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May 2022 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Quiz 1: 5 June 2022 (May 2022 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 5 Jun 2022, in the May 2022 term: 16 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
16
Marks
50
Duration
120 min
MSQ
7
Numerical
9

Updated

Official paper: IIT M FOUNDATION QUIZ1 EXAM QPB1 05 Jun 2022 · No negative marking.

Question 1

+5 marksOne or more correct options

Select all that apply.

  1. A

    R is neither reflexive, nor symmetric and nor transitive.

  2. B

    R is an anti-symmetric relation.

  3. C

    R is an identity relation.

  4. D

    R is an equivalence relation.

Show answer

Correct answers

  • A

    R is neither reflexive, nor symmetric and nor transitive.

  • B

    R is an anti-symmetric relation.

Question 2

+5 marksOne or more correct options

Select all that apply.

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

Correct answers

  • B
  • C
  • D

Question 3

+3 marksNumerical answer

In a survey of 500 people, it was found that 49% liked to watch comedy movies, 53% liked thriller movies, and 62% liked romantic movies. Also, 27% liked to watch both comedy and thriller, 29% liked to watch both thriller and romantic, and 28% liked watching both comedy and romantic. 5% liked none of the above genres. Based on this information, answer the given sub-questions.

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

Show answer

Correct answer: 75

Question 4

+3 marksNumerical answer

In a survey of 500 people, it was found that 49% liked to watch comedy movies, 53% liked thriller movies, and 62% liked romantic movies. Also, 27% liked to watch both comedy and thriller, 29% liked to watch both thriller and romantic, and 28% liked watching both comedy and romantic. 5% liked none of the above genres. Based on this information, answer the given sub-questions.

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

Show answer

Correct answer: 205

Question 5

+3 marksNumerical answer

In a survey of 500 people, it was found that 49% liked to watch comedy movies, 53% liked thriller movies, and 62% liked romantic movies. Also, 27% liked to watch both comedy and thriller, 29% liked to watch both thriller and romantic, and 28% liked watching both comedy and romantic. 5% liked none of the above genres. Based on this information, answer the given sub-questions.

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

Show answer

Correct answer: 270

Question 6

+1 markNumerical answer

Enter the x−coordinate of the vertex of q(x).
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 5

Question 7

+1 markNumerical answer

Enter the y−coordinate of the vertex of q(x).
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: -18

Question 8

+3 marksNumerical answer

Enter the value of a.
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: -2

Question 9

+3 marksOne or more correct options

Choose the set of correct option(s)

Select all that apply.

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

Correct answers

  • A
  • B
  • D

Question 10

+2 marksNumerical answer

In total how many places can they meet?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 5

Question 11

+4 marksOne or more correct options

Sonia and Henna want to solve a quadratic equation. Sonia made a mistake in writing down the constant term and ended up in roots 3 and 4. Henna made a mistake in writing down the coefficient of x and got the roots 2 and 3. Consider the leading coefficient to be 1 in all cases. The correct roots of the equation are:

Select all that apply.

  1. A

    1 and 6

  2. B

    2 and 6

  3. C

    1 and 4

  4. D

    2 and 4

Show answer

Correct answer

  • A

    1 and 6

Question 12

+5 marksNumerical answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 5

Question 13

+2 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • B
  • C

Question 14

+3 marksOne or more correct options

Choose the correct option(s) from the following.

Select all that apply.

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

Correct answers

  • A
  • C
  • D

Question 15

+3 marksOne or more correct options

The equation of the diagonal that does not pass through the origin is

Select all that apply.

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

Correct answers

  • C
  • D

Question 16

+4 marksNumerical answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 7