Week 1 Graded Assignments – Students Community

Maths Week 2 Graded Assignments IIT Madras

Khushi Dii — Wed, 09 Aug 2023 11:49:33 +0000

Maths 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

For NAT type question, enter only one right answer, even if you get multiple answers for that particular question.

Notations:

$R$ = Set of real numbers $Q$ = Set of rational numbers
$Z$ = Set of integers
$N$ = Set of natural numbers

The set of natural numbers includes 0.

1 point

Find the y – coordinate of the point of intersection of straight lines represented by (1) and (2), given the following equations:

ax + by + c = E —- (1)

b x + cy + d^{2}

= F —- (2)

Given that

$E = F = 0$

Arithmetic mean of a and b is c.

Geometric mean of a and b is d.

Choose the correct option.

Note:

Arithmetic mean of m and n is $2 m + n$

Geometric mean of m and n is $mn$

Yes, the answer is correct.
Score: 1

Accepted Answers:

$(2 b ^{2} - a ^{2} - ab 2 a ^{2} b - ab - b ^{2}$

Answer question no. 2 and 3 based on the information mentioned below.

A mobile company wants to launch its new model in collaboration with a network provider named Astron to attract more customers.

The following are two options the mobile company gives to buy the mobile.

Option 1 – Mobile and 1-year Astron Network costs 34000 rupees (Network offers unlimited calls for one year)

Option 2 – Only Mobile costs 22000 rupees

Now Lalith wants to buy this new model mobile. Lalith needs only 200 minutes per month.

There are two network providers in the country.

1 point

2. What is the best option for Lalith to buy the mobile?

Choose the correct option.

Buy only a mobile and take 1 year Astron.

Buy mobile along with 1-year Astron network offered by the mobile company

Buy only mobile and take 1 year Proton network

Buy only mobile and use Astron network for 6 months and Proton network for 6 months.

Yes, the answer is correct.
Score: 1

Accepted Answers:

Buy only mobile and take 1 year Proton network

3. How much will he save per year if he chooses the best option to buy the mobile compared to the collaborated offer given by the company?

Yes, the answer is correct.
Score: 1

Accepted Answers:

(Type: Numeric) 8400

1 point

Answer question no. 4 and 5 based on the information mentioned below.

State Government wants to connect the state road to the national highway from a town. There are 3 possible locations in the town A,B and C to connect to the National Highway whose locations are given by coordinates

(3, 8)

(5, 7)

(6, 9)

. The National Highway connects the 2 points

(2, 1)

(10, 7)

and You, being the contractor, have the freedom to select any one of the 3 possible locations in the town.

Hint Always select the shortest path to construct the road.

Note: 1 unit = 100 meter

1 point

4. What point will you select to build the road?

None

Yes, the answer is correct.
Score: 1

Accepted Answers:

What is the minimum length of road in meter required to construct to connect to the National Highway?

No, the answer is incorrect.
Score: 0

Accepted Answers:

(Type: Numeric) 300

1 point

6. The total expenses of mess consists of fixed cost and the variable cost, Variable cost is proportional to the number of inmates of the mess, The total expenses are 16000 rupees when 12 members in the mess,and 20000 rupees when 20 members in the mess, find the Fixed cost of the mess.

Yes, the answer is correct.
Score: 1

Accepted Answers:

(Type: Numeric) 10000

1 point

7. A line perpendicular to the line segment joining A $(1, 0)$ and B $(2, 3)$ , divides it at C in the ratio of 1:5 internally. Then the equation of line is

$3 x + 9 y - 8 = 0$

$3 x + 9 y + 8 = 0$

$x + 3 y - 8 = 0$

$3 x + 9 y - 16 = 0$

Yes, the answer is correct.
Score: 1

Accepted Answers:

$3 x + 9 y - 8 = 0$

8. A bird is flying along the straight line $2 y - 6 x = 44$ . In the same plane, an aeroplane starts to fly in a straight line and passes through the point $(4, 12)$ . Consider the point where aeroplane starts to fly as origin. If the bird and plane collides then enter the answer as 1 and if not then 0. Note: Bird and aeroplane can be considered to be of negligible size.

Yes, the answer is correct.
Score: 1

Accepted Answers:

(Type: Numeric) 0

1 point

9. A surveyor needs to determine the area of a land show in Fig below. The coordinates of the four vertices of the land are as follows: A $(8, 13)$ , B $(3, 10)$ , C $(4, 4)$ , D $(16, 5)$

Fig:Survey Area

Yes, the answer is correct.
Score: 1

Accepted Answers:

(Type: Numeric) 68.5

1 point

Answer question no. 10 and 11 based on the information mentioned below.

A fitness trainer is analyzing the weight loss progress of his best client over a period of 6 months, to use it as for marketing. He recorded the weight of the client at the beginning and end of each month. Using straight line fitting, he came up with an equation

W = - 8 t + 98

, where W = Weight in Kg, t= time in months.

Now you want to check weather this equation is correct or not so you collected the data from the gym, the data is given in table below.

1 point

11. Equation that fitness trainer came up with $W = - 8 t + 98$ is well fitted to data. (Equation is said to be well fitted to data if the SSE is less than 5)

True

False

Yes, the answer is correct.
Score: 1

Accepted Answers:

True

12.2

You were impressed by the performance of the fitness trainer, so you want to get trained under him, you assumed that the rate of weight loss (weight loss per month) will be same as the case of the best client mentioned in the question. Considering your assumption is true, how many days are required for you to loss weight from 100 kg to 72 kg.

Note: 1 month has 30 days

Yes, the answer is correct.
Score: 1

Accepted Answers:

(Type: Numeric) 105

1 point

The equation used to measure the $C_{d}$ (discharge coefficient) of the venturimeter value in the lab is:

$Q = 1 - β ^{4} c _{d} 2 g Δ h$

$c_{d} - discharge coefficient$

$β - D d$

A1– Pipe section

A2– Restriction area

$Δ h - head losses$

Q– flow rate

Ramesh plotted the graph between Q on the y-axis and $Δ h$ on the x-axis and claimed that $1 - β ^{4} c _{d} 2 g$ is the slope of the obtained straight line.

Suresh plotted the graph between $Δ h$ on the y-axis and Q on the x-axis and claimed that $c _{d} 2 g 1 - β ^{4}$ is the slope of the straight line.

Who is/are actually correct?

Only Ramesh

Only Suresh

Both Ramesh and Suresh

None of them are correct

Yes, the answer is correct.
Score: 1

Accepted Answers:

Both Ramesh and Suresh

A rock is thrown in a pond, and creates circular ripples whose radius increases at a rate of 0.2 meter per second. What will be the value of $π A$ , where $A$ is the area (in square meter) of the circle after 5 seconds?
Hint: The area of a circle = $π r^{2}$ , where $r$ is the radius of the circle.

Yes, the answer is correct.
Score: 1

Accepted Answers:

(Type: Numeric) 1.0

PDF Solution

Week 2 Graded Solutions

Statistics Week 1 Graded Assignments IIT Madras

Khushi Dii — Wed, 09 Aug 2023 11:26:01 +0000

Statistics week 1 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

The education minister wants to know the status of campus placements of B.Tech students in different engineering institutes of India. An analyst did a survey on the randomly selected four IITs of India and analysed the status of campus placements. Based on the information given, answer the questions (1), (2) and (3)..

1. Identify the sample and population.

A. The sample consists of all the engineering institutes of India and the population consists of randomly selected four IITs of India.

B. The sample consists of all the IITs of India and the population consists of all the engineering institutes of India.

C. The sample consists of all IITs of India and the population consists of randomly selected four IITs of India.

D. The sample consists of four randomly selected IITs of India and the population consists of all the engineering institutes of India.

2. The report given by an analyst to the education minister about the status of campus placements states that “The campus placement of B.Tech students is 95% in different engineering institutes of India”. The given statement of analyst is based on which kind of statistical analysis?

Descriptive Statistics

Inferential Statistics

3. Is the conclusion of this study made by analyst on the basis of chosen sample reliable?

Yes

4.The data of five different types of fertilizers used by farmers of a village is tabulated in Table 1.1.G. Based on the information given, answer the questions (4), (5), (6), (7) and (8).

Which of the following statements is/are true?

Inorganic is a case and Types of Fertilizers is a variable.

Rice is a case.

Manure is a case.

Amount of fertilizers is a variable.

Nitrogen is a variable.

5. What is the scale of measurement of “Types of Crops”?

Ordinal Scale

Nominal Scale

Interval Scale

Ratio Scale

6. What kind of variable is “Area of fields”?(More than one option can be correct)

Categorical

Numerical

Discrete

Continuous

7. What is the scale of measurement of “Amount of Fertilizers”?

Ordinal Scale

Nominal Scale

Interval Scale

Ratio Scale

8. Is the data given in Table 1.1.G structured or unstructured?

The data is structured

The data is unstructured

9. The data of Netflix subscribers at the end of year 2020 across different Asian countries is recorded. Based on this, choose the correct option:

It is time series data

It is cross-sectional data

10. Choose the incorrect statement(s):

Stock price of Titan is numeric and continuous variable.

Number of assignments submitted by a student has an interval scale of measurement.

Soccer positions (i.e. Defender, Midfielder, Forward) has an ordinal scale of measurement.

The education level of a person has a nominal scale of measurement.

Week 1 Graded Solutions

CT Week 1 Graded Assignments IIT Madras

Khushi Dii — Wed, 09 Aug 2023 07:01:55 +0000

Computational Thinking week 1 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

What will be the values of A, B and C after execution of the following procedure using the “Scores” dataset?

Step 1: Arrange all cards in a single pile called Pile 1

Step 2: Maintain three variables A, B, C and initialize them to 0

Step 3: If Pile 1 is empty then stop the iteration

Step 4: Read the top card in Pile 1

Step 5: If Mathematics < 50 then increment A

Step 6: If Physics < 50 then increment B

Step 7: If Chemistry < 50 then increment C

Step 8: Move the current card to another pile called Pile 2 and repeat from step 3

The value of A is 2
The value of B is 1
The value of C is 1

4.What will variable B represent after execution of the following procedure on the “Words” dataset?

Step 1: Arrange all cards in a single pile called Pile 1
Step 2: Maintain two variables A, B and initialize them to 0
Step 3: If Pile 1 is empty then stop the iteration
Step 4: Read the top card in Pile 1
Step 5: If PartOfSpeech is “Verb” then increment A
Step 6: If the word does not end with a full stop then execute Step 9
Step 7: If the word ends with a full stop and A is greater than 1 then increment B
Step 8: Reset the variable A to 0
Step 9: Move the current card to another pile called Pile 2 and repeat from Step 3

Total number of verbs in the dataset

Total number of sentences with only one verb in it

Total number of sentences with at least two verbs in it

Total number of sentences with at least one verbs in it

5. A student proposed a hypothesis that less number of students are born in the first half of the year than the second half of the year. She wrote the following procedure which uses the “Scores” dataset to verify the hypothesis. However, the procedure may contain some errors. Find out the errors if present.

Step 1: Arrange all cards in a single pile called Pile 1
Step 2: Maintain two variables A and B and initialize them to 0
Step 3: If Pile 1 is empty then stop the iteration and start from Step 8
Step 4: Read the top card in Pile 1
Step 5: If the Date of Birth is from 1st January to 30th June then increment A
Step 6: If the Date of Birth is from 1st July to 31st December then increment B
Step 7: Move the current card to another pile called Pile 2 and repeat from Step 3
Step 8: If A > B then declare the hypothesis to be True
Step 9: If A ≤ B then declare the hypothesis to be False

Step 5 to increment A is incorrect

Step 6 to increment B is incorrect

Step 8 to declare the hypothesis as True is incorrect

Step 9 to declare the hypothesis as False is incorrect

The procedure is free of errors

6. What will variable X represent after execution of the following procedure on the “Shopping Bills” dataset?

Step 1: Arrange all cards in a single pile called Pile 1
Step 2: Maintain four variables A, B, C, X and initialize them to 0
Step 3: If Pile 1 is empty then stop the iteration and start from Step 9
Step 4: Read the top card in Pile 1
Step 5: If the Shop name is “SV Stores” and Customer name is “Suresh” then set A equal to 1
Step 6: If the Shop name is “Big Bazaar” and Customer name is “Suresh” then set B equal to 1
Step 7: If the Shop name is “Sun General” and Customer name is “Suresh” then set C equal to 1
Step 8: Move the current card to another pile called Pile 2 and repeat from Step 3
Step 9: Update the value of X as X = A + B + C

Number of distinct stores Suresh has visited

Number of distinct stores Suresh never visited

Numbers of times Suresh has visited Sun General

Numbers of bills in the dataset belong to Suresh

7. The following procedure is executed using the “Olympics” dataset.

Step 1: Arrange all cards in a single pile called Pile 1
Step 2: Maintain a variable X and initialize it to True
Step 3: If Pile 1 is empty then stop the iteration
Step 4: Read the top card in Pile 1
Step 5: If the Gender is “F” and Nationality is “Korean” then set X equal to False
Step 6: Move the current card to another pile called Pile 2 and repeat from step 3

At the end of the execution, X will be True if

there exist at least one female player who is not from Korea

there exist at least one female player who is from Korea

all the female players are from countries other than Korea

all the female players are from Korea only

8. The following procedure is executed using the “Library” dataset. At the end of the execution, count stores the number of books written by “Shakespeare” and published in “Morning Star” publications. But the programmer may have made mistakes in one or more steps. Identify all such steps (if any). It is a Multiple Select Question (MSQ).

Step 1: Arrange all cards in a single pile called Pile 1
Step 2: Maintain a variable count and initialize it to 1
Step 3: If Pile 1 is empty then stop the iteration
Step 4: Read the top card in Pile 1
Step 5: If Author == “Shakespeare” or Publisher == “Morning Star” then increment count
Step 6: Move the current card to another pile called Pile 2 and repeat from step 3

Step 2: Incorrect initialization of the variable count

Step 3: Incorrect step for stopping the iteration

Step 5: Incorrect condition to update count

Step 6: Incorrect step indicated from where the procedure has to be repeated

9. The following procedure is executed using the “Olympics” dataset. At the end of the execution, count stores the number of Indian players who have won a “Gold” medal. But the programmer has missed few Steps. Identify all correct Steps.

Step 1: Arrange all cards in a single pile called Pile 1
Step 2: Maintain a variable count and initialize it to 0
Step 3:
Step 4: Read the top card in Pile 1
Step 5: _
Step 6: Move the current card to another pile called Pile 2 and repeat from Step 3

Step 3: If Pile 1 is empty move to Pile 2
Step 5: If HostCountry == “Indian” or Medal == “Gold” then increment count

Step 3: If Pile 1 is empty then stop the iteration
Step 5: If Nationality == “Indian” or Medal == “Gold” then increment count

Step 3: If Pile 1 is empty move to Pile 2
Step 5: If Nationality == “Indian” or Medal == “Gold” then increment count

Step 3: If Pile 1 is empty then stop the iteration
Step 5: If Nationality == “Indian” and Medal == “Gold” then increment count

Step 3: If Pile 1 is empty then stop the iteration
Step 5: If HostCountry == “Indian” and Medal == “Gold” then increment count

Detailed Answers

Solution
1,2,3 In this question we have to find exact values of three variables A, B and C. So, let us start with the procedure. Here in step 2 we have declared three variables A, B, C and also initialized them to 0. In step 5, variable A is getting incremented if Mathematics marks of a student is less than 50 which means we are counting the number of students who have secured less than 50 marks in Mathematics. In step 6, variable B
is getting incremented if Physics marks of a student is less than 50 which means we are counting the number of students who have secured less than 50 marks in Physics. In step 7 we are checking for the students whose Chemistry marks are less than 50 which means variable C is counting the number of students who secured less than 50 marks in Chemistry. It is a repeat step which indicates that this procedure is getting executed on all the cards available in the dataset. Therefore, if we compile all the Mathematics, Physics and Chemistry marks from the dataset

4. Let us analyze the given procedure, in Step 2 two variables A and B are initialized to 0. In Step 5 variable A is getting incremented if PartOfSpeech is “Verb” which means variable A is counting number of Verbs. Conditions in Steps 6 and 7 are exactly opposite to each other. As per the combination of Steps 6 and 9 we are counting nouns with variable A until we reach to a full stop. In other words, we are counting number of
Verbs in each sentence. As per Step 7 if a sentence ends and Verb count in variable A is greater than 1 then we are incrementing variable B. Step 8 resets the value of variable A so that the same variable can be used
to count number of Verbs in the next sentence. Based on this analysis we can conclude that the variable B gets incremented only if variable A’s value is greater than 1 which means if A is 2 or more. Hence, the
answer of this question is Total number of sentences with at least two verbs in it.

5. In Step 1 cards are arranged into a single pile and which is called as Pile 1. In Step 2 we are creating two variables called A and B then assigning the value 0 to them. Step 3 checks whether the iteration has to be continued or not. If the pile 1 is empty then the iteration has to be stopped. In Step 4, the top card of the Pile 1 is taken and read. Now, one has to count the number of people who are born in the first half of the
year and who are born in the second half of the year. In Step 5, we increment A if a student is born from 1st January to 30th June. In Step 6, we increment B if a student is born from 1st July to 31st December. In Step 7, the current card is moved to another called Pile 2 and the procedures are repeated from Step 3. After reading all cards, variables A and B will store the number of students whose Date Of Birth are in the first and
the second half of the year respectively. So to verify the hypothesis, the values of A and B should be compared with each other. If the value of A is less than B it will confirm the hypothesis to be True and if the
value of A is greater than or equal to B it will confirm the hypothesis to be False. Hence, Step 8 and 9 are incorrect. The correct answers are (c) and (d).

6,7. Variables A, B, C, and X are initialized to 0 in Step 2. In Step 5 variable A’s value will be set to 1 if “Suresh” has a shopping bill from “SV stores”. Similarly, in Step 6 variable B’s value will be set to 1 if he has a bill from
“Big Bazaar” and variable C’s value for “Sun General” in Step 7. In Step 9 value of X is updated to with sum of A, B and C. Values of variables A, B and C either 1 or 0 based on the information if “Suresh” has visited the corresponding shop or not. Therefore, X will store the number of distinct shops visited by Suresh.

Week 1 Graded Solutions

Maths Week 1 Graded Assignments IIT Madras

Khushi Dii — Wed, 09 Aug 2023 02:44:28 +0000

Maths week 1 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

Week 1 Graded Assignments – Students Community

Maths Week 2 Graded Assignments IIT Madras

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

No, the answer is incorrect.Score: 0

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Yes, the answer is correct.Score: 1

Accepted Answers:

Statistics Week 1 Graded Assignments IIT Madras

CT Week 1 Graded Assignments IIT Madras

What will be the values of A, B and C after execution of the following procedure using the “Scores” dataset?

Step 1: Arrange all cards in a single pile called Pile 1

Step 2: Maintain three variables A, B, C and initialize them to 0

Step 3: If Pile 1 is empty then stop the iteration

Step 4: Read the top card in Pile 1

Step 5: If Mathematics < 50 then increment A

Step 6: If Physics < 50 then increment B

Step 7: If Chemistry < 50 then increment C

Step 8: Move the current card to another pile called Pile 2 and repeat from step 3

4.What will variable B represent after execution of the following procedure on the “Words” dataset?

6. What will variable X represent after execution of the following procedure on the “Shopping Bills” dataset?

7. The following procedure is executed using the “Olympics” dataset.

9. The following procedure is executed using the “Olympics” dataset. At the end of the execution, count stores the number of Indian players who have won a “Gold” medal. But the programmer has missed few Steps. Identify all correct Steps.

Step 3: If Pile 1 is empty then stop the iterationStep 5: If Nationality == “Indian” and Medal == “Gold” then increment count

Detailed Answers

Maths Week 1 Graded Assignments IIT Madras

1) Which of the following are irrational numbers?

2) Consider the following sets:

2. a-iii, b-i, c-iv, d-ii

Correct Option :- D

Correct Option :- A And D

Correct Option :- 12

Correct Option :- 9.0

Correct Option :- 5

Correct Option :- C And D

Correct Option :- D

Correct Option :- C

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

No, the answer is incorrect.
Score: 0

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Yes, the answer is correct.
Score: 1

Step 3: If Pile 1 is empty then stop the iteration
Step 5: If Nationality == “Indian” and Medal == “Gold” then increment count