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May 2024 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Quiz 2: 4 August 2024 (May 2024 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 2 paper sat on 4 Aug 2024, in the May 2024 term: 18 questions for 40 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
18
Marks
40
Duration
120 min
MCQ
8
MSQ
2
Numerical
8
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA AN EXAM QDD2 4 Aug 2024 · No negative marking.

Question 1

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

Correct answer

  • D
Question 1 on its own page

Question 2

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

Correct answer

  • A
Question 2 on its own page

Question 3

+3 marksOne or more correct options

Choose the set of correct options.

Select all that apply.

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

Correct answers

  • C
  • D
Question 3 on its own page

Question 4

+3 marksOne or more correct options

Consider the graphs given below:

Choose the set of correct options:

Select all that apply.

  1. A

    There are at least two points between -4 and 4, 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 point (−2, 0) are equal.

  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 between -4 and 4, 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 4 on its own page

Question 5

+2 marksNumerical answer
Show answer

Correct answer: 9

Question 5 on its own page

Question 6

+3 marksNumerical answer
Show answer

Correct answer: -2

Question 6 on its own page

Question 7

+2 marksOne correct option

Consider the function :

f(x)={[x+1]−3≤x<00x=0{x+1}0<x≤3f(x) = \begin{cases} [x+1] & -3 \leq x < 0 \\ 0 & x = 0 \\ \{x+1\} & 0 < x \leq 3 \end{cases}

Hint: [.][.] is the greatest integer function (floor function). e.g., [−1.32]=−2[-1.32] = -2, [1.32]=1[1.32] = 1, [5]=5[5] = 5. Similarly, {.}\{.\} is the fractional part function, e.g., {1.32}=0.32\{1.32\} = 0.32, {5}=0\{5\} = 0.

Based on the above data, answer the given subquestions.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 7 on its own page

Question 8

+2 marksOne correct option

Consider the function :

f(x)={[x+1]−3≤x<00x=0{x+1}0<x≤3f(x) = \begin{cases} [x+1] & -3 \leq x < 0 \\ 0 & x = 0 \\ \{x+1\} & 0 < x \leq 3 \end{cases}

Hint: [.][.] is the greatest integer function (floor function). e.g., [−1.32]=−2[-1.32] = -2, [1.32]=1[1.32] = 1, [5]=5[5] = 5. Similarly, {.}\{.\} is the fractional part function, e.g., {1.32}=0.32\{1.32\} = 0.32, {5}=0\{5\} = 0.

Based on the above data, answer the given subquestions.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 8 on its own page

Question 9

+2 marksNumerical answer

Consider the function :

f(x)={[x+1]−3≤x<00x=0{x+1}0<x≤3f(x) = \begin{cases} [x+1] & -3 \leq x < 0 \\ 0 & x = 0 \\ \{x+1\} & 0 < x \leq 3 \end{cases}

Hint: [.][.] is the greatest integer function (floor function). e.g., [−1.32]=−2[-1.32] = -2, [1.32]=1[1.32] = 1, [5]=5[5] = 5. Similarly, {.}\{.\} is the fractional part function, e.g., {1.32}=0.32\{1.32\} = 0.32, {5}=0\{5\} = 0.

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 5

Question 9 on its own page

Question 10

+2 marksOne correct option

Based on the above data, answer the given subquestions.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 10 on its own page

Question 11

+2 marksOne correct option

Based on the above data, answer the given subquestions.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 11 on its own page

Question 12

+2 marksOne correct option

Based on the above data, answer the given subquestions.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 12 on its own page

Question 13

+2 marksNumerical answer

Answer the given subquestions.

Calculate the limit of the following function :

Show answer

Correct answer: 4

Question 13 on its own page

Question 14

+2 marksNumerical answer

Answer the given subquestions.

Calculate the limit of the following function :

Show answer

Correct answer: 1

Question 14 on its own page

Question 15

+2 marksNumerical answer

Answer the given subquestions .

Find the limit of the following sequence.

Show answer

Correct answer: 1

Question 15 on its own page

Question 16

+2 marksNumerical answer

Answer the given subquestions .

Find the limit of the following sequence.

Show answer

Correct answer: 0

Question 16 on its own page

Question 17

+2 marksOne correct option

Answer the given sub-questions.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 17 on its own page

Question 18

+2 marksNumerical answer

Answer the given sub-questions.

Show answer

Correct answer: 2

Question 18 on its own page