Figure from the original question paper

(A) Both the statements S1 and S2 are true.

(D) Both the statements are false.

Figure from the original question paper

(A) Both the statements S1 and S2 are true.

(D) Both the statements are false.

Figure from the original question paper

(B) S1 holds if and only if S2 holds.

(A) Neither of the two statements implies the other.

(C) S1 implies S2, but S2 does not imply S1.

(D) S2 implies S1, but S1 does not imply S2.

Figure from the original question paper

(C) S1 implies S2, but S2 does not imply S1.

(A) Neither of the two statements implies the other.

(B) S1 holds if and only if S2 holds.

(D) S2 implies S1, but S1 does not imply S2.

Figure from the original question paper

(A) Figure from the original question paper

Based on the above data, answer the given subquestions. Based on the above data, answer the given subquestions. Choose all the correct answers.

(B) Figure from the original question paper

(C) Figure from the original question paper

(A) Figure from the original question paper

(D) Figure from the original question paper

Based on the above data, answer the given subquestions. Based on the above data, answer the given subquestions. Choose all the correct answers.

(A) Figure from the original question paper

(B) Figure from the original question paper

(C) Figure from the original question paper

(D) Figure from the original question paper

September 2025 term · Mathematics for Data Science II · BSMA1003

Mathematics for Data Science II End Term: 21 December 2025 (September 2025 term)

The IIT Madras BS Mathematics for Data Science II (Maths 2) End Term paper sat on 21 Dec 2025, in the September 2025 term: 44 questions for 208 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions: 44
Marks: 208
Duration: 180 min
MCQ: 8
MSQ: 8
Written: 28

Take as mock test Practise with answers

Updated 14 Sept 2026

Official paper: Maths2 18 Dec 25 · No negative marking.

Question 1

+5 marksOne correct option

A
—
B
—
C
—
D
—

Show answer

Correct answer

D
—

Question 1 on its own page

Question 2

+5 marksOne correct option

A
—
B
—
C
—
D
—

Show answer

Correct answer

D
—

Question 2 on its own page

Question 3

+5 marksOne correct option

A
Both the statements S1 and S2 are true.
B
Only statement S1 is true.
C
Only statement S2 is true.
D
Both the statements are false.

Show answer

Correct answer

C
Only statement S2 is true.

Question 3 on its own page

Question 4

+5 marksOne correct option

A
Both the statements S1 and S2 are true.
B
Only statement S1 is true.
C
Only statement S2 is true.
D
Both the statements are false.

Show answer

Correct answer

C
Only statement S2 is true.

Question 4 on its own page

Question 5

+5 marksOne correct option

A
Neither of the two statements implies the other.
B
S1 holds if and only if S2 holds.
C
S1 implies S2, but S2 does not imply S1.
D
S2 implies S1, but S1 does not imply S2.

Show answer

Correct answer

B
S1 holds if and only if S2 holds.

Question 5 on its own page

Question 6

+5 marksOne correct option

A
Neither of the two statements implies the other.
B
S1 holds if and only if S2 holds.
C
S1 implies S2, but S2 does not imply S1.
D
S2 implies S1, but S1 does not imply S2.

Show answer

Correct answer

C
S1 implies S2, but S2 does not imply S1.

Question 6 on its own page

Question 7

+8 marksOne or more correct options

Choose the set of correct options.

Select all that apply.

A
—
B
—
C
D
E

Show answer

Correct answers

B
—
D

Question 7 on its own page

Question 8

+8 marksOne or more correct options

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A
B
—
C
—
D
—
E
—

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A
B
—
D
—

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Question 9

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Question 10

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Question 11

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Question 12

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Question 13

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Question 14

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Question 15

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Question 16

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Question 17

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Question 18

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Question 19

+7 marksOne or more correct options

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Question 20

+7 marksOne or more correct options

Based on the above data, answer the given subquestions.

Select all that apply.

A
—
B
—
C
—
D
—

Show answer

Correct answers

B
—
C
—

Question 20 on its own page

Question 21

+5 marksOne correct option

Based on the above data, answer the given subquestions.

Which of the following is true for the given function ?

A
is not continuous.
B
is continuous but all directional derivatives do not exist at all points.
C
is continuous and the directional derivatives exist at all points, but f is not differentiable.
D
is a differentiable function.

Show answer

Correct answer

D
is a differentiable function.

Question 21 on its own page

Question 22

+5 marksOne correct option

Based on the above data, answer the given subquestions.

A
Neither of the two statements implies the other.
B
S1 holds if and only if S2 holds.
C
S1 implies S2, but S2 does not imply S1.
D
S2 implies S1, but S1 does not imply S2.

Show answer

Correct answer

B
S1 holds if and only if S2 holds.

Question 22 on its own page

Question 23

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Choose all the correct answers.

Select all that apply.

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Question 23 on its own page

Question 24

+7 marksOne or more correct options

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Question 25

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Question 26

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Question 27

+8 marksOne or more correct options

Based on the above data, answer the given subquestions.

Select all that apply.

A
The point (1, 0, 3) lies on (0,0)(1, 0).
B
The point (0, 1, 0) lies on (0,0)(0, 1).
C
The point (1, 0, 4) lies on (0,0)(1, 0).
D
The point (0, 1, 1) lies on (0,0)(0, 1).
E
The point (0, 0, 1) lies on every tangent line to the graph of f at (0, 0).

Show answer

Correct answers

C
The point (1, 0, 4) lies on (0,0)(1, 0).
D
The point (0, 1, 1) lies on (0,0)(0, 1).
E
The point (0, 0, 1) lies on every tangent line to the graph of f at (0, 0).

Question 27 on its own page

Question 28

+8 marksOne or more correct options

Based on the above data, answer the given subquestions

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A
—
B
C
—
D
E

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Correct answers

B
C
—
E

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Question 29

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Question 30

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Question 37

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