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September 2023 term · Mathematics for Data Science I · BSMA1001

Maths 1 Quiz 2: 3 December 2023 (September 2023 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 2 paper sat on 3 Dec 2023, in the September 2023 term: 15 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
15
Marks
50
Duration
120 min
Numerical
9
MCQ
3
MSQ
3
Take as mock testPractise with answers

Updated

Official paper: IIT M FOUNDATION AN2 EXAM QDF2 03 Dec 2023 · No negative marking.

Question 1

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the maximum value of g(x).

Show answer

Correct answer: 81

Question 1 on its own page

Question 2

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the maximum value of h(x).

Show answer

Correct answer: 1

Question 2 on its own page

Question 3

+3 marksNumerical answer

Answer the given subquestions.

Find the following limit.

Show answer

Correct answer: 2

Question 3 on its own page

Question 4

+2 marksNumerical answer

Answer the given subquestions.

Find the following limit.

Show answer

Correct answer: 8

Question 4 on its own page

Question 5

+4 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 5 on its own page

Question 6

+4 marksOne correct option

Choose the set of INCORRECT options.

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

Correct answer

  • A
Question 6 on its own page

Question 7

+4 marksNumerical answer

Answer the given subquestions.

Show answer

Correct answer: 2

Question 7 on its own page

Question 8

+3 marksNumerical answer

Answer the given subquestions.

Show answer

Correct answer: 2

Question 8 on its own page

Question 9

+3 marksNumerical answer

Answer the given subquestions.

Find the limit of the following sequence.

Show answer

Correct answer: 1

Question 9 on its own page

Question 10

+3 marksNumerical answer

Answer the given subquestions.

Find the limit of the following sequence.

Show answer

Correct answer: 0

Question 10 on its own page

Question 11

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • C
Question 11 on its own page

Question 12

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • C
  • D
Question 12 on its own page

Question 13

+3 marksOne or more correct options

Select all that apply.

  1. A

    There are at least two points on Curve 1, where the derivatives of the function corresponding to Curve 1, are equal.

  2. B

    At the origin the derivative of the function corresponding to Curve 2 does not exist.

  3. C

    The derivative of the function corresponding to Curve 3, at the origin and at the point (−2, 0) are the same.

  4. D

    The derivative of the function corresponding to Curve 4 does not exist at any point.

Show answer

Correct answers

  • A

    There are at least two points on Curve 1, where the derivatives of the function corresponding to Curve 1, are equal.

  • B

    At the origin the derivative of the function corresponding to Curve 2 does not exist.

Question 13 on its own page

Question 14

+5 marksNumerical answer
Show answer

Correct answer: 5

Question 14 on its own page

Question 15

+3 marksOne correct option

Let f be a differentiable function such that f (4) = 6 and f ′(4) = −2. What is the approximated value of f (4.2) using the linear approximation of f at x = 4?

  1. A

    5.3

  2. B

    5.4

  3. C

    5.5

  4. D

    5.6

Show answer

Correct answer

  • D

    5.6

Question 15 on its own page