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September 2022 term · Mathematics for Data Science I · BSMA1001

Maths 1 Quiz 1: 16 October 2022, Set QPB1 (September 2022 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 16 Oct 2022, in the September 2022 term, set QPB1: 13 questions for 42 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
13
Marks
42
Duration
120 min
Numerical
7
MSQ
4
MCQ
2
Take as mock testPractise with answers

Updated

Official paper: IIT M QUIZ 1 FOUNDATION DIPLOMA QPC3 16 Oct 2022 · No negative marking.

Question 1

+2 marksNumerical answer

Enter the value of b + c + d?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: -30

Question 1 on its own page

Question 2

+2 marksNumerical answer

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

Show answer

Correct answer: -9

Question 2 on its own page

Question 3

+3 marksOne or more correct options

Choose the set of correct option(s)

Select all that apply.

  1. A

    The axis of symmetry of p(x) is x = −3.

  2. B

    The slopes of both p(x) and q(x) are same at (0,−27).

  3. C

    The slope of p(x) is 6 but the slope q(x) is -6 at (0,−27).

  4. D

    The discriminant of both the quadratic equations p(x) = 0 and q(x) = 0 are same

Show answer

Correct answers

  • A

    The axis of symmetry of p(x) is x = −3.

  • C

    The slope of p(x) is 6 but the slope q(x) is -6 at (0,−27).

  • D

    The discriminant of both the quadratic equations p(x) = 0 and q(x) = 0 are same

Question 3 on its own page

Question 4

+2 marksNumerical answer

How many times did Ritwik score exactly 40?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 2

Question 4 on its own page

Question 5

+3 marksNumerical answer

In total, how many mock tests did Ritwik pass?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 6

Question 5 on its own page

Question 6

+2 marksOne correct option

State ’True’ or ’False’ : R6 does not match with any type of relations given in Column B.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 6 on its own page

Question 7

+2 marksOne correct option

State ’True’ or ’False’ : R1 matches with all type of relations except anti-symmetric relation given in Column B.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 7 on its own page

Question 8

+3 marksNumerical answer

In total, how many relations given in Column A matches with transitive relation?
NOTE: Enter your answer to the nearest integer.

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Correct answer: 5

Question 8 on its own page

Question 9

+2 marksNumerical answer

In total, how many relations given in Column A matches with reflexive relation?
NOTE: Enter your answer to the nearest integer.

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Correct answer: 2

Question 9 on its own page

Question 10

+5 marksOne or more correct options

Select all that apply.

  1. A

    R1 ∩ R2 represents an injective function.

  2. B

    R2 represents a relation but not a function.

  3. C

    R1 represents a function.

  4. D

    R2 represents a function

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Correct answers

  • B

    R2 represents a relation but not a function.

  • C

    R1 represents a function.

Question 10 on its own page

Question 11

+5 marksNumerical answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 4

Question 11 on its own page

Question 12

+3 marksOne or more correct options

Select all that apply.

  1. A

    (1/2, 1/2)

  2. B

    (1/3, 1/3)

  3. C

    (2/3, 2/3)

  4. D

    (1/3, 2/3)

Show answer

Correct answer

  • C

    (2/3, 2/3)

Question 12 on its own page

Question 13

+3 marksOne or more correct options

Select all that apply.

  1. A

    9

  2. B

    2

  3. C

    0

  4. D

    -2

Show answer

Correct answer

  • A

    9

Question 13 on its own page