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January 2026 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Quiz 1: 15 March 2026 (January 2026 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 15 Mar 2026, in the January 2026 term: 13 questions for 51 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
51
Duration
120 min
MCQ
4
Written
5
MSQ
4
Take as mock testPractise with answers

Updated

Official paper: Maths1 15 Mar 26 · No negative marking.

Question 1

+1 markOne correct option
Figure from the original question paper
  1. A

    Instructions has been mentioned above.

  2. B

    This Instructions is just for a reference & not for an evaluation.

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Correct answer

  • A

    Instructions has been mentioned above.

Question 1 on its own page

Question 2

+5 marksWritten answer
Figure from the original question paper
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A written answer, not marked automatically.

Question 2 on its own page

Question 3

+4 marksOne correct option
Figure from the original question paper
  1. A

    a function

  2. B

    reflexive

  3. C

    transitive

  4. D

    symmetric

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Correct answer

  • C

    transitive

Question 3 on its own page

Question 4

+4 marksOne or more correct options

Which of the following options is/are true?

Select all that apply.

  1. A

    If and are the -intercept and -intercept of the line , respectively, then .

  2. B

    The -intercept of a line is the perpendicular distance of the line from the origin.

  3. C

    The lines and are perpendicular to each other.

  4. D

    The distance between the two parallel lines and is .

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Correct answers

  • C

    The lines and are perpendicular to each other.

  • D

    The distance between the two parallel lines and is .

Question 4 on its own page

Question 5

+4 marksOne or more correct options

Consider the polynomial , where and . Suppose is the smallest root of . From the options below, choose the conditions that ensure that is strictly decreasing in .

Select all that apply.

  1. A

    is odd and .

  2. B

    is odd and .

  3. C

    is even and .

  4. D

    is even and .

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Correct answers

  • B

    is odd and .

  • C

    is even and .

Question 5 on its own page

Question 6

+4 marksOne correct option

Consider two polynomials and . Which of the following options is/are true?

  1. A

    as .

  2. B

    as .

  3. C

    has at most 5 turning points.

  4. D

    has at most 5 turning points.

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Correct answer

  • A

    as .

Question 6 on its own page

Question 7

+3 marksWritten answer
Figure from the original question paper
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Question 8

+4 marksOne correct option
Figure from the original question paper
  1. A

    —

  2. B

    —

  3. C

    —

  4. D

    —

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Correct answer

  • A

    —

Question 8 on its own page

Question 9

+4 marksWritten answer
Figure from the original question paper
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Question 10

+4 marksWritten answer

If the product of two consecutive positive integers is 182, find the smaller of the two of them.

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Question 11

+4 marksWritten answer
Figure from the original question paper
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Question 12

+5 marksOne or more correct options
Figure from the original question paper

Select all that apply.

  1. A

    The quadratic equations and both have two distinct real roots if and only if lies between and .

    The quadratic equations and both have two distinct real roots if and only if lies between and .
  2. B

    The quadratic equations and both have two distinct real roots if and only if lies between and .

    The quadratic equations and both have two distinct real roots if and only if lies between and .
  3. C

    The vertex of corresponds to the maximum of the function .

  4. D

    The vertex of corresponds to the maximum of the function .

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Correct answers

  • A

    The quadratic equations and both have two distinct real roots if and only if lies between and .

    The quadratic equations and both have two distinct real roots if and only if lies between and .
  • D

    The vertex of corresponds to the maximum of the function .

Question 12 on its own page

Question 13

+5 marksOne or more correct options

Consider the polynomial function . Choose the set of correct options.

Select all that apply.

  1. A

    is strictly decreasing when .

  2. B

    Total number of turning points of are .

  3. C

    is strictly increasing when .

  4. D

    There are exactly points on where the slope of the tangent is .

Show answer

Correct answers

  • A

    is strictly decreasing when .

  • B

    Total number of turning points of are .

Question 13 on its own page