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		<title>Statistics Week 4 Graded Assignments IIT Madras</title>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 14:38:47 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
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		<category><![CDATA[Statistics Week 4 Graded Assignments IIT Madras]]></category>
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					<description><![CDATA[Statistics week 4 graded assignment Complete&#160; Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments&#160; The phone brands OnePlus, Vivo and Oppo are owned by BBK Electronics. Table 4.1.G represents the data for the sales (in&#8230;&#160;<a href="/statistics-week-4-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">Statistics Week 4 Graded Assignments IIT Madras</span></a>]]></description>
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.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}</style>				<p><em>Statistics week 4 graded assignment Complete&nbsp; Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments&nbsp;</em></p>						</div>
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							<div style="margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><p>The phone brands OnePlus, Vivo and Oppo are owned by BBK Electronics. Table 4.1.G represents the data for the sales (in Lakhs) of OnePlus and BBK Electronics by different dealers in Chennai and Punjab in the year 2010.</p><p> </p><table style="margin-top: 25px; margin-bottom: 25px; padding: 0px; caption-side: bottom; border-collapse: collapse; font-size: 0.9em; min-width: 400px; border-radius: 5px 5px 0px 0px; overflow: hidden; box-shadow: rgba(0, 0, 0, 0.15) 0px 0px 20px;"><thead style="margin: 0px; padding: 0px; border-width: 0px; border-image: initial;"><tr style="margin: 0px; padding: 0px; border-width: 0px; border-image: initial; background-color: #009879; color: #ffffff; font-weight: bold;"><th style="margin: 0px; padding: 12px 15px; text-align: center; border-color: inherit; border-width: 0px; border-image: initial;">Dealer’s Location</th><th style="margin: 0px; padding: 12px 15px; text-align: center; border-color: inherit; border-width: 0px; border-image: initial;">OnePlus</th><th style="margin: 0px; padding: 12px 15px; text-align: center; border-color: inherit; border-width: 0px; border-image: initial;">BBK Electronics</th></tr></thead><tbody style="margin: 0px; padding: 0px; border-width: 0px; border-image: initial;"><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Chennai</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">6</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">10</td></tr><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Punjab</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">2</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">10</td></tr><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Chennai</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">1</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">11</td></tr><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Punjab</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">1</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">11</td></tr><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Chennai</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">2</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">10</td></tr><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Punjab</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">1</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">11</td></tr><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 2px; border-bottom-style: solid; border-bottom-color: #009879; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Chennai</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">6</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">16</td></tr></tbody><caption style="margin: 0px; padding: 0.5rem 0px; color: #6c757d; text-align: left;" align="bottom">Table Q4.1.G: Sales Data</caption></table><p>Are you able to see 7 dealer&#8217;s location and the sales of OnePlus and BBK Electronics?</p></div><div style="margin: 16px 0px 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" type="radio" data-index="0" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.0.5585703157104640.0">Yes</label></span></div><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.0.5585703157104640.1">No</label></div></div><div> </div><div>2. What is the population standard deviation of sales of OnePlus?(Enter the answer correct to 2 decimal accuracy)</div><div><span style="color: #0000ff;">2.11</span></div><div> </div><div style="margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px;">3.What is the sample standard deviation of sales of BBK Electronics?(Enter the answer correct to 2 decimal accuracy)</div><div><span style="color: #0000ff;">2.14</span></div><div><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;"> </span></div><div><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;">4.What is the sample co-variance between the sales of OnePlus and BBK Electronics?(Enter the answer correct to 2 decimal accuracy)</span><br /><span style="color: #0000ff; font-family: sans-serif; font-size: 14px;">2.42</span></div><div><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;"> </span></div><div style="margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px;">5.What is the correlation coefficient between the sales of OnePlus and BBK Electronics?(Enter the answer correct to 2 decimal accuracy)</div><div><span style="color: #0000ff;">0.49</span></div><div> </div><div style="margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px;"> </div><div style="margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px;"> 6.<span style="background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">What can you say about the linear relationship between the sales of OnePlus and BBKElectronics?(More than one option can be correct)</span></div><div style="margin: 16px 0px 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" type="checkbox" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.5.5079327855083520.0">Weak</label></div><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" type="checkbox" data-index="1" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.5.5079327855083520.1">Positive</label></span></div><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" type="checkbox" data-index="2" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.5.5079327855083520.2">Moderate</label></span></div><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" type="checkbox" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.5.5079327855083520.3">Negative</label></div><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" type="checkbox" data-index="4" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.5.5079327855083520.4">Strong</label></div><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" type="checkbox" data-index="5" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.5.5079327855083520.5">Absence of linear relationship</label><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.5.5079327855083520.5"><br /></label></div></div><div> </div><div>7. <span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">Is the sales of OnePlus strongly influenced by the location of dealer?</span></div><div style="margin: 16px 0px 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" type="radio" data-index="0" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.6.4559514774798336.0">No</label></span></div><div style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="IJeyOA4f7FA4.6.4559514774798336.1">Yes</label></div></div><div> </div><div>8.  <span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">651 college students are classified according to their intelligence and economic conditions and the results are as follows.</span></div><p> </p><table style="margin-top: 25px; margin-bottom: 25px; padding: 0px; caption-side: bottom; border-collapse: collapse; font-size: 0.9em; min-width: 400px; border-radius: 5px 5px 0px 0px; overflow: hidden; box-shadow: rgba(0, 0, 0, 0.15) 0px 0px 20px;"><thead style="margin: 0px; padding: 0px; border-width: 0px; border-image: initial;"><tr style="margin: 0px; padding: 0px; border-width: 0px; border-image: initial; background-color: #009879; color: #ffffff; font-weight: bold;"><th style="margin: 0px; padding: 12px 15px; text-align: center; border-color: inherit; border-width: 0px; border-image: initial;">Economic Conditions</th><th style="margin: 0px; padding: 12px 15px; text-align: center; border-color: inherit; border-width: 0px; border-image: initial;" colspan="4">Intelligence level</th></tr></thead><tbody style="margin: 0px; padding: 0px; border-width: 0px; border-image: initial;"><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;"> </td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Bright</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Average</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Dull</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Borderline</td></tr><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Good</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">50</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">93</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">64</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">127</td></tr><tr style="margin: 0px; padding: 0px; border-width: 0px 0px 2px; border-bottom-style: solid; border-bottom-color: #009879; border-image: initial;"><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">Poor</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">59</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">90</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">88</td><td style="margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;">80</td></tr></tbody><caption style="margin: 0px; padding: 0.5rem 0px; color: #6c757d; text-align: left;" align="bottom">Table Q4.2.G: Intelligence Level and Economic Conditions</caption></table><p> </p><p><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;">Are you able to see all the eight values in a contigency Table Q4.2.G?(Type 0 for No and type 1 for Yes)</span></p><p><span style="color: #0000ff;">1</span></p><p><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;">9. What proportion of total students are dull? (Enter the answer correct to 2 decimal accuracy)</span></p><p><span style="color: #0000ff;"><span style="font-family: sans-serif; font-size: 14px;"> </span><span style="background-color: var(--nv-site-bg); font-size: 14px;"><span style="font-family: sans-serif;">0.23</span></span></span></p><p><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;">10. What proportion of total students are in poor economic conditions? (Enter the answer correct to 2 decimal accuracy)</span><span style="background-color: var(--nv-site-bg); font-size: 14px;"><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif;"><br /></span></span></p><p><span style="color: #0000ff; font-family: sans-serif; font-size: 14px;">0.48</span></p><p><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;">11. What proportion of students of good economic conditions are borderline? (Enter the answer correct to 2 decimal accuracy)</span><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;"><br /></span></p><p><span style="color: #0000ff; font-family: sans-serif; font-size: 14px;">0.38</span></p><p><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;"> </span></p><p><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;">12. What percentage of bright students are in poor economic conditions? (Enter the answer correct to 2 decimal accuracy)</span><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;"><br /></span></p><p><span style="color: #0000ff; font-family: sans-serif; font-size: 14px;">54.12</span></p><p><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px;">13.  </span><span style="color: rgba(0, 0, 0, 0.87); font-family: sans-serif; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">What percentage of average students are in good economic conditions? (Enter the answer correct to 2 decimal accuracy)</span></p><p><span style="color: #0000ff; font-family: sans-serif; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">50.81</span></p>						</div>
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		<title>CT Week 4 Graded Assignments IIT Madras</title>
		<link>/ct-week-4-graded-assignments-iit-madras/</link>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 14:24:25 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[4 Graded Assignments IIT Madras]]></category>
		<category><![CDATA[A]]></category>
		<category><![CDATA[CT Week 1 Graded Assignments IIT Madras]]></category>
		<category><![CDATA[CT Week 4 Graded Assignments IIT Madras]]></category>
		<category><![CDATA[For which of the following situations is a nested loop needed? Assume that no procedure is used. It is a Multiple Select Question]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Number of vowels are same in both the words]]></category>
		<category><![CDATA[The following pseudocode is executed using the “Olympics” dataset. At the end of the execution]]></category>
		<category><![CDATA[Two words are said to be special if they fulfill following conditions:]]></category>
		<category><![CDATA[Week 4 Graded Assignments]]></category>
		<category><![CDATA[What will B represent at the end of execution?]]></category>
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					<description><![CDATA[Computational Thinking week 4 graded assignment Complete&#160; Solutions Are Discussed In This Blog. We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons If Not Able To Complete Graded Assignments&#160; 1.For which of the following situations is a nested loop needed? Assume that no procedure is used. It is&#8230;&#160;<a href="/ct-week-4-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">CT Week 4 Graded Assignments IIT Madras</span></a>]]></description>
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							<p><em style="font-family: &quot;Trebuchet MS&quot;, sans-serif;">Computational Thinking week 4 graded assignment Complete&nbsp; Solutions Are Discussed In This Blog. We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons If Not Able To Complete Graded Assignments&nbsp;</em><br></p>						</div>
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							<div class="qt-question" style="margin: 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;">1.For which of the following situations is a nested loop needed? Assume that no procedure is used. It is a Multiple Select Question (MSQ).</div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.0.6404009128624128.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="SfWfp8tjght1.0.6404009128624128" type="checkbox" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.0">To find the number of authors who have written a book in &#8220;French&#8221; in 2007 from the &#8220;Library&#8221; dataset.</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.0.6404009128624128.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="SfWfp8tjght1.0.6404009128624128" type="checkbox" data-index="1" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.1">To find the number of pair of students who have scored the same Physics marks from the &#8220;Scores&#8221; dataset</label></span></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.0.6404009128624128.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="SfWfp8tjght1.0.6404009128624128" type="checkbox" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.2">To find the number of players who have won the medal in &#8220;Wrestling&#8221; from the &#8220;Olympics&#8221; dataset</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.0.6404009128624128.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="SfWfp8tjght1.0.6404009128624128" type="checkbox" data-index="3" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.3">To find the number of students with at least two vowels in their name from the &#8220;Scores&#8221; dataset.</label></span><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.3"><br /></label><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.3"><br /></label><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.3"><br /></label><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.3"><br /></label><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.3"><br /></label><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.0.6404009128624128.3"><br /></label></div></div><div> </div><div> 2. <span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">The following pseudocode is executed using the “Words” dataset. Assume that</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">length(x) </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">is a procedure that returns the number of letters present in a word</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">x</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">. What will</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">A </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">represent at the end of the execution?</span></div><div class="qt-question" style="margin: 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq2.png?seed=96859&amp;url=assets/img/w4gaq2.png" alt="" /></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.1.4996634245070848.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.1.4996634245070848" type="radio" data-index="0" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.1.4996634245070848.0">Number of students whose names are without vowels</label></span></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.1.4996634245070848.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.1.4996634245070848" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.1.4996634245070848.1">Number of students whose names have at most one vowel</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.1.4996634245070848.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.1.4996634245070848" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.1.4996634245070848.2">Number of students whose names have exactly one vowel</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.1.4996634245070848.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.1.4996634245070848" type="radio" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.1.4996634245070848.3">Number of students whose names have at least one vowel</label></div></div><div> </div><div> 3. <span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">The following pseudocode is executed using the “Library” dataset. What will</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bold;">C </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">represent at the end of the execution? Assume that there is only one row corresponding to each author in the &#8220;Library&#8221; dataset.</span></div><div class="qt-question" style="margin: 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq3.png?seed=28649&amp;url=assets/img/w4gaq3.png" alt="" /></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.2.5804554503323648.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.2.5804554503323648" type="radio" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.2.5804554503323648.0">Number of authors who have written different genre books in same language</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.2.5804554503323648.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.2.5804554503323648" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.2.5804554503323648.1">Number of pairs of authors who have written different genre books in same language</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.2.5804554503323648.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.2.5804554503323648" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.2.5804554503323648.2">Number of authors who have written same genre books in different language</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.2.5804554503323648.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.2.5804554503323648" type="radio" data-index="3" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.2.5804554503323648.3">Number of pairs of authors who have written same genre books in different language</label></span></div></div><div> </div><div>4.  <span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">Two words are said to be special if they fulfill following conditions:</span></div><div class="qt-question" style="margin: 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;">Number of vowels are same in both the words<br style="margin: 0px; padding: 0px;" />Number of consonants are not same in both the words<br style="margin: 0px; padding: 0px;" />The given pseudocode is executed using the “Words” dataset. The variable <span style="margin: 0px; padding: 0px; font-weight: bold;">count </span>in the given pseudocode counts the number of special pairs. Choose the correct code fragment to complete the pseudocode.<br style="margin: 0px; padding: 0px;" /><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq4.png?seed=84200&amp;url=assets/img/w4gaq4.png" alt="" /></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.3.5269065228615680.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.3.5269065228615680" type="radio" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.0"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq4a.png?seed=78284&amp;url=assets/img/w4gaq4a.png" alt="" /></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.1">      <img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq4b.png?seed=91267&amp;url=assets/img/w4gaq4b.png" alt="" /> <label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.0"><span style="color: #0000ff;">correct answer</span></label></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.3.5269065228615680.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.3.5269065228615680" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.2"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq4c.png?seed=71762&amp;url=assets/img/w4gaq4c.png" alt="" /></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="SfWfp8tjght1.3.5269065228615680.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="SfWfp8tjght1.3.5269065228615680" type="radio" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.3"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq4d.png?seed=68231&amp;url=assets/img/w4gaq4d.png" alt="" /></label></div></div><div> </div><div> <span style="background-color: #fafafc; color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">The following pseudocode is executed using the “Scores” dataset. The variables</span><span style="background-color: #fafafc; color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">M</span><span style="background-color: #fafafc; color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">,</span><span style="background-color: #fafafc; color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">P </span><span style="background-color: #fafafc; color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">and</span><span style="background-color: #fafafc; color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">C </span><span style="background-color: #fafafc; color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">store the number of students in Mathematics, Physics and Chemistry clubs respectively. </span></div><p style="margin-bottom: 12px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); background-color: #fafafc;"> </p><p><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; font-family: Ubuntu; vertical-align: middle; color: rgba(0, 0, 0, 0.87); background-color: #fafafc;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq5,6.png?seed=9032&amp;url=assets/img/w4gaq5,6.png" alt="" /></p><div class="qt-question" style="margin: 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;">Which club can a student join if he/she gets 91 marks in all three subjects?</div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.0.5853199705571328.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.0.5853199705571328" type="radio" data-index="0" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.0.5853199705571328.0">Physics</label></span></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.0.5853199705571328.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.0.5853199705571328" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.0.5853199705571328.1">Chemistry</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.0.5853199705571328.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.0.5853199705571328" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.0.5853199705571328.2">Mathematics</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.0.5853199705571328.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.0.5853199705571328" type="radio" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.0.5853199705571328.3">The student cannot join any club</label></div></div><div> </div><div> <span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">Can a student join more than one club ?</span></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.1.5945957661278208.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.1.5945957661278208" type="radio" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.1.5945957661278208.0">Yes, if the student has scored more than 90 marks in at least two subject</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.1.5945957661278208.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.1.5945957661278208" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.1.5945957661278208.1">Yes, if the student has scored more than 90 marks in Mathematics and Chemistry</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.1.5945957661278208.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.1.5945957661278208" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.1.5945957661278208.2">Yes, if the student has secured more than 90 marks and the same marks in Mathematics and Chemistry</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.1.5945957661278208.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.1.5945957661278208" type="radio" data-index="3" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.1.5945957661278208.3">No, a student cannot join more than one club</label></span></div></div><div> </div><div> <span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">he given pseudocode is executed using the “Shopping Bills” dataset.</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bold;">frac </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">stores the ratio of the number of customers who purchased both “Soap” and “Facewash” to the number of customers who purchased “Facewash”. Choose the correct code fragment to complete the pseudocode. (Assume there is at least one customer who has purchased “Facewash”).</span></div><div class="qt-question" style="margin: 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq7.png?seed=89162&amp;url=assets/img/w4gaq7.png" alt="" /></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.2.5241604549902336.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.2.5241604549902336" type="radio" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.2.5241604549902336.0"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq7a.png?seed=74652&amp;url=assets/img/w4gaq7a.png" alt="" /></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.2.5241604549902336.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.2.5241604549902336" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.2.5241604549902336.1"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq7b.png?seed=33174&amp;url=assets/img/w4gaq7b.png" alt="" /></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.2.5241604549902336.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.2.5241604549902336" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.2.5241604549902336.2"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq7c.png?seed=93396&amp;url=assets/img/w4gaq7c.png" alt="" /></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.2.5241604549902336.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="lfsJJaRxlPe4.2.5241604549902336" type="radio" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.2.5241604549902336.3"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq7d.png?seed=24096&amp;url=assets/img/w4gaq7d.png" alt="" /> <label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.0"><span style="color: #0000ff;">correct answer</span></label></label></div></div><div> </div><div> 8. <span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">The following pseudocode is executed using the “Olympics” dataset. At the end of the execution,</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">A</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">,</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">B </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">and</span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);"> </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bolder;">C </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">store the number of pairs of players from the same nation who have won same medal in different year. Assume that one player has won only one medal. Choose the correct code fragment(s) to complete the pseudocode. It is a Multiple Select Questions(MSQ)</span></div><div class="qt-question" style="margin: 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq8.png?seed=71366&amp;url=assets/img/w4gaq8.png" alt="" /></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.3.5763509866463232.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="lfsJJaRxlPe4.3.5763509866463232" type="checkbox" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.3.5763509866463232.0"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq8a.png?seed=23190&amp;url=assets/img/w4gaq8a.png" alt="" /> <label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.0"><span style="color: #0000ff;">correct answer</span></label></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.3.5763509866463232.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="lfsJJaRxlPe4.3.5763509866463232" type="checkbox" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.3.5763509866463232.1"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq8b.png?seed=69865&amp;url=assets/img/w4gaq8b.png" alt="" /> <label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.0"><span style="color: #0000ff;">correct answer</span></label></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.3.5763509866463232.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="lfsJJaRxlPe4.3.5763509866463232" type="checkbox" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.3.5763509866463232.2"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq8c.png?seed=29961&amp;url=assets/img/w4gaq8c.png" alt="" /> <label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="SfWfp8tjght1.3.5269065228615680.0"><span style="color: #0000ff;">correct answer</span></label></label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="lfsJJaRxlPe4.3.5763509866463232.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="lfsJJaRxlPe4.3.5763509866463232" type="checkbox" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="lfsJJaRxlPe4.3.5763509866463232.3"><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq8d.png?seed=88312&amp;url=assets/img/w4gaq8d.png" alt="" /></label></div></div><div> </div><div> <span style="background-color: #fafafc; color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: var(--bodyfontsize); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">The following pseudocode is executed using the “Words” dataset. </span></div><p style="margin-bottom: 12px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); background-color: #fafafc;"> </p><p><img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; font-family: Ubuntu; vertical-align: middle; color: rgba(0, 0, 0, 0.87); background-color: #fafafc;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/w4gaq9,10.png?seed=82242&amp;url=assets/img/w4gaq9,10.png" alt="" /></p><div class="qt-question" style="margin: 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;">9. What will <span style="margin: 0px; padding: 0px; font-weight: bold;">A </span>represent at the end of execution?</div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="98V2DKDVIXfe.0.6394965135458304.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="98V2DKDVIXfe.0.6394965135458304" type="radio" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="98V2DKDVIXfe.0.6394965135458304.0">Number of words after the first noun in every sentence which are not adjectives</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="98V2DKDVIXfe.0.6394965135458304.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="98V2DKDVIXfe.0.6394965135458304" type="radio" data-index="1" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="98V2DKDVIXfe.0.6394965135458304.1">Number of words which appear before the first adjective in every sentence</label></span></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="98V2DKDVIXfe.0.6394965135458304.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="98V2DKDVIXfe.0.6394965135458304" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="98V2DKDVIXfe.0.6394965135458304.2">Number of words other than nouns which appear before the first adjective in every sentence</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="98V2DKDVIXfe.0.6394965135458304.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="98V2DKDVIXfe.0.6394965135458304" type="radio" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="98V2DKDVIXfe.0.6394965135458304.3">Number of words after the first adjectives in every sentence which are not nouns</label></div></div><div> </div><div><div class="qt-choices"><div class="gcb-mcq-choice">10.  <span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">What will </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform); margin: 0px; padding: 0px; font-weight: bold;">B </span><span style="color: rgba(0, 0, 0, 0.87); font-family: Ubuntu; font-size: 14px; background-color: var(--nv-site-bg); font-weight: var(--bodyfontweight); letter-spacing: var(--bodyletterspacing); text-transform: var(--bodytexttransform);">represent at the end of execution?</span></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px; font-family: Ubuntu; color: rgba(0, 0, 0, 0.87); font-size: 14px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="98V2DKDVIXfe.1.5159517339779072.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="98V2DKDVIXfe.1.5159517339779072" type="radio" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="98V2DKDVIXfe.1.5159517339779072.0">Number of nouns after the second adjective in every sentence</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="98V2DKDVIXfe.1.5159517339779072.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="98V2DKDVIXfe.1.5159517339779072" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="98V2DKDVIXfe.1.5159517339779072.1">Number of nouns before the second adjective in every sentence</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="98V2DKDVIXfe.1.5159517339779072.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="98V2DKDVIXfe.1.5159517339779072" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="98V2DKDVIXfe.1.5159517339779072.2">Number of nouns before the first adjective in every sentence</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="98V2DKDVIXfe.1.5159517339779072.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="98V2DKDVIXfe.1.5159517339779072" type="radio" data-index="3" /><span style="color: #0000ff;"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="98V2DKDVIXfe.1.5159517339779072.3">Number of nouns after the first adjective in every sentence</label></span></div></div></div></div><div> </div>						</div>
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</style></head><body><h1 style="padding-top: 3pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark0">Week-4, Graded Assignment</a></h1><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h2 style="padding-top: 7pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark1">Question 1 [4 Marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark2">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;"><span>For which of the following situations is a nested loop needed? Assume that no procedure is used. It is a<br/>Multiple Select Question (MSQ).</span></p><h3 style="padding-top: 8pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark3">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark4">(a)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">To find the number of authors who have written a book in &quot;French&quot; in 2007 from the &quot;Library&quot; dataset.</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark5">(b)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">To find the number of pair of students who have scored the same Physics marks from the &quot;Scores&quot; dataset</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark6">(c)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">To find the number of players who have won the medal in &quot;Wrestling&quot; from the &quot;Sports&quot; dataset</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark7">(d)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">To find the number of students with at least two vowels in their name from the &quot;Scores&quot; dataset.</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark8">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(b), (d)</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark9">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">We will check each and options one by one:</p><p class="s1" style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Option (a)<span class="p">: This requires only one loop.</span></p><p class="s1" style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option (b)<span class="p">: For finding the pair of students who scored the same Physics mark requires nested loop. The<br/>outer loop fix one of the student&#39;s mark and the inner loop compares with remaining student&#39;s mark.</span></p><p class="s1" style="padding-top: 8pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Option (c)<span class="p">: This requires only one loop.</span></p><p class="s1" style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option (d)<span class="p">: It requires nested loop to find the number of students with at least two vowels in their name<br/>from the &quot;Sports&quot; dataset. The outer loop iterates through the each student&#39;s name and the inner loop will<br/>iterate through the each letters of the student&#39;s name.</span></p><p style="padding-top: 8pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Therefore the correct options are (b), (d).</p><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark10">Question 2 [4 Marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark11">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The following pseudocode is executed using the “Scores” dataset. Assume that <b>length(x) </b><span>is a procedure that<br/>returns the number of letters present in a word </span><b>x</b>. What will <b>A </b>represent at the end of the execution?</p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row X in Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">i </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">B </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">True</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Name</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">i </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&lt;= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">length</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">ith letter of C is a vowel</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">B </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">False</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">i </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">i </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">B</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">2</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h3 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark12">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark13">(a)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of students whose names are without vowels</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark14">(b)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of students whose names have at most one vowel</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark15">(c)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of students whose names have exactly one vowel</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark16">(d)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of students whose names have at least one vowel</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark17">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(a)</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark18">Solution</a></h3><p style="padding-top: 4pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">In this pseudocode nested while loop is used in which outer loop iterates through each student. Variable <b>C</b>stores the name of the student, procedure <b>length(x) </b>counts the number of letters present in <b>C </b><span>and the<br/>inner loop iterates through the each letter of </span><b>C</b><span>. The variable B is updated to False whenever a vowel is<br/>found in a word. Therefore variable </span><b>A </b><span>counts those words which do not have vowels. Therefore the correct<br/>option is (a).</span></p><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark19">Question 3 [4 Marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark20">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The following pseudocode is executed using the “Library” dataset. What will <b>C </b><span>represent at the end of the<br/>execution? Assume that there is only one row corresponding to each author in the &quot;Library&quot; dataset.</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row X in Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">2</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row Y in Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">findpair</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){</span></p><p style="padding-left: 73pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move Y to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">3</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move all rows from Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">3 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Procedure </span><span style=" color: #00F; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">findPair</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Genre </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Genre and X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Language </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">!= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Language</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">True</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">else</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">{</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">False</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">End findPair</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h3 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark21">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark22">(a)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of authors who have written different genre books in same language</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark23">(b)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of pairs of authors who have written different genre books in same language</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark24">(c)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of authors who have written same genre books in different language</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark25">(d)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of pairs of authors who have written same genre books in different language</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark26">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(d)</p><h3 style="padding-top: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark27">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;"><span>In this pseudocode nested while loop is used which find pairs of authors. Now we investigate the<br/>pseudocode closely. The variable </span><b>C </b>is incremented whenever procedure <b>findPair(X, Y) </b><span>returns True. The<br/>procedure </span><b>findPair(X, Y) </b><span>returns True for pair of authors who authored in the different language but same<br/>genre  . Therefore, variable </span><b>C </b><span>counts the number of pairs of authors who have written books in different<br/>language in same genre. Therefore option (d) is correct.</span></p><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark28">Question 4 [5 Marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark29">Statement</a></h3><p style="text-indent: 0pt;text-align: left;"/><p style="padding-top: 1pt;padding-left: 27pt;text-indent: -22pt;line-height: 23pt;text-align: left;"><span>Two words are said to be special if they fulfill following conditions:<br/>Number of vowels are same in both the words</span></p><p style="text-indent: 0pt;text-align: left;"/><p style="padding-top: 2pt;padding-left: 27pt;text-indent: 0pt;text-align: left;">Number of consonants are not same in both the words</p><p style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The given pseudocode is executed using the “Words” dataset. The variable <b>count </b><span>in the given pseudocode<br/>counts the number of special pairs. Choose the correct code fragment(s) to complete the pseudocode.</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">count </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row X in Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">2</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row Y in Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 69pt;text-indent: -16pt;line-height: 136%;text-align: left;"><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">**********************<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Fill here</span></p><p style="padding-left: 52pt;text-indent: 1pt;line-height: 136%;text-align: left;"><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">**********************<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move Y to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">3</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move all rows from Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">3 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Procedure </span><span style=" color: #00F; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">vCount</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">vowelCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">i </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">i </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&lt;= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">LetterCount</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">ith letter of Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Word is a vowel</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">vowelCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">vowelCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">i </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">i </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">vowelCount</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">End vCount</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h3 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark30">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark31">(a)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 36pt;text-indent: -25pt;line-height: 136%;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if(X.LetterCount == Y.LetterCount){<br/>if(vCount(X) == vCount(Y)){</span></p><p style="padding-left: 73pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">count = count + 1</span></p><p style="padding-top: 3pt;padding-left: 36pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark32">(b)</a></h4><p style="padding-top: 6pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if(X.LetterCount != Y.LetterCount){<br/>if(vCount(X) == vCount(Y)){</span></p><p style="padding-left: 73pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">count = count + 1</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark33">(c)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 7pt;padding-left: 36pt;text-indent: -25pt;line-height: 136%;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if(X.LetterCount == Y.LetterCount){<br/>if(vCount(X) != vCount(Y)){</span></p><p style="padding-left: 73pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">count = count + 1</span></p><p style="padding-top: 3pt;padding-left: 36pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark34">(d)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 36pt;text-indent: -25pt;line-height: 136%;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if(X.LetterCount != Y.LetterCount){<br/>if(vCount(X) != vCount(Y)){</span></p><p style="padding-left: 73pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">count = count + 1</span></p><p style="padding-top: 3pt;padding-left: 36pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h3 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark35">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(b)</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark36">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;"><span>The given pseudocode counts the number of special pairs. We need to find the pair of words have same<br/>number of vowels and different number of consonants. This is possible only when the letter count of both<br/>the words are not same. Let us check the options one by one.</span></p><p class="s1" style="padding-top: 7pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option (a) <span class="p">: This options checks if the letter count of both the words are same and if same the number of<br/>vowels should also be same. This means that number of consonants will also be the same. Hence, this is an<br/>incorrect option.</span></p><p class="s1" style="padding-top: 8pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option (b) <span class="p">: This options checks if the letter count of both the words are not same and if same the number<br/>of vowels be same. This means that number of consonants will not be the same. This is the correct option.</span></p><p class="s1" style="padding-top: 7pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: justify;">Option (c) <span class="p">: This options checks if the letter count of both the words are same and if same the number of<br/>vowels should not be same. This does not satisfy the condition of the question. Hence, this is an incorrect<br/>option.</span></p><p class="s1" style="padding-top: 7pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option (d) <span class="p">: This options checks if the letter count of both the words are not same and if same the number<br/>of vowels are also not same. This does not satisfy the condition of the question. Hence, this is an incorrect<br/>option.</span></p><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark37">Question (5-6)</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark38">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The following pseudocode is executed using the “Scores” dataset. The variables <b>M</b>, <b>P </b>and <b>C </b><span>store the<br/>number of students in Mathematics, Physics and Chemistry clubs respectively.</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">M </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">P </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row X in Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">subject </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">maxSubject</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">subject </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&gt; </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">90</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-left: 73pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">subject </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Mathematics&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">M </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">M </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">subject </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Physics&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">P </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">P </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">subject </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Chemistry&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">2</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Procedure </span><span style=" color: #00F; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">maxSubject</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Chemistry </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&gt; </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Mathematics</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-left: 73pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Chemistry </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&gt; </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Physics</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Chemistry&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">else</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">{</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Physics&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">else</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">{</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Mathematics </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&gt; </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Physics</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Mathematics&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">else</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">{</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Physics&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">End maxSubject</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark39">Questions 5 [5 marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark40">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Which club can a student join if he/she gets 91 marks in all three subjects?</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark41">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;line-height: 175%;text-align: left;"><a name="bookmark42"><span>(a)<br/></span></a><span class="p">Physics<br/></span><span>(b)<br/></span><span class="p">Chemistry<br/></span>(c)<a name="bookmark43">&zwnj;</a><a name="bookmark44">&zwnj;</a></h4><p style="padding-left: 5pt;text-indent: 0pt;line-height: 11pt;text-align: left;">Mathematics</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark45">(d)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">The student cannot join any club</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark46">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(a)</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark47">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The joining of a club will depend on the return value of the procedure <b>maxSubject</b><span>. In this question it is<br/>given that a student got 90 marks in all subjects. The procedure </span><b>maxSubject </b><span>will be called. In the procedure<br/>firstly Chemistry marks is compared with Mathematics marks. Since Chemistry marks is same as<br/>Mathematics marks, the if-block sets to be False and flow of the code will go to else-block. Inside the else-<br/>block, Mathematics marks is compared with Physics marks. Since Mathematics marks is same as Physics<br/>marks, the if-block sets to be False and flow of the code will go to else-block and &quot;Physics&quot; will be returned.<br/>Now the value stored in variable </span><b>subject </b><span>is &quot;Physics&quot;. Since Physics marks is which is more than 90, variable<br/></span><b>C </b><span>will be incremented. Therefore a student who will get more 9and same marks in all subjects. He/she will<br/>join Physics club. The correct option is (a).</span></p><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark48">Question 6 [4 Marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark49">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Can a student join more than one club ?</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark50">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark51">(a)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Yes, if the student has scored more than 90 marks in at least two subject</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark52">(b)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Yes, if the student has scored more than 90 marks in Mathematics and Chemistry</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark53">(c)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Yes, if the student has secured more than 90 marks and the same marks in Mathematics and Chemistry</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark54">(d)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">No, a student cannot join more than one club</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark55">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(d)</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark56">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;"><span>From the previous question we saw that joining of a club depends upon the return value of procedure<br/></span><b>maxSubject </b><span>and it returns only one value which is further compared in the main part of the code. Hence a<br/>student can join only one club if he/she gets more than 90 marks in that subject. Hence the correct option is<br/>(d).</span></p><h3 style="padding-top: 4pt;padding-left: 5pt;text-indent: 0pt;line-height: 152%;text-align: left;"><a name="bookmark57"><span>Question 7 [4 Marks]<br/>Statement</span></a><a name="bookmark58">&zwnj;</a></h3><p style="padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The given pseudocode is executed using the “Shopping Bills” dataset. <b>frac </b><span>stores the ratio of the number of<br/>customers who purchased both “Soap” and “Facewash” to the number of customers who purchased<br/>“Facewash”. Choose the correct code fragment to complete the pseudocode. (Assume there is at least one<br/>customer who has purchased “Facewash”).</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Pile </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more cards</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the top card X in Pile </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">*********************</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">* </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Fill the code </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">*</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">*********************<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Pile </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">2.</span></p><p style="padding-left: 10pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">frac </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">/ </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Procedure </span><span style=" color: #00F; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem </span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">False</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Card Y has more items</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read an item Z from ItemList of card Y<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Item </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-left: 73pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">True</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Remove Z from ItemList of Y</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">End isItem</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h3 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark59">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark60">(a)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 7pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">“Facewash”</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 10pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">“Soap”</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 10pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark61">(b)</a></h4><p style="padding-top: 6pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">“Soap”</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 52pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">“Facewash”</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark62">(c)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 7pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">“Facewash”</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">) </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">and </span><span style=" color: #00F; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">“Soap”</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark63">(d)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">“Facewash”</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">mCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">isItem</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">“Soap”</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)){</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">bCount </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h3 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark64">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(d)</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark65">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Procedure <b>isItem (Y, A) </b>returns True if item <b>A </b><span>is there in the item list of card Y otherwise returns False. As<br/>we are trying to find the ratio of customers who purchased both Soap and Facewash to the number of<br/>customers who purchased Facewash, </span><b>bCount </b><span>should stores the number of customers who buy Soap and<br/>Facewash together and </span><b>mCount </b>should store the number of customers who buy Facewash.</p><p class="s1" style="padding-top: 7pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option a. bCount <span class="p">stores the number of customers who buy Soap (irrespective of the customers who buy<br/>Facewash or not). This is not the situation we want.</span></p><p class="s1" style="padding-top: 8pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option b. mCount <span class="p">stores the number of customers who buy Facewash only if they buy Soap. This is not the<br/>situation we want.</span></p><p class="s1" style="padding-top: 7pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option c. bCount <span class="p">and </span>mCount <span class="p">are always same and stores the number of customers who buy both Soap<br/>and Facewash. This is not the case here.</span></p><p class="s1" style="padding-top: 7pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">Option d. mCount <span class="p">stores the number of customers who have bought the Facewash and </span>bCount <span class="p">stores the<br/>number of customers who buy Soap only if they buy Facewash. This the required condition. Therefore,<br/>option    d is correct.</span></p><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark66">Question 8 [4 Marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark67">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The following pseudocode is executed using the “Olympics” dataset. At the end of the execution, <b>A</b>, <b>B </b>and <b>C</b>store the number of pairs of players from the same nation who have won same medal in different year.</p><p style="padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;"><span>Assume that one player has won only one medal. Choose the correct code fragment(s) to complete the<br/>pseudocode. It is a Multiple Select Questions(MSQ)</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">B </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row X in Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Medal </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Gold&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">2</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Medal </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Silver&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">3</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Medal </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Bronze&quot;</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">4</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;line-height: 136%;text-align: justify;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">similarPlayers</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">2</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">B </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">similarPlayers</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">3</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">C </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">similarPlayers</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">4</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Procedure </span><span style=" color: #00F; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">similarPlayers</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table T1</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table T1 has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row Y in Table T1<br/>Move Y to Table T2</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table T1 has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row Z in Table T1<br/>Move Z to Table T3</span></p><p style="padding-left: 73pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">*****************************</span></p><p style="padding-top: 3pt;padding-left: 94pt;text-indent: 0pt;text-align: left;"><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">* </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Fill the code </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">*</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: 0pt;text-align: left;"><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">*****************************</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move all rows from Table T3 to Table T1</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">return</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">End similarPlayers</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h3 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark68">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark69">(a)</a></h4><p style="padding-top: 6pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">!= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark70">(b)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 7pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">!= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark71">(c)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">!= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year and Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 10pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h4 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark72">(d)</a></h4><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">!= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year or Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 10pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><h3 style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark73">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(a), (b) , (c)</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark74">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The above pseudocode is executed on the “Olympics” dataset. At the end of the execution, variables <b>A</b>, <b>B</b>and <b>C </b><span>store the number of pairs of players from the same nation who have won same medal in different<br/>year. The pseudocode has to be completed with the correct code fragment from the given options. Let us<br/>observe the given pseudocode.</span></p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;"><span>In the main part of the pseudocode, three bins are created based on the medal won by the player. The first<br/>bin i.e. Table 2 stores the players who won the medal in &quot;Gold&quot;, the second bin i.e. Table 3 stores players<br/>who won the medal in &quot;Silver&quot; and the third bin i.e. Table 4 stores the players who won the medal in<br/>&quot;Bronze&quot;. Then procedure similarPlayers is called separately with created bins as an input (argument). The<br/>procedure similarPlayers contains a nested while loop. This nested while loop should create pairs of players<br/>from the created bins as mentioned in the problem. The condition for checking the same nation and<br/>different year of winning should be in the inner while loop of the procedure similarPlayers. The missing<br/>code fragment can be written as:</span></p><p style="padding-top: 6pt;padding-left: 31pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">!= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Year and Y</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Z</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Nationality</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">)<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">D </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 10pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 5pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;"><span>Here two conditions are connected with word “and”, which could be converted in two conditions using<br/>nested loop which is given in option a and b. Therefore, options a, b, and c are correct.</span></p><h3 style="padding-top: 4pt;padding-left: 5pt;text-indent: 0pt;line-height: 152%;text-align: left;"><a name="bookmark75"><span>Question (9-10)<br/>Statement</span></a><a name="bookmark76">&zwnj;</a></h3><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;">The following pseudocode is executed using the “Words” dataset.</p><p style="text-indent: 0pt;text-align: left;"><br/></p><p style="padding-top: 6pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">B </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">0</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">P </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">True</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">, </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Q </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">False<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">while</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1 </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">has more rows</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Read the first row X in Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1<br/></span><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">PartOfSpeech </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Adjective&quot; </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">and P</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 136%;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">P </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">False<br/>Q </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">True</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">PartOfSpeech </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">== </span><span style=" color: #A11; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">&quot;Noun&quot; </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">and Q</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">B </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">B </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-left: 31pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">else</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">{</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">not Q</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){</span></p><p style="padding-top: 3pt;padding-left: 73pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">A </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">+ </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">1</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 52pt;text-indent: -21pt;line-height: 136%;text-align: left;"><span style=" color: #770087; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">if</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">(</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">X</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">.</span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Word ends with a full stop</span><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">){<br/></span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">P </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">True</span></p><p style="padding-left: 52pt;text-indent: 0pt;line-height: 10pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Q </span><span style=" color: #971A1A; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">= </span><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">False</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-top: 3pt;padding-left: 31pt;text-indent: 0pt;text-align: left;"><span style=" color: black; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">Move X to Table </span><span style=" color: #164; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">2</span></p><p style="padding-top: 3pt;padding-left: 10pt;text-indent: 0pt;text-align: left;"><span style=" color: #333; font-family:Consolas, monospace; font-style: normal; font-weight: normal; text-decoration: none; font-size: 8.5pt;">}</span></p><p style="padding-left: 5pt;text-indent: 0pt;text-align: left;"/><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark77">Question 9 [4 Marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark78">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">What will <b>A </b>represent at the end of execution?</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark79">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark80">(a)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of words after the first noun in every sentence which are not adjectives</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark81">(b)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of words which appear before the first adjective in every sentence</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark82">(c)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of words other than nouns which appear before the first adjective in every sentence</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark83">(d)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of words after the first adjectives in every sentence which are not nouns</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark84">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(b)</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark85">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The given pseudocode is executed on the &quot;Words&quot; dataset. The increment of variable <b>A </b><span>depends on the<br/>variable </span><b>Q</b>. Variable <b>A </b>is incremented for False value of <b>Q</b>. Since it check for &quot;not <b>Q</b>&quot;. The variable <b>Q </b><span>is set as<br/>False initially and set to True when an adjective is found. Hence variable </span><b>A </b><span>will count the number of words<br/>which appear before the first adjective in every sentence.</span></p><h2 style="padding-top: 4pt;padding-bottom: 4pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark86">Question 10 [4 Marks]</a></h2><p style="padding-left: 5pt;text-indent: 0pt;line-height: 1pt;text-align: left;"/><h3 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark87">Statement</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">What will <b>B </b>represent at the end of execution?</p><h3 style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark88">Options</a></h3><h4 style="padding-top: 9pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark89">(a)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of nouns after the second adjective in every sentence</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark90">(b)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of nouns before the second adjective in every sentence</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark91">(c)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of nouns before the first adjective in every sentence</p><h4 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark92">(d)</a></h4><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">Number of nouns after the first adjective in every sentence</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark93">Answer</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;text-align: left;">(d)</p><h3 style="padding-top: 10pt;padding-left: 5pt;text-indent: 0pt;text-align: left;"><a name="bookmark94">Solution</a></h3><p style="padding-top: 11pt;padding-left: 5pt;text-indent: 0pt;line-height: 115%;text-align: left;">The increment of <b>B </b>depends on <b>Q </b>even though part of speech of a word is adjective. <b>Q </b><span>is initially False and<br/>set to be True when an adjective is found. Hence </span><b>B </b><span>will count number of nouns after the first adjective in<br/>every sentence.</span></p></body></html>
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		<title>English Week 4 Graded Assignments IIT Madras</title>
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					<comments>/english-week-4-graded-assignments-iit-madras/#respond</comments>
		
		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 14:04:23 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[Deepthi is not here. Could you please ______.]]></category>
		<category><![CDATA[English Week 4 Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Geetha]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Let us leave aside slogans let us leave aside words which frighten people]]></category>
		<category><![CDATA[Our difficulty is how to make the heterogeneous mass that we have today take a decision in common and march in a cooperative way on that road which is bound to lead us to unity]]></category>
		<category><![CDATA[Our difficulty is not with regard to the ultimate our difficulty is with regard to the beginning]]></category>
		<category><![CDATA[The phrase ‘pick up’ (in the context of a telephonic conversation) means to answer the call.]]></category>
		<category><![CDATA[Week 4 Graded Assignments]]></category>
		<category><![CDATA[When someone says “Your voice is echoing” it becomes evident the voice is resurfacing and hence the tele-conversation is not clear.]]></category>
		<category><![CDATA[while speaking to Mary (on the phone) hears vibrating noise. Choose the best appropriate sentence that Geeta should use to convey the problem.]]></category>
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					<description><![CDATA[English week 4 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments  1 So far as the ultimate goal is concerned I think none of us need have any apprehensions None of us&#8230;&#160;<a href="/english-week-4-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">English Week 4 Graded Assignments IIT Madras</span></a>]]></description>
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							<p class="MsoNormal" style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; line-height: 107%; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">1 </span><span style="font-size: 10.5pt; line-height: 107%; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">So far as the ultimate goal is concerned I think none of us need have any apprehensions None of us need have any doubt</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="9hq7uruqijIC.0.5770723813490688" type="radio" />So far/ as the ultimate goal is concerned/ I think none of us/ need have any apprehensions//None of us need have/ any doubt//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.0.5770723813490688" type="radio" />So far as the/ ultimate goal/ is concerned/ I think none of us need/ have any apprehensions None/ of us need have any doubt//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.0.5770723813490688" type="radio" />So far/ as the ultimate/ goal is concerned/ I think none of us/ need have any apprehensions// None of us need/ have any doubt//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">2-Our difficulty is how to make the heterogeneous mass that we have today take a decision in common and march in a cooperative way on that road which is bound to lead us to unity</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.1.4750712634343424" type="radio" />Our difficulty/ is how to make the/ heterogeneous mass that/ we have today take/ a decision in common/ and march/ in a cooperative way on that road which is/ bound to lead us to unity//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="9hq7uruqijIC.1.4750712634343424" type="radio" />Our difficulty is/ how to make/ the heterogeneous mass/ that we have today/ take a decision/ in common/ and march in a cooperative way/ on that road/ which is bound to lead us to unity//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.1.4750712634343424" type="radio" />Our difficulty is/ how to/ make the heterogeneous mass/ that/ we have today/ take a decision/ in common and/ march in a cooperative way on that road/ which is bound to lead us to unity//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">3-Our difficulty is not with regard to the ultimate our difficulty is with regard to the beginning</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.2.6732646432374784" type="radio" />Our difficulty/ is not/ with regard to the ultimate/ our difficulty/ is with regard to the beginning//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.2.6732646432374784" type="radio" />Our difficulty is/ not with regard to/ the ultimate our difficulty/ is with regard to the beginning//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="9hq7uruqijIC.2.6732646432374784" type="radio" />Our difficulty is not with regard to the ultimate/ our difficulty is with regard to the beginning//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">4-Mr. Chairman therefore I should have thought that in order to make a start in order to induce every party every section in this country it would be the act of greatest statesmanship for the majority party even to make a concession to the prejudices of people who are not prepared to march together and it is for that that I propose to make this appeal</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.3.5187714240479232" type="radio" />Mr. Chairman/ therefore I should have thought that/ in order to make/ a start in order to induce/ every party every section/ in this country it would be/ the act of greatest statesmanship for the majority party/ even to make a concession/ to the prejudices of people who are not prepared to march together and it is for that that I propose to make this appeal//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="9hq7uruqijIC.3.5187714240479232" type="radio" />Mr. Chairman therefore/ I should have thought/ that in order to make a start/ in order to induce/ every/ party/ every section/ in this country/ it would be the act of greatest statesmanship/ for the majority party/ even to make a concession to the prejudices/ of people who are not prepared to march together/ and it is for that/ that I propose to make this appeal//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.3.5187714240479232" type="radio" />Mr. Chairman therefore/ I should have thought that/ in order to make a start/ in order to induce/ every party/ every section/ in this country/ it would be the act of greatest statesmanship/ for the majority party/ even to make a concession to the prejudices/ of people who are not prepared to march together and/ it is for that that I propose to make this appeal//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">5-Let us leave aside slogans let us leave aside words which frighten people</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.4.4533623176822784" type="radio" />Let us leave/ aside slogans/ let us leave/ aside words which frighten people//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="9hq7uruqijIC.4.4533623176822784" type="radio" />Let us leave aside slogans/ let us leave/ aside words which frighten people//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="9hq7uruqijIC.4.4533623176822784" type="radio" />Let us leave aside slogans/ let us leave aside words which frighten people//</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">6-Mark the appropriate response.<br /> Deepthi is not here. Could you please ______.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.0.5347168206454784" type="radio" />Speak up</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.0.5347168206454784" type="radio" />Hang up</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.0.5347168206454784" type="radio" />Hang on</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="eU4X9R2QhmI9.0.5347168206454784" type="radio" />Ring her later</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">7-When someone says “<i>Your voice is echoing</i>” it becomes evident the voice is resurfacing and hence the tele-conversation is not clear.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="eU4X9R2QhmI9.1.5755284689518592" type="radio" />True</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.1.5755284689518592" type="radio" />False</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">8-The phrase ‘<i>speak up</i>’ means to tone down the voice.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.2.4769852359180288" type="radio" />True</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="eU4X9R2QhmI9.2.4769852359180288" type="radio" />False</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">9-Geetha, while speaking to Mary (on the phone) hears vibrating noise. Choose the best appropriate sentence that Geeta should use to convey the problem.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.3.6599439707799552" type="radio" />Your voice is echoing.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="eU4X9R2QhmI9.3.6599439707799552" type="radio" />Your voice is jarring.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.3.6599439707799552" type="radio" />You have to speak up.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.3.6599439707799552" type="radio" />You are not audible.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">10-The phrase <i>‘pick up’</i> (in the context of a telephonic conversation) means to answer the call.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="eU4X9R2QhmI9.4.5987188294549504" type="radio" />True</span></p><p> </p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: Roboto; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="eU4X9R2QhmI9.4.5987188294549504" type="radio" />False</span></p>						</div>
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		<title>Maths Week 4 Graded Assignments IIT Madras</title>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 14:02:40 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
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		<category><![CDATA[Maths Week 4 Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Week 4 Graded Assignments]]></category>
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					<description><![CDATA[Maths week 4 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments  There are some questions which have functions with discrete valued domains (such as day, month, year etc). For simplicity, we treat&#8230;&#160;<a href="/maths-week-4-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">Maths Week 4 Graded Assignments IIT Madras</span></a>]]></description>
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							<p><em style="font-family: 'Trebuchet MS', sans-serif;">Maths week 4 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments </em></p>						</div>
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							<p><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;">There are some questions which have functions with discrete valued domains (such as day, month, year etc). For simplicity, we treat them as continuous functions.</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;">For NAT type question, enter only one right answer, even if you get multiple answers for that particular question.</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;">Notations:</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span class="inline-equation" style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"> = Set of real numbers </span><span class="inline-equation" style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">Q</span></span></span></span></span><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"> = Set of rational numbers</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span class="inline-equation" style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">Z</span></span></span></span></span><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"> = Set of integers</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span class="inline-equation" style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">N</span></span></span></span></span><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"> = Set of natural numbers</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;">The set of natural numbers includes 0.</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /></p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div style="margin: 0px; padding: 0px;"><div id="1NVlFvwOJq3M" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="1NVlFvwOJq3M.0.4770888452931584" class="qt-mc-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><ol><li><strong>Let <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�:�→�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">:</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">→</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�:�→�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">g</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">:</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">→</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span> be two functions, defined as <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=�3−8�2+7</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">8</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">7</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=−2�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">g</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> respectively. Choose the correct option(s) from the following.</strong></li></ol><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="1NVlFvwOJq3M.0.4770888452931584.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="1NVlFvwOJq3M.0.4770888452931584" type="checkbox" data-index="0" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="1NVlFvwOJq3M.0.4770888452931584.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="1NVlFvwOJq3M.0.4770888452931584.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">g</span></span></span></span></span> has two turning points and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�−</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span></span></span></span>coordinate of only one turning point is negative.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="1NVlFvwOJq3M.0.4770888452931584.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="1NVlFvwOJq3M.0.4770888452931584" type="checkbox" data-index="1" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="1NVlFvwOJq3M.0.4770888452931584.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="1NVlFvwOJq3M.0.4770888452931584.1"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">g</span></span></span></span></span> has two turning points and there are no turning points with positive <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�−</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span></span></span></span> coordinate.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="1NVlFvwOJq3M.0.4770888452931584.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="1NVlFvwOJq3M.0.4770888452931584" type="checkbox" data-index="2" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="1NVlFvwOJq3M.0.4770888452931584.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="1NVlFvwOJq3M.0.4770888452931584.2"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span></span></span></span></span> is strictly increasing in <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">[10,∞)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">[</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">10</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">∞</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="1NVlFvwOJq3M.0.4770888452931584.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="1NVlFvwOJq3M.0.4770888452931584" type="checkbox" data-index="3" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="1NVlFvwOJq3M.0.4770888452931584.3"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="1NVlFvwOJq3M.0.4770888452931584.3"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span></span></span></span></span> is strictly decreasing in <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">[10,∞)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">[</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">10</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">∞</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="1NVlFvwOJq3M.0.4770888452931584.0"><label style="margin: 0px; padding: 0px;" for="1NVlFvwOJq3M.0.4770888452931584.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">g</span></span></span></span></span> has two turning points and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�−</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span></span></span></span>coordinate of only one turning point is negative.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="1NVlFvwOJq3M.0.4770888452931584.2"><label style="margin: 0px; padding: 0px;" for="1NVlFvwOJq3M.0.4770888452931584.2"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span></span></span></span></span> is strictly increasing in <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">[10,∞)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">[</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">10</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">∞</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="YSznsaSTFF93" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="YSznsaSTFF93.0.6021461005303808" class="qt-mc-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><strong>2. Which among the following function first increases and then decreases in all the intervals <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(−4,−3) and (−1,2) and (5,6)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mspace nobreak" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;"> </span><span class="mord text" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">and</span></span><span class="mspace nobreak" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;"> </span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mspace nobreak" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;"> </span><span class="mord text" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">and</span></span><span class="mspace nobreak" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;"> </span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>?</strong></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="YSznsaSTFF93.0.6021461005303808.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="YSznsaSTFF93.0.6021461005303808" type="checkbox" data-index="0" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="YSznsaSTFF93.0.6021461005303808.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="YSznsaSTFF93.0.6021461005303808.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">110000(�+1)2(�−2)(�+3)2(�+4)(�−5)(�−6)2</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">10000</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="YSznsaSTFF93.0.6021461005303808.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="YSznsaSTFF93.0.6021461005303808" type="checkbox" data-index="1" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="YSznsaSTFF93.0.6021461005303808.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="YSznsaSTFF93.0.6021461005303808.1"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">110000(�+1)2(�−2)(�+3)(�+4)(�−5)2(�−6)2</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">10000</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="YSznsaSTFF93.0.6021461005303808.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="YSznsaSTFF93.0.6021461005303808" type="checkbox" data-index="2" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="YSznsaSTFF93.0.6021461005303808.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="YSznsaSTFF93.0.6021461005303808.2"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">−110000(�+1)2(�−2)(�+3)2(�+4)2(5−�)(�−6)2</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">10000</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="YSznsaSTFF93.0.6021461005303808.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="YSznsaSTFF93.0.6021461005303808" type="checkbox" data-index="3" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="YSznsaSTFF93.0.6021461005303808.3"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="YSznsaSTFF93.0.6021461005303808.3"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">110000(�+1)2(�−2)(�+3)(�+4)(�−5)2(�−6)2(�+7)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">10000</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">7</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="YSznsaSTFF93.0.6021461005303808.0"><label style="margin: 0px; padding: 0px;" for="YSznsaSTFF93.0.6021461005303808.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">110000(�+1)2(�−2)(�+3)2(�+4)(�−5)(�−6)2</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">10000</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="YSznsaSTFF93.0.6021461005303808.2"><label style="margin: 0px; padding: 0px;" for="YSznsaSTFF93.0.6021461005303808.2"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">−110000(�+1)2(�−2)(�+3)2(�+4)2(5−�)(�−6)2</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">10000</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="yvwTfwDz9M24" class="qt-mc-question qt-standalone" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;">3. Which of the following is/are correct ?<br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" />            <img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle; width: 400px; height: 300px;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_ma1001/assets/img/M1_W4_1.png" alt="" /><br style="margin: 0px; padding: 0px;" />                                                          Fig &#8211; 1<br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" />             <br style="margin: 0px; padding: 0px;" />             <img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle; width: 400px; height: 300px;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_ma1001/assets/img/M1_W4_2.PNG" alt="" /><br style="margin: 0px; padding: 0px;" />                                                        Fig &#8211; 2<br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" /></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="yvwTfwDz9M24.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="yvwTfwDz9M24" type="checkbox" data-index="0" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.0">Fig &#8211; 1 and Fig &#8211; 2 are polynomials of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="yvwTfwDz9M24.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="yvwTfwDz9M24" type="checkbox" data-index="1" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.1">The polynomial of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span> that represents the Fig &#8211; 1 have minimum 6 Zeros</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="yvwTfwDz9M24.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="yvwTfwDz9M24" type="checkbox" data-index="2" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.2">The polynomial of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span> that represent the Fig &#8211; 2 have minimum 3 Zeros</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="yvwTfwDz9M24.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="yvwTfwDz9M24" type="checkbox" data-index="3" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.3"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.3">Fig &#8211; 2 represents the function of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="yvwTfwDz9M24.4" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="yvwTfwDz9M24" type="checkbox" data-index="4" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.4"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.4">Fig &#8211; 2 is not a polynomial of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="yvwTfwDz9M24.5" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="yvwTfwDz9M24" type="checkbox" data-index="5" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.5"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="yvwTfwDz9M24.5">The polynomial of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span> that represents the Fig &#8211; 1 have 3 distinct Zeros</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"> </h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="yvwTfwDz9M24.1"><label style="margin: 0px; padding: 0px;" for="yvwTfwDz9M24.1">The polynomial of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span> that represents the Fig &#8211; 1 have minimum 6 Zeros</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="yvwTfwDz9M24.4"><label style="margin: 0px; padding: 0px;" for="yvwTfwDz9M24.4">Fig &#8211; 2 is not a polynomial of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="yvwTfwDz9M24.5"><label style="margin: 0px; padding: 0px;" for="yvwTfwDz9M24.5">The polynomial of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span> that represents the Fig &#8211; 1 have 3 distinct Zeros</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="3UgNGLiKleWE" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="3UgNGLiKleWE.0.4516194354724864" class="qt-mc-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><strong>4. Consider a polynomial function <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=−(�2−16)(�−3)2(2−�)2(�+9)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">p</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;"><span class="delimsizing size1" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Size1;">(</span></span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">16</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;"><span class="delimsizing size1" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Size1;">)</span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">9</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span></span></span></span></span>. Choose the set of correct options.</strong></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="3UgNGLiKleWE.0.4516194354724864.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="3UgNGLiKleWE.0.4516194354724864" type="checkbox" data-index="0" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="3UgNGLiKleWE.0.4516194354724864.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="3UgNGLiKleWE.0.4516194354724864.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">p</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> first increases then decreases in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2,3)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="3UgNGLiKleWE.0.4516194354724864.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="3UgNGLiKleWE.0.4516194354724864" type="checkbox" data-index="1" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="3UgNGLiKleWE.0.4516194354724864.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="3UgNGLiKleWE.0.4516194354724864.1"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">p</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> is strictly increasing when <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�∈(−∞,−9)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">∈</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">∞</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">9</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="3UgNGLiKleWE.0.4516194354724864.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="3UgNGLiKleWE.0.4516194354724864" type="checkbox" data-index="2" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="3UgNGLiKleWE.0.4516194354724864.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="3UgNGLiKleWE.0.4516194354724864.2">There are exactly 6 points on <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">p</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> where the slope of the tangent is 0.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="3UgNGLiKleWE.0.4516194354724864.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="3UgNGLiKleWE.0.4516194354724864" type="checkbox" data-index="3" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="3UgNGLiKleWE.0.4516194354724864.3"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="3UgNGLiKleWE.0.4516194354724864.3">Total number of turning points of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">p</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> are 7.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"> </h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="3UgNGLiKleWE.0.4516194354724864.0"><label style="margin: 0px; padding: 0px;" for="3UgNGLiKleWE.0.4516194354724864.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">p</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> first increases then decreases in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2,3)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="3UgNGLiKleWE.0.4516194354724864.2"><label style="margin: 0px; padding: 0px;" for="3UgNGLiKleWE.0.4516194354724864.2">There are exactly 6 points on <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">p</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> where the slope of the tangent is 0.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="mQc50lw2gncg" class="qt-mc-question qt-standalone" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><strong>5. The height of a roller coaster at a given time is modeled by the polynomial function <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">ℎ(�)=(−0.01�3+0.35�2−3.5�+10)(�+5)2(�−5)(�+1)(2−�)3</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">h</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0.01</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0.35</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3.5</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">10</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span></span></span></span></span></span></span></span></span></span></span></span>, where t represents time in seconds. Find the turning point(s) of the height function.</strong></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="mQc50lw2gncg.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="mQc50lw2gncg" type="radio" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="mQc50lw2gncg.0">6</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="mQc50lw2gncg.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="mQc50lw2gncg" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="mQc50lw2gncg.1">7</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="mQc50lw2gncg.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="mQc50lw2gncg" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="mQc50lw2gncg.2">5</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="mQc50lw2gncg.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="mQc50lw2gncg" type="radio" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="mQc50lw2gncg.3">8</label></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><label style="margin: 0px; padding: 0px;" for="mQc50lw2gncg.1">7</label></div></div></div></div></div></div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="qcqiEOWvDw9a" class="qt-mc-question qt-standalone" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><strong>6. Choose the correct options based on the data given in 5th question. </strong></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="qcqiEOWvDw9a.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="qcqiEOWvDw9a" type="checkbox" data-index="0" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="qcqiEOWvDw9a.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="qcqiEOWvDw9a.0">The roller coaster will first go up and then go down in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(−5,−1)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="qcqiEOWvDw9a.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="qcqiEOWvDw9a" type="checkbox" data-index="1" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="qcqiEOWvDw9a.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="qcqiEOWvDw9a.1">The roller coaster will first go down and then go up in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(10,20)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">10</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">20</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="qcqiEOWvDw9a.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="qcqiEOWvDw9a" type="checkbox" data-index="2" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="qcqiEOWvDw9a.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="qcqiEOWvDw9a.2">The roller coaster will first go up and then go down in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(−1,−2)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="qcqiEOWvDw9a.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="qcqiEOWvDw9a" type="checkbox" data-index="3" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="qcqiEOWvDw9a.3"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="qcqiEOWvDw9a.3">The roller coaster will first go up and then go down in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2,5)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="qcqiEOWvDw9a.0"><label style="margin: 0px; padding: 0px;" for="qcqiEOWvDw9a.0">The roller coaster will first go up and then go down in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(−5,−1)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="qcqiEOWvDw9a.1"><label style="margin: 0px; padding: 0px;" for="qcqiEOWvDw9a.1">The roller coaster will first go down and then go up in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(10,20)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">10</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">20</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="qcqiEOWvDw9a.3"><label style="margin: 0px; padding: 0px;" for="qcqiEOWvDw9a.3">The roller coaster will first go up and then go down in the interval <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2,5)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="zcu9vaDBShje" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="zcu9vaDBShje.0.6707925464645632" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><strong>7. An ant named <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.05017em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">B</span></span></span></span></span>, wants to climb an uneven cliff and reach its anthill (i.e., home of ant). On its way home, <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.05017em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">B</span></span></span></span></span> makes sure that it collects some food. A group of ants have reached the food locations which are at <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�−</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span></span></span></span>intercepts of the function <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=(�2−20)((�−7)3−1)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;"><span class="delimsizing size1" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Size1;">(</span></span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">20</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;"><span class="delimsizing size1" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Size1;">)</span></span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;"><span class="delimsizing size2" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Size2;">(</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">7</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span></span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;"><span class="delimsizing size2" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Size2;">)</span></span></span></span></span></span></span>. As ants secrete pheromones (a form of signals which other ants can detect and reach the food location), <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.05017em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">B</span></span></span></span></span> gets to know the food location. Then the sum of the <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span>-coordinates of all the food locations is</strong></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 8</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="MPghUBvthib7" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="MPghUBvthib7.0.6056309384282112" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><strong>8. The Ministry of Road Transport and Highways wants to connect three aspirational districts with two roads <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�1</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">r</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.301108em;"><span class="" style="margin: 0px 0.05em 0px -0.02778em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�2</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">r</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.301108em;"><span class="" style="margin: 0px 0.05em 0px -0.02778em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span></span></span></span>. Two roads are connected if they intersect. The shape of the two roads <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�1</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">r</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.301108em;"><span class="" style="margin: 0px 0.05em 0px -0.02778em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�2</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">r</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.301108em;"><span class="" style="margin: 0px 0.05em 0px -0.02778em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span></span></span></span> follows polynomial curve <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=(�−19)(�−17)2</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">19</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">17</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.954008em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.2029em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span></span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=−(�−19)(�−17)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">g</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">19</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span><span class="minner" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mopen delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">17</span><span class="mclose delimcenter" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; top: 0em;">)</span></span></span></span></span></span> respectively. What will be the <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�−</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span></span></span></span>coordinate of the third aspirational district, if the first two are at <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�−</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span></span></span></span>intercepts of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">g</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</strong></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">No, the answer is incorrect.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">Score: 0</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 16</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="cAOcZqQjj6EY" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;">A company is manufacturing custom-made boxes with a volume represented by the polynomial <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=4�3+16�2+17�+5</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.22222em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">V</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">16</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">17</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span></span></span></span></span>. If the length of each box is represented by the polynomial <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=�+1</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">L</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span>, given that width and height of the box are <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">W</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">ℎ(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">h</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> respectively. Also given that for all <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�&gt;0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">&gt;</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span>, <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">ℎ(�)&gt;�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">h</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">&gt;</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">W</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>, the Degree of polynomials <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">ℎ(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">h</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">W</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> is 1.<br style="margin: 0px; padding: 0px;" />Use this information to answer the following questions 9 and 10</div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="cAOcZqQjj6EY.0.6642649054314496" class="qt-mc-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><strong>9. Polynomial expression which represents width of the box <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">W</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></strong></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="cAOcZqQjj6EY.0.6642649054314496.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="cAOcZqQjj6EY.0.6642649054314496" type="radio" data-index="0" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.0.6642649054314496.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.0.6642649054314496.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2�+1)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="cAOcZqQjj6EY.0.6642649054314496.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="cAOcZqQjj6EY.0.6642649054314496" type="radio" data-index="1" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.0.6642649054314496.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.0.6642649054314496.1"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2�+5)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="cAOcZqQjj6EY.0.6642649054314496.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="cAOcZqQjj6EY.0.6642649054314496" type="radio" data-index="2" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.0.6642649054314496.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.0.6642649054314496.2"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(4�2+12�+5)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">12</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="cAOcZqQjj6EY.0.6642649054314496.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="cAOcZqQjj6EY.0.6642649054314496" type="radio" data-index="3" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.0.6642649054314496.3"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.0.6642649054314496.3"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(3�+4)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="cAOcZqQjj6EY.0.6642649054314496.0"><label style="margin: 0px; padding: 0px;" for="cAOcZqQjj6EY.0.6642649054314496.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2�+1)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="cAOcZqQjj6EY.1.6294936689311744" class="qt-mc-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><strong>10. Polynomial expression which represents area of the base.</strong></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="cAOcZqQjj6EY.1.6294936689311744.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="cAOcZqQjj6EY.1.6294936689311744" type="radio" data-index="0" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.1.6294936689311744.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.1.6294936689311744.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(4�2+12�+3)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">12</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="cAOcZqQjj6EY.1.6294936689311744.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="cAOcZqQjj6EY.1.6294936689311744" type="radio" data-index="1" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.1.6294936689311744.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.1.6294936689311744.1"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(4�2+12�+5)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">12</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="cAOcZqQjj6EY.1.6294936689311744.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="cAOcZqQjj6EY.1.6294936689311744" type="radio" data-index="2" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.1.6294936689311744.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.1.6294936689311744.2"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2�2+6�+5)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><p><input id="cAOcZqQjj6EY.1.6294936689311744.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="cAOcZqQjj6EY.1.6294936689311744" type="radio" data-index="3" /></p><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.1.6294936689311744.3"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="cAOcZqQjj6EY.1.6294936689311744.3"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2�2+3�+1)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><label style="margin: 0px; padding: 0px;" for="cAOcZqQjj6EY.1.6294936689311744.3"><label style="margin: 0px; padding: 0px;" for="cAOcZqQjj6EY.1.6294936689311744.3"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2�2+3�+1)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label></p><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="UI9Wh3yOLFDK" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;">A telecommunications company observes that the number of monthly subscribers (S) for its internet service can be modeled by the polynomial function <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=�3−2�2−24�+5000</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.05764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">S</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">24</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5000</span></span></span></span></span>, where t represents the number of months since the service was launched.<br style="margin: 0px; padding: 0px;" />Use this information to answer the following questions 11 and 12.</div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="UI9Wh3yOLFDK.0.5721454888878080" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><p><strong>11. The company aims to reach a milestone of 5000 subscribers. How many months will it take to achieve this goal based on the polynomial function? (Note: <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�&gt;0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">&gt;</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span>)</strong></p><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 6</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="UI9Wh3yOLFDK.1.6307977367650304" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><strong>12. Number of actual subscribers after one year; given that the polynomial function over estimates the actual subscribers by 60%</strong></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">No, the answer is incorrect.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">Score: 0</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 3845</div></div></div></div></div></div></div></div>						</div>
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		<title>Statistics Week 3 Graded Assignments IIT Madras</title>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 13:42:45 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Statistics Week 3 Graded Assignments IIT Madras]]></category>
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					<description><![CDATA[Statistics week 3 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments  1) The numbers 1, 5, 12,16 have frequencies X + 6, X + 2, X &#8211; 3 and Xrespectively. If their&#8230;&#160;<a href="/statistics-week-3-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">Statistics Week 3 Graded Assignments IIT Madras</span></a>]]></description>
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							<p><em>Statistics week 3 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments </em></p>						</div>
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							<p>1) The numbers 1, 5, 12,16 have frequencies X + 6, X + 2, X &#8211; 3 and Xrespectively. If their mean is 5.3, find the value of X. (Enter the value as next highest<br />integer)<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">(Type: Numeric) 4</span></p><p><br />2) The mean and sample standard deviation of the dataset consisting of 7 observations is 19 and 8 respectively. Later it is noted that one observation 17 is<br />wrongly noted as 14. What is the mean of the original dataset? (Correct to 2 decimal place accuracy)<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">(Type: Range) 19.13,19.73</span></p><p><br />3) The mean and sample standard deviation of the dataset consisting of 7 observations is 19 and 8 respectively. Later it is noted that one observation 17 is<br />wrongly noted as 14. What is the sample variance of the original dataset? (Correct to 2 decimal place accuracy)<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">(Type: Range) 59.99,60.59</span></p><p><br />4) Let the data 32, 65, 98, 71, 56,40, 55, 60, 65 represent the retail prices in rupees of a certain commodity in 9 randomly selected shops in a particular city. What<br />will be the sample variance of the retail prices, if 3 rupees is added to all the retail prices. (Correct to 2 decimal place accurac<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">(Type: Range) 354.64,355.24</span></p><p><br />5) Suppose, we have 6 observations such that 37, 30, 28, 37, 82,112.Calculate 10th, 50th and 100th percentiles?<br />28, 38.0, 112<br />29, 38.0, 112<br />28, 37.0, 112<br />28, 36.0, 112<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">28, 37.0, 112</span></p><p><br />6) Suppose, we have 6 observations such that 45, 42, 28, 23, 95,119. Calculate the Inter Quartile Range (IQR) of the data.<br />96<br />67<br />95<br />68<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">67</span></p><p><br />7) Suppose, we have 6 observations such that 45, 42, 28, 23, 95, 119. How many outliers are there?<br />0<br />4<br />1<br />3<br />2<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">0</span></p><p><br />8) In a deck, there are cards numbered 1 to 44 such that the number of cards of a particular number in the deck is same as the number on the card. Which of 1 point<br />the following statement(s) is/are true about the mean and mode of the numbers on this deck of card?<br />Mode is not defined for this data.</p><p>Mean is 22.5.<br />Mode is 44.<br />Mode is 43.<br />Mean is 44.<br />Mean is 29.67.<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">Mode is 44.</span><br /><span style="color: #ff6600;">Mean is 29.67.</span></p><p> </p><p>9) Figure 3.1 .G shows a stem and leaf plot of the ratings (out of 100) of an actor&#8217;s performance in different movies.</p><p>What is the Inter Quartile Range (IQR)? (Correct to 1 decimal point accuracy.)<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">(Type: Range) 35.7,36.3</span></p><p> </p><p>10) Figure 3.1.G shows a stem and leaf plot of the ratings (out of 100) of an actor&#8217;s performance in different movies.<br />What is the median rating, if 2 points are added to all of his ratings and then converted to 30 points. (Correct up to 2 decimal point accuracy.)<br /><span style="color: #ff6600;">Accepted Answers:</span><br /><span style="color: #ff6600;">(Type: Range) 24.3,24.90</span></p>						</div>
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		<title>CT Week 3 Graded Assignments IIT Madras</title>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 13:13:12 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[A captures the number of male students who have scored above subject average in at least two subjects. Assume that the variables M]]></category>
		<category><![CDATA[Assignments IIT Madras]]></category>
		<category><![CDATA[CT Week 3 Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
		<category><![CDATA[P and C hold the average marks of the subjects Mathematics]]></category>
		<category><![CDATA[Physics and Chemistry respectively. Choose the correct code fragment to complete the pseudocode.]]></category>
		<category><![CDATA[The following pseudocode is executed using the "Scores" dataset. At the end of the execution]]></category>
		<category><![CDATA[The following pseudocode is executed using the "Words" dataset. Let avg be a variable that stores the average letter count of all words in the dataset.]]></category>
		<category><![CDATA[The following pseudocode is executed using the “Olympics” dataset. Assume that the dataset has only one row corresponding to each player.]]></category>
		<category><![CDATA[The following pseudocode is executed using the “Scores” dataset. When will C be True?]]></category>
		<category><![CDATA[The following pseudocode is executed using the “Shopping Bills” dataset. Procedure countBills accepts a card Y and a pile of cards Pile 1 from the "Shopping Bills" dataset and returns True]]></category>
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		<category><![CDATA[What will B represent at the end of execution?]]></category>
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					<description><![CDATA[Computational Thinking week 3 graded assignment Complete  Solutions Are Discussed In This Blog. We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons If Not Able To Complete Graded Assignments  1-What will A represent at the end of the execution? Number of players who have won medal in the Year either&#8230;&#160;<a href="/ct-week-3-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">CT Week 3 Graded Assignments IIT Madras</span></a>]]></description>
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							<p><em>Computational Thinking week 3 graded assignment Complete  Solutions Are Discussed In This Blog. We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons If Not Able To Complete Graded Assignments </em></p>						</div>
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							<p><br /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23q2_cs1001/assets/img/W3gaq1,2.png?seed=27824&amp;url=assets/img/W3gaq1,2.png" alt="" /></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">1-What will <b>A </b>represent at the end<br />of the execution?</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.0.5589408199737344" type="radio" />Number of players who have won medal in the Year either after 2005 or before 2008</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="An5ibJ3qUlrs.0.5589408199737344" type="radio" />Number of players who have won medal in the Year either before 2005 or after 2008</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.0.5589408199737344" type="radio" />Number of players who have won the medal in &#8220;Wrestling&#8221; in the Year 2005,<br />2006 and 2007.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.0.5589408199737344" type="radio" />Number of players other than wrestlers who have won medal in the Year either after<br />2005 or before 2008</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">2. What will <b>B </b>represent at the end of execution?</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="An5ibJ3qUlrs.1.4722876703834112" type="radio" />Number of players who have won the medal in &#8220;Wrestling&#8221; the Year either<br />after 2005 or before 2008</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.1.4722876703834112" type="radio" />Number of players who have won the medal in &#8220;Wrestling&#8221; between 2005 and<br />2007 (end points are included)</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.1.4722876703834112" type="radio" />Number of players who have won the medal in any other Sport except<br />&#8220;Wrestling&#8221; in the Year 2005 to 2008</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.1.4722876703834112" type="radio" />Number of players who have won the medal in &#8220;Wrestling&#8221; in the Year either<br />before 2005 or after 2008</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">3. The following pseudocode is executed using the<br />“Scores” dataset. When will <b>C </b>be True?<br /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq3.png?seed=52030&amp;url=assets/img/W3gaq3.png" alt="" /><br /></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="An5ibJ3qUlrs.2.6693441119453184" type="radio" />If there exist less female students than male students from Erode</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.2.6693441119453184" type="radio" />If there exist more female students than students from Erode</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.2.6693441119453184" type="radio" />If there exist less Erode students than female students</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.2.6693441119453184" type="radio" />If there exist more female students than male students</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">4. The following pseudocode is executed using the<br />&#8220;Scores&#8221; dataset. What will <b>A </b>represent at the end<br />of the execution?<br /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq4.png?seed=42049&amp;url=assets/img/W3gaq4.png" alt="" /><br /><!-- [if !supportLineBreakNewLine]--><br /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.3.4995356328722432" type="radio" />Number of students who have scored more than 90 marks in all subjects</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.3.4995356328722432" type="radio" />Number of students who have scored less than 90 marks in exactly one subject</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="An5ibJ3qUlrs.3.4995356328722432" type="radio" />Number of students who have scored less than 90 marks in all subjects</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.3.4995356328722432" type="radio" />Number of students who have scored at least 90 marks in all subjects</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">5. The following pseudocode is executed using the<br />“Shopping Bills” dataset. Procedure <b>countBills </b>accepts a<br />card <b>Y </b>and a pile of cards <b>Pile 1</b> from the<br />&#8220;Shopping Bills&#8221; dataset and returns True, if the <i>TotalBillAmount </i>of<br />the card <b>Y </b>is greater than the average <i>TotalBillAmount </i>of<br />shop from where the card <b>Y </b>is generated otherwise returns<br />False. The pseudocode may have mistakes. Identify all such mistakes (if any).<br />Assume that all statements not listed in the options below are free of errors.<br />It is a Multiple Select Question (MSQ).<br /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq5.png?seed=18588&amp;url=assets/img/W3gaq5.png" alt="" />  </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.4.6402731212275712" type="checkbox" />Line 2 : Initialization of <b>avg </b>to 0 is incorrect</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="An5ibJ3qUlrs.4.6402731212275712" type="checkbox" />Line 2 : Initialization of <b>count </b>to 1 is incorrect</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="An5ibJ3qUlrs.4.6402731212275712" type="checkbox" />Line 5 : The condition to update <b>amount </b>is incorrect</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="An5ibJ3qUlrs.4.6402731212275712" type="checkbox" />Line 12 : Condition checking statement is incorrect.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 6.0pt; line-height: normal; background: #FAFAFC;"><span style="font-size: 12.0pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">6. The following pseudocode is<br />executed using the &#8220;Words&#8221; dataset. Let <b>avg </b>be a<br />variable that stores the average letter count of all words in the<br />dataset. <br /><br /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23q2_cs1001/assets/img/W3gaq6,7.png?seed=34843&amp;url=assets/img/W3gaq6,7.png" alt="" /><br /><!--[endif]--></span></p><p class="MsoNormal" style="margin-bottom: 0cm; text-align: right; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;" align="right"><b><i><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">40 points</span></i></b><b></b></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">What will <b>A </b>represent at the end<br />of the execution ?</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.0.6715308106579968" type="radio" />Number of words which are pronouns and number of words with letter count greater than<br />the average letter count</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.0.6715308106579968" type="radio" />Number of words which are not pronouns and number of words with letter count less than<br />the average letter count</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="Q0UoPEe365XL.0.6715308106579968" type="radio" />Number of words which are not pronouns and number of words with letter count less than<br />or equal to average letter count</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.0.6715308106579968" type="radio" />Number of words which are pronouns and number of words with letter count equal to the<br />average letter count</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">7. Suppose the condition to modify <b>A </b>is<br />changed as given below. What will <b>A </b>represent at the end of<br />the execution ?<br /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq7.png?seed=63849&amp;url=assets/img/W3gaq7.png" alt="" /><br /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.1.4577114443481088" type="radio" />Number of words which are pronouns and number of words with letter count greater than<br />the average letter count</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.1.4577114443481088" type="radio" />Number of words which are pronouns and number of words with letter count less than the<br />average letter count</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.1.4577114443481088" type="radio" />Number of words that are either pronoun or have letter count less than the average<br />letter count but not both</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="Q0UoPEe365XL.1.4577114443481088" type="radio" />Number of words that are either pronouns or have letter count greater than the average<br />letter count but not both</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">8. The following pseudocode is executed using the<br />&#8220;Scores&#8221; dataset. At the end of the execution, <b>A </b>captures<br />the number of male students who have scored above subject average in at least<br />two subjects. Assume that the variables <b>M, P</b> and <b>C </b>hold<br />the average marks of the subjects Mathematics, Physics and Chemistry<br />respectively. Choose the correct code fragment to complete the pseudocode.<br /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq8.png?seed=28821&amp;url=assets/img/W3gaq8.png" alt="" /><br /><!-- [if !supportLineBreakNewLine]--><br /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.2.6152358153158656" type="radio" /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq8a.png?seed=23818&amp;url=assets/img/W3gaq8a.png" alt="" /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.2.6152358153158656" type="radio" /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq8b.png?seed=38097&amp;url=assets/img/W3gaq8b.png" alt="" /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.2.6152358153158656" type="radio" /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq8c.png?seed=38605&amp;url=assets/img/W3gaq8c.png" alt="" /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="Q0UoPEe365XL.2.6152358153158656" type="radio" /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq8d.png?seed=56764&amp;url=assets/img/W3gaq8d.png" alt="" /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">9-The following pseudocode is executed using the<br />“Shopping bills” dataset. <b>A </b>stores the number of bills from SV<br />Stores with <i>TotalBillAmount </i>less than the average <i>TotalBillAmount </i>of<br />Big Bazaar and <b>B </b>stores number of bills from Big Bazaar with<br />total bill amount greater than the average total bill amount of SV Stores at<br />the end of the execution. Choose the correct code fragment(s) to complete the<br />pseudocode. <br /><br /><!-- [if !supportLineBreakNewLine]--><br /><!--[endif]--></span></p><p><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq9.png?seed=49476&amp;url=assets/img/W3gaq9.png" alt="" /></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="Q0UoPEe365XL.3.6555702726230016" type="radio" /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_cs1001/assets/img/W3gaq9a.png?seed=2367&amp;url=assets/img/W3gaq9a.png" alt="" /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.3.6555702726230016" type="radio" /><!-- [if gte vml 1]><v:shape id="Picture_x0020_13" o:spid="_x0000_i1068" type="#_x0000_t75" style='width:420.6pt;height:122.4pt; visibility:visible;mso-wrap-style:square'><br />
 <v:imagedata src="file:///C:/Users/AmritKr/AppData/Local/Temp/msohtmlclip1/01/clip_image020.png" o:title=""/><br />
</v:shape><![endif]--><!-- [if !vml]--><img decoding="async" loading="lazy" src="file:///C:/Users/AmritKr/AppData/Local/Temp/msohtmlclip1/01/clip_image020.png" width="561" height="163" /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.3.6555702726230016" type="radio" /><!-- [if gte vml 1]><v:shape id="Picture_x0020_12" o:spid="_x0000_i1067" type="#_x0000_t75" style='width:422.4pt;height:119.4pt; visibility:visible;mso-wrap-style:square'><br />
 <v:imagedata src="file:///C:/Users/AmritKr/AppData/Local/Temp/msohtmlclip1/01/clip_image021.png" o:title=""/><br />
</v:shape><![endif]--><!-- [if !vml]--><img decoding="async" loading="lazy" src="file:///C:/Users/AmritKr/AppData/Local/Temp/msohtmlclip1/01/clip_image021.png" width="563" height="159" /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.3.6555702726230016" type="radio" /><!-- [if gte vml 1]><v:shape id="Picture_x0020_11" o:spid="_x0000_i1066" type="#_x0000_t75" style='width:405.6pt;height:119.4pt; visibility:visible;mso-wrap-style:square'><br />
 <v:imagedata src="file:///C:/Users/AmritKr/AppData/Local/Temp/msohtmlclip1/01/clip_image022.png" o:title=""/><br />
</v:shape><![endif]--><!-- [if !vml]--><img decoding="async" loading="lazy" src="file:///C:/Users/AmritKr/AppData/Local/Temp/msohtmlclip1/01/clip_image022.png" width="541" height="159" /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">10-The following pseudocode is executed using the<br />“Words” dataset. What will <b>A </b>represent at the end of the<br />execution?<br /><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23q2_cs1001/assets/img/W3gaq10.png?seed=32000&amp;url=assets/img/W3gaq10.png" alt="" /><br /><!-- [if !supportLineBreakNewLine]--><br /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.4.5005282446934016" type="radio" />Number of sentences with average letter count more than the average letter count of<br />verbs in the dataset</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="Q0UoPEe365XL.4.5005282446934016" type="radio" />Number of sentences with average letter count less than the average letter count of<br />verbs in the dataset</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.4.5005282446934016" type="radio" />Number of words with average letter count more than the average letter count of verbs<br />in the dataset</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="Q0UoPEe365XL.4.5005282446934016" type="radio" />Number of words with average letter count less than the average letter count of verbs<br />in the dataset</span></p>						</div>
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		<title>English Week 3 Graded Assignments IIT Madras</title>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 12:50:00 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[but I’m not sure.]]></category>
		<category><![CDATA[Choose an appropriate prefix that gives the antonym of ‘apologetic’.]]></category>
		<category><![CDATA[Choose the appropriate option.]]></category>
		<category><![CDATA[English Week 3 Graded Assignments]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
		<category><![CDATA[I think I ________ have failed the exam]]></category>
		<category><![CDATA[Let’s _______ the old toy. We don’t need it.]]></category>
		<category><![CDATA[Meaning: Everyone gets their chance to do something big.]]></category>
		<category><![CDATA[Meaning: Having energy again after being tired.]]></category>
		<category><![CDATA[Those bright pink football boots really ___________.]]></category>
		<category><![CDATA[Week 3 Graded Assignments]]></category>
		<category><![CDATA[You__________ help me!]]></category>
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					<description><![CDATA[English week 3 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments  1-Perseverance Dedication Sloth  2-Sacrosanct Earthly Holy 03-Choose an appropriate prefix that gives the antonym of ‘apologetic’. Dis- Mis- Un- Non- 04-Choose&#8230;&#160;<a href="/english-week-3-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">English Week 3 Graded Assignments IIT Madras</span></a>]]></description>
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							<p><em>English week 3 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments </em></p>						</div>
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							<p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">1-Perseverance</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="VcXrtCkH8X8e.0.5436893529374720" type="radio" />Dedication</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.0.5436893529374720" type="radio" />Sloth</span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> 2-Sacrosanct </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.1.6246275754229760" type="radio" />Earthly</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="VcXrtCkH8X8e.1.6246275754229760" type="radio" />Holy</span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">03-Choose an appropriate prefix that gives the antonym of ‘<i>apologetic</i>’.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.2.4537868290621440" type="radio" />Dis-</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.2.4537868290621440" type="radio" />Mis-</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="VcXrtCkH8X8e.2.4537868290621440" type="radio" />Un-</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.2.4537868290621440" type="radio" />Non-</span></p><p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">04-Choose the appropriate option. </span></p><p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">            Those bright pink football boots really ___________. </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><br /><!-- [if !supportLineBreakNewLine]--><br /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.3.4670311593148416" type="radio" />Stand down</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.3.4670311593148416" type="radio" />Stand up</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="VcXrtCkH8X8e.3.4670311593148416" type="radio" />Stand out</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.3.4670311593148416" type="radio" />Stand aside</span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">05-Choose the appropriate option. </span></p><p class="MsoNormal" style="margin-bottom: 0cm; text-align: justify; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">     Let’s _______ the old toy. We don’t need it. </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><br /><!-- [if !supportLineBreakNewLine]--><br /><!--[endif]--></span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.4.6283962951401472" type="radio" />Throw in</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="VcXrtCkH8X8e.4.6283962951401472" type="radio" />Throw away</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.4.6283962951401472" type="radio" />Throw up</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.4.6283962951401472" type="radio" />Throw on</span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">Choose the correct option. </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> 06-I think I  ________ have failed the exam, but I’m not sure. </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.5.6198802239193088" type="radio" />Shall</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="VcXrtCkH8X8e.5.6198802239193088" type="radio" />Might</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">07-Choose the correct option. </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">       You__________ help me! </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="VcXrtCkH8X8e.6.6467796141604864" type="radio" />Should to</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="VcXrtCkH8X8e.6.6467796141604864" type="radio" />Have to</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">08-Getting a second wind</span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">      Meaning: Having energy again after being tired. </span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="nbRggmYxMviq.0.4869010386583552" type="radio" />True.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="nbRggmYxMviq.0.4869010386583552" type="radio" />False.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">09-Going on a wild goose chase</span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">Meaning: Taking credit for someone else&#8217;s achievements.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="nbRggmYxMviq.1.6538547741851648" type="radio" />True.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="nbRggmYxMviq.1.6538547741851648" type="radio" />False.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">10-The elephant in the room</span></p><p class="MsoNormal" style="margin-bottom: 0cm; line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 12.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;">Meaning: Everyone gets their chance to do something big.</span></p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input name="nbRggmYxMviq.2.6550977612087296" type="radio" />True.</span></p><p> </p><p class="MsoNormal" style="line-height: normal; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 10.5pt; font-family: 'Ubuntu',sans-serif; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; color: black; mso-color-alt: windowtext; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-IN; mso-bidi-language: HI;"><input checked="checked" name="nbRggmYxMviq.2.6550977612087296" type="radio" />False.</span></p>						</div>
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		<title>Maths Week 3 Graded Assignments IIT Madras</title>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 12:47:57 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Maths Week 3 Graded Assignments IIT Madras]]></category>
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					<description><![CDATA[Maths week 3 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments  There are some questions which have functions with discrete valued domains (such as day, month, year etc). For simplicity, we treat&#8230;&#160;<a href="/maths-week-3-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">Maths Week 3 Graded Assignments IIT Madras</span></a>]]></description>
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							<p><em>Maths week 3 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments </em></p>						</div>
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							<p><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;">There are some questions which have functions with discrete valued domains (such as day, month, year etc). For simplicity, we treat them as continuous functions.</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;">For NAT type question, enter only one right answer, even if you get multiple answers for that particular question.</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;">Notations:</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span class="inline-equation" style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"> = Set of real numbers </span><span class="inline-equation" style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">Q</span></span></span></span></span><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"> = Set of rational numbers</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span class="inline-equation" style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">Z</span></span></span></span></span><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"> = Set of integers</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span class="inline-equation" style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">N</span></span></span></span></span><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"> = Set of natural numbers</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><span style="color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;">The set of natural numbers includes 0.</span><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /><br style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;" /></p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="6llbQNdZwsI3" class="qt-mc-question qt-standalone" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><strong>1.Consider three Airports A, B, and C. Two friends Ananya and Madhuri want to meet at Airport C. Ananya Boarded Flight 1 from Point A to C which is 1200 km, due to bad weather, Flight 1 slowed down, and the average speed was reduced by 200 km/h and the time increased by 30 minutes. Madhuri boarded Flight 2 from Point B to C which is 1800 km, the average speed of Flight 2 is 720 km/h. What is the waiting time, and who will be waiting at the airport? (Given Ananya and Madhuri boarded at the same time)</strong></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="6llbQNdZwsI3.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="6llbQNdZwsI3" type="radio" data-index="0" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="6llbQNdZwsI3.0">Waiting Time is 1 hr and Ananya is waiting.</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="6llbQNdZwsI3.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="6llbQNdZwsI3" type="radio" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="6llbQNdZwsI3.1">Waiting Time is 1 hr and Madhuri is waiting.</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="6llbQNdZwsI3.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="6llbQNdZwsI3" type="radio" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="6llbQNdZwsI3.2">Waiting Time is 30 min and Ananya is waiting.</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="6llbQNdZwsI3.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="6llbQNdZwsI3" type="radio" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="6llbQNdZwsI3.3">Waiting Time is 30 min and Madhuri is waiting.</label></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><label style="margin: 0px; padding: 0px;" for="6llbQNdZwsI3.2">Waiting Time is 30 min and Ananya is waiting.</label></div></div></div></div></div></div></div></div><p> </p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="dqfo7UyiIgG4" class="qt-sa-question qt-standalone" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><strong>In question 1 What is the speed of flight 1 in km/hr if weather good (Actual Speed of flight 1).</strong></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 800</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div></div><p> </p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="DFuIkhaKkabe" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="DFuIkhaKkabe.0.5548035350200320" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><strong>2. If the slope of parabola <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=��2+��+�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">c</span></span></span></span></span>, where <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�,�,�∈�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">c</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">∈</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span> at points <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(3,2)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(2,3)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> are <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">46</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">46</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">4</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span></span></span></span></span> respectively, then find the value of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span></span></span></span></span>.</strong><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">No, the answer is incorrect.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">Score: 0</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 21.0</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><p> </p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="H9rFEUqUthBO" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="H9rFEUqUthBO.0.5671613492101120" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><strong>3. A class of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">234</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">234</span></span></span></span></span> students are arranged in rows such that the number of students in a row is one less than thrice the number of rows. Find the number of students in each row.</strong><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">No, the answer is incorrect.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">Score: 0</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 26</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><p> </p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="S9Xrl7lPi704" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;">Answer question no. 5 and 6 based on the information mentioned below.<br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" />A water fountain is designed to shoot a stream of water in the shape of a parabolic arc. The equation of the parabola is given by <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">ℎ(�)=−0.5�2+4�+1</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">h</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0.5</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span>, where <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">ℎ(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">h</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">t</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> represents the height of the water stream in meters and <i style="margin: 0px; padding: 0px;">t  </i>represents the time in seconds since the water was shot. Answer the following questions.</div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="S9Xrl7lPi704.0.6264055018815488" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><strong>5. Determine the time (in seconds) it takes for the water stream to reach its maximum height.</strong></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 4</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="S9Xrl7lPi704.1.4856680135262208" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;">6. <strong>Determine the maximum height reached (in meters).</strong></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 9</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><p> </p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="M4f4QPWeMMfj" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="M4f4QPWeMMfj.0.6016032468631552" class="qt-mc-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div>7. <strong>Find out the points where the curve <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=4�2+�+6</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span></span></span></span></span> and the straight line passing through the points <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(1,6)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(4,5)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">5</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> intersect.</strong><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.0.6016032468631552.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.0.6016032468631552" type="checkbox" data-index="0" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.0.6016032468631552.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.0.6016032468631552.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(−12,132)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">13</span></span></span></span></span></span></span></span></span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.0.6016032468631552.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.0.6016032468631552" type="checkbox" data-index="1" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.0.6016032468631552.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.0.6016032468631552.1"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(16,11318)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">18</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">113</span></span></span></span></span></span></span></span></span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.0.6016032468631552.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.0.6016032468631552" type="checkbox" data-index="2" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.0.6016032468631552.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.0.6016032468631552.2"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(0,6)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.0.6016032468631552.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.0.6016032468631552" type="checkbox" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.0.6016032468631552.3">The curve and the straight line do not intersect.</label></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.0.6016032468631552.0"><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.0.6016032468631552.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(−12,132)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">13</span></span></span></span></span></span></span></span></span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.0.6016032468631552.1"><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.0.6016032468631552.1"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">(16,11318)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">6</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">1</span></span></span></span></span></span></span></span></span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">18</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">113</span></span></span></span></span></span></span></span></span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="M4f4QPWeMMfj.1.4830690684174336" class="qt-mc-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;">8. <strong>Which of the following is/are correct</strong></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.1.4830690684174336.0" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.1.4830690684174336" type="checkbox" data-index="0" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.1.4830690684174336.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.1.4830690684174336.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span> intercepts of the quadratic function <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> are known as the real roots of the quadratic equation <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span>.</label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.1.4830690684174336.1" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.1.4830690684174336" type="checkbox" data-index="1" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.1.4830690684174336.1">If discriminant for two quadratic equations are same then they must be the same quadratic equations.</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.1.4830690684174336.2" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.1.4830690684174336" type="checkbox" data-index="2" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.1.4830690684174336.2">The slope at the vertex of the quadratic function is zero.</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.1.4830690684174336.3" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.1.4830690684174336" type="checkbox" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.1.4830690684174336.3">Every Quadratic function has axis of symmetry.</label></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.1.4830690684174336.4" style="padding: 0px; font-family: inherit; font-size: inherit;" disabled="disabled" name="M4f4QPWeMMfj.1.4830690684174336" type="checkbox" data-index="4" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.1.4830690684174336.4"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.1.4830690684174336.4">Suppose <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">P</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> is a Quadratic function and L be any straight line, then L must intersect the graph of <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">P</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span>.</label></label><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.1.4830690684174336.0"><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.1.4830690684174336.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span></span></span></span></span> intercepts of the quadratic function <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span></span></span></span></span> are known as the real roots of the quadratic equation <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�(�)=0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.10764em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">f</span><span class="mopen" style="margin: 0px; padding: 0px; border-color: currentcolor;">(</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mclose" style="margin: 0px; padding: 0px; border-color: currentcolor;">)</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span>.</label></label><div style="margin: 0px; padding: 0px;"> </div></div><div style="margin: 0px; padding: 0px;"><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.1.4830690684174336.2">The slope at the vertex of the quadratic function is zero.</label></div><div style="margin: 0px; padding: 0px;"><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.1.4830690684174336.3">Every Quadratic function has axis of symmetry.</label></div></div></div></div></div></div></div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;">8.</div><div id="M4f4QPWeMMfj.2.5453082515210240" class="qt-mc-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;">Based on the Figure M1W3-1,which of the following is/are correct<br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" /> <br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" />                      <img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle; width: 500px; height: 400px;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_ma1001/assets/img/M1_W3_CORR.PNG" alt="" /><br style="margin: 0px; padding: 0px;" />                                                            Fig:M1W3-1<div class="yui-wk-div" style="margin: 0px; padding: 0px;"><br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" /></div></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.2.5453082515210240.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="M4f4QPWeMMfj.2.5453082515210240" type="radio" data-index="0" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.2.5453082515210240.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.2.5453082515210240.0">The graph can be represented by \(y = ax^2 +bx +c\) given <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�≠0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord vbox" style="margin: 0px; padding: 0px; border-color: currentcolor; align-items: baseline; display: inline-flex; flex-direction: column;"><span class="thinbox" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-flex; flex-direction: row; max-width: 0px; width: 0px;"><span class="rlap" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; width: 0px;"><span class="inner" style="margin: 0px; padding: 0px; border-color: currentcolor; position: absolute; left: 0px;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;"></span></span></span></span></span></span></span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�,�∈�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">∈</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span>,<span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�&gt;0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">&gt;</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.2.5453082515210240.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="M4f4QPWeMMfj.2.5453082515210240" type="radio" data-index="1" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.2.5453082515210240.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.2.5453082515210240.1">The graph can be represented by \(y = ax^2 +bx +c\) given <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�,�∈</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">∈</span></span></span></span></span><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span>,<span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�&gt;0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">&gt;</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.2.5453082515210240.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="M4f4QPWeMMfj.2.5453082515210240" type="radio" data-index="2" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.2.5453082515210240.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.2.5453082515210240.2">The graph can be represented by \(y = ax^2 +bx +c\) given <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�&lt;0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">&lt;</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�,�∈</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">∈</span></span></span></span></span><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span>,<span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�&gt;0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">&gt;</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="M4f4QPWeMMfj.2.5453082515210240.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="M4f4QPWeMMfj.2.5453082515210240" type="radio" data-index="3" /><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="M4f4QPWeMMfj.2.5453082515210240.3">None</label></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.2.5453082515210240.1"><label style="margin: 0px; padding: 0px;" for="M4f4QPWeMMfj.2.5453082515210240.1">The graph can be represented by \(y = ax^2 +bx +c\) given <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span> and <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�,�∈</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mpunct" style="margin: 0px; padding: 0px; border-color: currentcolor;">,</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">b</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">∈</span></span></span></span></span><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathbb" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_AMS;">R</span></span></span></span></span>,<span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�&gt;0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">a</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">&gt;</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div></div></div></div></div></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><p> </p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="AXLzpoiOx0XS" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="AXLzpoiOx0XS.0.4599467164565504" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div>9. The product of two consecutive odd natural numbers is <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">255</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">255</span></span></span></span></span>. Find the largest number among them.<div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">No, the answer is incorrect.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="incorrect" style="margin: 1rem 0px; padding: 0px; color: #ff3b3b;">Score: 0</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 17</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><p> </p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div id="gTolj1fnF1zW" class="qt-question-group" style="margin: 0px; padding: 0px;"><div class="qt-introduction" style="margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;"> </div><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="gTolj1fnF1zW.0.5535723864195072" class="qt-sa-question qt-embedded" style="margin: 0px; padding: 0px;"><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><strong>10. The slope of a parabola <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=3�2−11�+10</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">11</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">10</span></span></span></span></span> at a point <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">P</span></span></span></span></span> is 7. Find the <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�−</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span></span></span></span> coordinate of the point <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">P</span></span></span></span></span>.</strong><div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-response" style="margin: 0px; padding: 0px;"> </div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;">(Type: Numeric) 4.0</div></div></div></div></div><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div></div><div class="qt-feedback qt-hidden" style="margin: 0px; padding: 0px;" role="alert"> </div></div></div><p> </p><div style="margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;"><div class="gcb-cols gcb-question-counter-increment gcb-question-row" style="margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;"><div class="gcb-col-counters gcb-show-question-counter" style="margin: 0px; padding: 0px 5px 0px 0px; float: left;"> </div><div id="HfEWWMmBLFry" class="qt-mc-question qt-standalone" style="margin: 0px; padding: 0px;"><div class="qt-points" style="margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;"><em style="margin: 0px; padding: 0px;">1 point</em></div><div class="qt-question" style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><strong>11. An Architect is designing an arch which is in the shape of figure M1W3-PARABOLA,</strong><br style="margin: 0px; padding: 0px;" /><strong> The details of the design are as follows:</strong><br style="margin: 0px; padding: 0px;" /><strong> Height of arch is 20m, width of arch at height of 8m is 4m.</strong><br style="margin: 0px; padding: 0px;" /><strong> Consider the axis of symmetry as <span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=0</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">0</span></span></span></span></span>, find the equation of the arch.</strong><br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" /><br style="margin: 0px; padding: 0px;" />   <img decoding="async" class="yui-img" style="margin: 0px; padding: 0px; vertical-align: middle; width: 500px; height: 400px;" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/23t2_ma1001/assets/img/M1_W4_PARABOLA.jpg" alt="" /><br style="margin: 0px; padding: 0px;" />                                                   fig:M1W3-PARABOLA<div style="margin: 0px; padding: 0px;"> </div></div><div class="qt-choices" style="margin: 16px 0px 0px; padding: 0px;"><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="HfEWWMmBLFry.0" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="HfEWWMmBLFry" type="radio" data-index="0" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="HfEWWMmBLFry.0"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="HfEWWMmBLFry.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=−3�2+20</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">20</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="HfEWWMmBLFry.1" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="HfEWWMmBLFry" type="radio" data-index="1" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="HfEWWMmBLFry.1"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="HfEWWMmBLFry.1"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=−34�2+20</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mfrac" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t vlist-t2" style="margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.845108em;"><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.655em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">4</span></span></span></span><span class="" style="margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.394em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span></span></span></span></span></span></span></span></span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">20</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="HfEWWMmBLFry.2" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="HfEWWMmBLFry" type="radio" data-index="2" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="HfEWWMmBLFry.2"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="HfEWWMmBLFry.2"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=−�2+�+20</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">20</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div><div class="gcb-mcq-choice" style="margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;"><input id="HfEWWMmBLFry.3" style="padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;" disabled="disabled" name="HfEWWMmBLFry" type="radio" data-index="3" /><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="HfEWWMmBLFry.3"><label style="margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;" for="HfEWWMmBLFry.3"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=−2�2−2�+20</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">20</span></span></span></span></span></label></label><div style="margin: 0px; padding: 0px;"> </div></div></div><div class="qt-feedback" style="margin: 0px; padding: 0px;" role="alert"><div style="margin: 0px; padding: 0px;"><h3 class="feedback-header" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;"><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Yes, the answer is correct.</span><br style="margin: 1rem 0px; padding: 0px;" /><span class="correct" style="margin: 1rem 0px; padding: 0px; color: #05a660;">Score: 1</span></h3><h3 class="feedback-header faculty-answer" style="margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;">Accepted Answers:</h3><div class="faculty-answer" style="margin: 0px; padding: 0px; color: #05a660;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"><div style="margin: 0px; padding: 0px;"> </div><label style="margin: 0px; padding: 0px;" for="HfEWWMmBLFry.0"><span class="inline-equation" style="margin: 0px; padding: 0px;"><span class="katex" style="margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;"><span class="katex-mathml" style="margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;">�=−3�2+20</span><span class="katex-html" style="margin: 0px; padding: 0px; border-color: currentcolor;" aria-hidden="true"><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord mathnormal" style="margin: 0px 0.03588em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">y</span><span class="mrel" style="margin: 0px; padding: 0px; border-color: currentcolor;">=</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">−</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">3</span><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="mord mathnormal" style="margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;">x</span><span class="msupsub" style="margin: 0px; padding: 0px; border-color: currentcolor;"><span class="vlist-t" style="margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;"><span class="vlist-r" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;"><span class="vlist" style="margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;"><span class="" style="margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;"><span class="sizing reset-size6 size3 mtight" style="margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;"><span class="mord mtight" style="margin: 0px; padding: 0px; border-color: currentcolor;">2</span></span></span></span></span></span></span></span><span class="mbin" style="margin: 0px; padding: 0px; border-color: currentcolor;">+</span></span><span class="base" style="margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;"><span class="mord" style="margin: 0px; padding: 0px; border-color: currentcolor;">20</span></span></span></span></span></label></div></div></div></div></div></div></div></div>						</div>
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		<title>Statistics Week 2 Graded Assignments IIT Madras</title>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 12:27:15 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Statistics Week 2 Graded Assignments IIT Madras]]></category>
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					<description><![CDATA[Statistics week 2 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments  1. Which of the following statements is/are incorrect? &#160; To represent the share of a particular category, bar chart is the&#8230;&#160;<a href="/statistics-week-2-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">Statistics Week 2 Graded Assignments IIT Madras</span></a>]]></description>
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							<p><em>Statistics week 2 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments </em></p>						</div>
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							<div class="qt-question">1. Which of the following statements is/are incorrect?</div>
<div>&nbsp;</div>
<div class="qt-choices">
<div class="gcb-mcq-choice"><span style="color: #0000ff;"><label for="C76s1PYZXKff.0">To represent the share of a particular category, bar chart is the most appropriate graphical representation.</label></span></div>
<div class="gcb-mcq-choice"><input id="C76s1PYZXKff.1" disabled="disabled" name="C76s1PYZXKff" type="checkbox" data-index="1"><label for="C76s1PYZXKff.1">The multiplication of the total number of observations and relative </label></div>
<div class="gcb-mcq-choice"><label for="C76s1PYZXKff.1">&nbsp; &nbsp; frequency of a particular observation should be equal to the frequency of that observation.</label></div>
<div class="gcb-mcq-choice"><span style="color: #0000ff;"><input id="C76s1PYZXKff.2" disabled="disabled" name="C76s1PYZXKff" type="checkbox" data-index="2"><label for="C76s1PYZXKff.2">Mean can be defined for a categorical variable.</label></span></div>
<div class="gcb-mcq-choice"><input id="C76s1PYZXKff.3" disabled="disabled" name="C76s1PYZXKff" type="checkbox" data-index="3"><label for="C76s1PYZXKff.3">Mode of a categorical variable is the widest slice in a pie chart.</label></div>
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<div>&nbsp;</div>
<div>
<p>2.&nbsp; Figure 2.1.G shows the pie chart representation of the weightage distribution of 5 different subjects in an exam. Based on this information, answer questions (2) and (3).</p>
<div class="qt-introduction">
<div class="yui-wk-div">
</div>
<p><img decoding="async" class="yui-img selected" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/22t3_ma1002/assets/img/statscd1.jpg" alt=""></p>
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<div class="gcb-cols gcb-question-counter-increment gcb-question-row">
<div class="gcb-col-counters gcb-show-question-counter">&nbsp;</div>
<div id="vwMlOZspz4jL.0.6620840623865856" class="qt-sa-question qt-embedded">
<div class="qt-question">&nbsp; If the exam is for a total of 500 marks, then what is the aggregate distribution of marks in Physics,&nbsp; &nbsp; &nbsp;Maths and Biology?</div>
<div><span style="color: #0000ff;">&nbsp; &nbsp; 315</span></div>
</div>
</div>
</div>
<div>&nbsp;</div>
<div>
<p>3.&nbsp; Choose the correct statement(s):</p>
<div class="qt-choices">
<div class="gcb-mcq-choice"><input id="vwMlOZspz4jL.1.4516960104611840.0" disabled="disabled" name="vwMlOZspz4jL.1.4516960104611840" type="checkbox" data-index="0"><label for="vwMlOZspz4jL.1.4516960104611840.0">The pie chart is misleading because it does not obey the area principle.</label></div>
<div class="gcb-mcq-choice"><input id="vwMlOZspz4jL.1.4516960104611840.1" disabled="disabled" name="vwMlOZspz4jL.1.4516960104611840" type="checkbox" data-index="1"><label for="vwMlOZspz4jL.1.4516960104611840.1">The pie chart has round off errors.</label></div>
<div class="gcb-mcq-choice"><input id="vwMlOZspz4jL.1.4516960104611840.2" disabled="disabled" name="vwMlOZspz4jL.1.4516960104611840" type="checkbox" data-index="2"><label for="vwMlOZspz4jL.1.4516960104611840.2">The pie chart is not a misleading graph.</label></div>
<div class="gcb-mcq-choice"><span style="color: #0000ff;"><input id="vwMlOZspz4jL.1.4516960104611840.3" disabled="disabled" name="vwMlOZspz4jL.1.4516960104611840" type="checkbox" data-index="3"><label for="vwMlOZspz4jL.1.4516960104611840.3">The slices of pie chart adds up to 100%.</label></span></div>
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<div class="qt-introduction">
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<p>Table 2.1.G represents the distribution of 200 cricket players trained by different cricket academies in Chennai.</p>
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<p><img decoding="async" class="yui-img selected" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/22t3_ma1002/assets/img/statscd2.jpg" alt=""></p>
<p>If each academy has trained at least one player, then based on the given information, answer questions (4), (5), (6) and (7).</p>
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<p>4. What is the combined relative frequency of the academy <span class="inline-equation"><span class="katex"><span class="katex-mathml">,</span><span class="katex-html" aria-hidden="true"><span class="base"><span class="mord mathnormal">A</span><span class="mpunct">,</span><span class="mord mathnormal">B</span></span></span></span></span> and&nbsp;<span class="inline-equation"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="mord mathnormal">D</span></span></span></span></span>? (Enter the answer correct to 3 decimal places)</p>
</div>
<div><span style="color: #0000ff;">&nbsp; &nbsp;0.370</span></div>
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</div>
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<div>&nbsp;</div>
<div>
<p>5.&nbsp; Median of the given data is:</p>
<div class="qt-choices">
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.1.6057890670444544.0" disabled="disabled" name="JBd0JvUqumxR.1.6057890670444544" type="radio" data-index="0"><label for="JBd0JvUqumxR.1.6057890670444544.0">Academy C</label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.1.6057890670444544.1" disabled="disabled" name="JBd0JvUqumxR.1.6057890670444544" type="radio" data-index="1"><label for="JBd0JvUqumxR.1.6057890670444544.1">Academy E</label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.1.6057890670444544.2" disabled="disabled" name="JBd0JvUqumxR.1.6057890670444544" type="radio" data-index="2"><label for="JBd0JvUqumxR.1.6057890670444544.2">Academy D</label></div>
<div class="gcb-mcq-choice"><span style="color: #0000ff;"><input id="JBd0JvUqumxR.1.6057890670444544.3" disabled="disabled" name="JBd0JvUqumxR.1.6057890670444544" type="radio" data-index="3"><label for="JBd0JvUqumxR.1.6057890670444544.3">Median is not defined for the given data</label></span></div>
<div class="gcb-mcq-choice"><span style="color: #ffffff;"><input id="JBd0JvUqumxR.1.6057890670444544.4" disabled="disabled" name="JBd0JvUqumxR.1.6057890670444544" type="radio" data-index="4"><span style="color: #000000;"><label for="JBd0JvUqumxR.1.6057890670444544.4">Insufficient data</label></span></span></div>
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<div>&nbsp;</div>
<div>
<p>6.&nbsp; Mode of the given data is:</p>
<div class="qt-choices">
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.2.5494940717023232.0" disabled="disabled" name="JBd0JvUqumxR.2.5494940717023232" type="radio" data-index="0"><label for="JBd0JvUqumxR.2.5494940717023232.0">Academy C</label></div>
<div class="gcb-mcq-choice"><span style="color: #0000ff;"><input id="JBd0JvUqumxR.2.5494940717023232.1" disabled="disabled" name="JBd0JvUqumxR.2.5494940717023232" type="radio" data-index="1"><label for="JBd0JvUqumxR.2.5494940717023232.1">Academy E</label></span></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.2.5494940717023232.2" disabled="disabled" name="JBd0JvUqumxR.2.5494940717023232" type="radio" data-index="2"><label for="JBd0JvUqumxR.2.5494940717023232.2">Academy D</label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.2.5494940717023232.3" disabled="disabled" name="JBd0JvUqumxR.2.5494940717023232" type="radio" data-index="3"><label for="JBd0JvUqumxR.2.5494940717023232.3">Mode is not defined for the given data</label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.2.5494940717023232.4" disabled="disabled" name="JBd0JvUqumxR.2.5494940717023232" type="radio" data-index="4"><label for="JBd0JvUqumxR.2.5494940717023232.4">Insufficient data</label></div>
</div>
</div>
<div>&nbsp;</div>
<div>
<p>7.&nbsp; Which of the following graphical representations is appropriate for the number of players in each academy for the given data in Table 2.1.G?</p>
<div class="qt-choices">
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.3.5219127530618880.0" disabled="disabled" name="JBd0JvUqumxR.3.5219127530618880" type="radio" data-index="0"><label for="JBd0JvUqumxR.3.5219127530618880.0">Bar chart</label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.3.5219127530618880.1" disabled="disabled" name="JBd0JvUqumxR.3.5219127530618880" type="radio" data-index="1"><label for="JBd0JvUqumxR.3.5219127530618880.1">Pie chart</label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.3.5219127530618880.2" disabled="disabled" name="JBd0JvUqumxR.3.5219127530618880" type="radio" data-index="2"><label for="JBd0JvUqumxR.3.5219127530618880.2">Pareto chart</label></div>
<div class="gcb-mcq-choice"><span style="color: #0000ff;"><input id="JBd0JvUqumxR.3.5219127530618880.3" disabled="disabled" name="JBd0JvUqumxR.3.5219127530618880" type="radio" data-index="3"><label for="JBd0JvUqumxR.3.5219127530618880.3">Both bar chart and pareto chart</label></span></div>
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<div>&nbsp;</div>
<div>&nbsp;</div>
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<div class="qt-choices">
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<div class="qt-question">8.&nbsp; The data of number of students sharing the same rank is collected. Which of the following is/are suitable to represent the collected data?</div>
<div class="qt-choices">
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.4.5143385530695680.0" disabled="disabled" name="JBd0JvUqumxR.4.5143385530695680" type="radio" data-index="0"><label for="JBd0JvUqumxR.4.5143385530695680.0"><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/22t3_ma1002/assets/img/statsa.jpg" alt=""></label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.4.5143385530695680.1" disabled="disabled" name="JBd0JvUqumxR.4.5143385530695680" type="radio" data-index="1"><label for="JBd0JvUqumxR.4.5143385530695680.1"><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/22t3_ma1002/assets/img/statsb.jpg" alt="">Correct Answers</label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.4.5143385530695680.2" disabled="disabled" name="JBd0JvUqumxR.4.5143385530695680" type="radio" data-index="2"><label for="JBd0JvUqumxR.4.5143385530695680.2"><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/22t3_ma1002/assets/img/statsc.jpg" alt=""></label></div>
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<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.4.5143385530695680.2" disabled="disabled" name="JBd0JvUqumxR.4.5143385530695680" type="radio" data-index="2"><label for="JBd0JvUqumxR.4.5143385530695680.2"><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/22t3_ma1002/assets/img/statsc.jpg" alt=""></label></div>
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<div>&nbsp;</div>
<div>&nbsp;</div>
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<div class="qt-question">9.&nbsp; Choose the correct statement about categorical data:</div>
<div class="qt-choices">
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.5.4909733001560064.0" disabled="disabled" name="JBd0JvUqumxR.5.4909733001560064" type="radio" data-index="0"><label for="JBd0JvUqumxR.5.4909733001560064.0">Categorical data have measurement units.</label></div>
<div class="gcb-mcq-choice"><span style="color: #0000ff;"><label for="JBd0JvUqumxR.5.4909733001560064.1">Categorical data can take numerical values, but no meaningful mathematical operations can be performed on it.</label></span></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.5.4909733001560064.2" disabled="disabled" name="JBd0JvUqumxR.5.4909733001560064" type="radio" data-index="2"><label for="JBd0JvUqumxR.5.4909733001560064.2">Categorical data is quantitative in nature.</label></div>
<div class="gcb-mcq-choice"><input id="JBd0JvUqumxR.5.4909733001560064.3" disabled="disabled" name="JBd0JvUqumxR.5.4909733001560064" type="radio" data-index="3"><label for="JBd0JvUqumxR.5.4909733001560064.3">All of the above</label></div>
</div>
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<div>&nbsp;</div>
<div>&nbsp;</div>
<div>&nbsp; &nbsp;The distribution of grades in a Statistics class consisting of 80 students is shown by a pie chart in Figure 2.2.G. Based on the information given, answer the questions (10) and (11)<br><img decoding="async" class="yui-img" title="" src="https://backend.seek.onlinedegree.iitm.ac.in/22t3_ma1002/assets/img/statscd3.jpg" alt=""></div>
<div>10.&nbsp; How many students have secured B grade?</div>
<div><span style="color: #0000ff;">&nbsp; &nbsp; &nbsp; &nbsp; 26</span></div>
<div>11.&nbsp; What is the ratio of the students who secured a C grade to the students who secured an A grade?</div>
<div><span style="color: #0000ff;">&nbsp; &nbsp; &nbsp; &nbsp;0.9</span></div>
<div>&nbsp;</div>
<div>&nbsp;</div>
<div>&nbsp;</div>
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		<title>English Week 2 Graded Assignments IIT Madras</title>
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		<dc:creator><![CDATA[Khushi Dii]]></dc:creator>
		<pubDate>Wed, 09 Aug 2023 11:51:27 +0000</pubDate>
				<category><![CDATA[Qualifier Graded Assignments]]></category>
		<category><![CDATA[___ coffee taster had his tongue insured for 10 million pounds.]]></category>
		<category><![CDATA[Both Ajay _______ Sanjay are intelligent.]]></category>
		<category><![CDATA[Catherine was worried about her work.]]></category>
		<category><![CDATA[English Week 2 Graded Assignments]]></category>
		<category><![CDATA[Golconda Fort is the _________ site I saw in Hyderabad.]]></category>
		<category><![CDATA[Graded Assignments IIT Madras]]></category>
		<category><![CDATA[Identify the part of speech of the underlined word.]]></category>
		<category><![CDATA[Select the correct pronoun.]]></category>
		<category><![CDATA[She was honoured for her courage.]]></category>
		<category><![CDATA[She was softly singing to the baby.]]></category>
		<category><![CDATA[The bus came to a halt by _________.]]></category>
		<category><![CDATA[The doctor gave me a prescription ________ my headache.]]></category>
		<category><![CDATA[The red balloon floated away.]]></category>
		<category><![CDATA[There is ______ book on the desk.]]></category>
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					<description><![CDATA[English week 2 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments  Identify the part of speech of the underlined word.  She was honoured for her courage. (a) Abstract noun(b) (c) Noun(d) Adverb 2. Identify&#8230;&#160;<a href="/english-week-2-graded-assignments-iit-madras/" class="" rel="bookmark">Read More &#187;<span class="screen-reader-text">English Week 2 Graded Assignments IIT Madras</span></a>]]></description>
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							<p><em>English week 2 graded assignment Complete  Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments </em></p>						</div>
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							<p> </p><p>Identify the part of speech of the underlined word.  <i>She was honoured for her </i><i>courage.</i></p><div class="gcb-mcq-choice"><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) Abstract noun</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) </label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.2" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="2" /><label for="0MVZ042HGf4n.1.4826180570054656.2">(c) <span style="color: #3366ff;">Noun</span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.3" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="3" /><label for="0MVZ042HGf4n.1.4826180570054656.3">(d) Adverb</label></div></div><div><div> </div><div>2. Identify the part of speech of the underlined word.  Catherine was worried about her work.</div><div><div class="gcb-mcq-choice"><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) Abstract noun</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) <span style="color: #3366ff;">Verb</span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.2" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="2" /><label for="0MVZ042HGf4n.1.4826180570054656.2">(c) Noun</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.3" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="3" /><label for="0MVZ042HGf4n.1.4826180570054656.3">(d) Adverb</label></div></div></div></div><div> </div><div><div><div class="gcb-mcq-choice"><div>3. Select the correct pronoun.   The bus came to a halt by _________.</div></div></div></div><div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) Himself</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) <span style="color: #3366ff;">Itself</span></label></div></div><div> </div><div>4. Select the appropriate option.  Golconda Fort is the _________ site I saw in Hyderabad. </div><div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) Amazing </label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) More Amazing </label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.2" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="2" /><label for="0MVZ042HGf4n.1.4826180570054656.2">(c) <span style="color: #3366ff;">Most Amazing </span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.3" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="3" /><label for="0MVZ042HGf4n.1.4826180570054656.3">(d) Only a and b</label></div><div> </div></div><div>5.  Select the appropriate option.  Golconda Fort is the _________ site I saw in Hyderabad. </div><div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) Adverb</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) <span style="color: #3366ff;">Adjective</span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.2" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="2" /><label for="0MVZ042HGf4n.1.4826180570054656.2">(c) Verb</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.3" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="3" /><label for="0MVZ042HGf4n.1.4826180570054656.3">(d) Only a and b</label></div></div><div> </div><div>6. Select the appropriate option.  Golconda Fort is the _________ site I saw in Hyderabad. </div><div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) Baby</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) Singing</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.2" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="2" /><label for="0MVZ042HGf4n.1.4826180570054656.2">(c) <span style="color: #3366ff;">Softly</span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.3" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="3" /><label for="0MVZ042HGf4n.1.4826180570054656.3">(d) She</label></div></div><div> </div><div>7. Choose the appropriate option. <p dir="ltr">There is ______ book on the desk</p></div><div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) <span style="color: #3366ff;">A</span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) Special</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.2" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="2" /><label for="0MVZ042HGf4n.1.4826180570054656.2">(c) Sebaceous</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.3" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="3" /><label for="0MVZ042HGf4n.1.4826180570054656.3">(d) Only a and b</label></div></div><div> </div><div>8.  Choose the appropriate option. <p dir="ltr">There is ______ book on the desk</p></div><div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) With</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) At</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.2" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="2" /><label for="0MVZ042HGf4n.1.4826180570054656.2">(c) <span style="color: #3366ff;">For</span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.3" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="3" /><label for="0MVZ042HGf4n.1.4826180570054656.3">(d) Only a and b</label></div><div> </div></div><div>9.Choose the appropriate option. <p dir="ltr">Both Ajay _______ Sanjay are intelligent. </p></div><div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) Nor</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) Or</label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.2" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="2" /><label for="0MVZ042HGf4n.1.4826180570054656.2">(c) <span style="color: #3366ff;">And</span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.3" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="3" /><label for="0MVZ042HGf4n.1.4826180570054656.3">(d) Only a and b</label></div></div><div> </div><div>10. ___ coffee taster had his tongue insured for 10 million pounds.</div><div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.0" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="0" /><label for="0MVZ042HGf4n.1.4826180570054656.0">(a) <span style="color: #3366ff;">A</span></label></div><div class="gcb-mcq-choice"><input id="0MVZ042HGf4n.1.4826180570054656.1" disabled="disabled" name="0MVZ042HGf4n.1.4826180570054656" type="radio" data-index="1" /><label for="0MVZ042HGf4n.1.4826180570054656.1">(b) An</label></div><div class="gcb-mcq-choice"> </div></div><div> </div><div> </div><div> </div>						</div>
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