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January 2022 term · Mathematics for Data Science I · BSMA1001

Maths 1 Quiz 1: 30 January 2022, Set QPB2 (January 2022 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 30 Jan 2022, in the January 2022 term, set QPB2: 17 questions for 50 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
17
Marks
50
Duration
120 min
MSQ
8
Numerical
9

Updated

Official paper: IIT M FOUNDATION QUIZ EXAM QPB2 30 Jan 2022 · No negative marking.

Question 1

+3 marksOne or more correct options

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • D

Question 2

+3 marksOne or more correct options

Select all that apply.

  1. A

    a function

  2. B

    reflexive

  3. C

    transitive

  4. D

    symmetric

Show answer

Correct answer

  • C

    transitive

Question 3

+4 marksOne or more correct options

Which of the following statements is (are) correct?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • B
  • C

Question 4

+4 marksOne or more correct options

Select all that apply.

  1. A

    True

  2. B

    False

  3. C

    Data insufficient

  4. D

    None of these

Show answer

Correct answer

  • B

    False

Question 5

+3 marksNumerical answer

How many people actually contributed in group A?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 10

Question 6

+1 markNumerical answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 20

Question 7

+2 marksOne or more correct options

Which of the following could be the value of k?

Select all that apply.

  1. A

    4

  2. B

    −5

  3. C

    10

  4. D

    −10

Show answer

Correct answer

  • A

    4

Question 8

+2 marksNumerical answer

Find the possible number of values of k?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 1

Question 9

+3 marksOne or more correct options

Which of the following options are correct w.r.t triangle ABC?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • B
  • D

Question 10

+3 marksOne or more correct options

Which of the following options represents the equation of the line AC?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • D

Question 11

+4 marksOne or more correct options

Which of the following are correct?

Select all that apply.

  1. A

    The x−intercept of p(x) in the given domain is 5.

  2. B

    In the given domain p(x) is not injective.

  3. C

    The x−coordinate of the vertex of q(x) is 5.5.

  4. D

    The x−coordinate of the intersection point of p(x) and q(x) is 9.

Show answer

Correct answers

  • A

    The x−intercept of p(x) in the given domain is 5.

  • B

    In the given domain p(x) is not injective.

  • C

    The x−coordinate of the vertex of q(x) is 5.5.

  • D

    The x−coordinate of the intersection point of p(x) and q(x) is 9.

Question 12

+2 marksNumerical answer

What is the slope of the line l(x)?
NOTE: Enter your answer in one decimal place.

Show answer

Correct answer: -0.8

Question 13

+4 marksNumerical answer

Using the given information, find the value of 2k.
NOTE: Enter your answer to the nearest integer.

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Correct answer: 30

Question 14

+3 marksNumerical answer

Using the given information, what will be the value of (x + 2y) where x and y are coordinates of the point A?
NOTE: Enter your answer to the nearest integer.

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Correct answer: 25

Question 15

+3 marksNumerical answer

For the purposes of a research, a survey of 2000 students is conducted in a IITM BSc Degree Program. The results show that 52% liked CT, 45% liked Statistics and 60% liked Mathematics. In addition, 25% liked both CT and Statistics, 28% liked both Mathematics and Statistics and 30% liked both CT and Mathematics. 6% liked none of these subjects. Based on this information answer the given subquestions

How many students like all the three subjects?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 400

Question 16

+3 marksNumerical answer

For the purposes of a research, a survey of 2000 students is conducted in a IITM BSc Degree Program. The results show that 52% liked CT, 45% liked Statistics and 60% liked Mathematics. In addition, 25% liked both CT and Statistics, 28% liked both Mathematics and Statistics and 30% liked both CT and Mathematics. 6% liked none of these subjects. Based on this information answer the given subquestions

Find the number of students who like only one of the three subjects.
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 1020

Question 17

+3 marksNumerical answer

For the purposes of a research, a survey of 2000 students is conducted in a IITM BSc Degree Program. The results show that 52% liked CT, 45% liked Statistics and 60% liked Mathematics. In addition, 25% liked both CT and Statistics, 28% liked both Mathematics and Statistics and 30% liked both CT and Mathematics. 6% liked none of these subjects. Based on this information answer the given subquestions

Find the number of students who like at least two of the given subjects.
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 860