Figure from the original question paper

(B) Option figure from the original question paper

(C) Option figure from the original question paper

(A) Option figure from the original question paper

(D) Option figure from the original question paper

Figure from the original question paper

(D) Option figure from the original question paper

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(C) Option figure from the original question paper

January 2023 term · Mathematics for Data Science I · BSMA1001

Maths 1 End Term: 30 April 2023, Set QPF1-S1 (January 2023 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) End Term paper sat on 30 Apr 2023, in the January 2023 term, set QPF1-S1: 20 questions for 50 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: 20
Marks: 50
Duration: 180 min
Numerical: 14
MCQ: 3
MSQ: 3

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M FOUNDATION ET1 EXAM QPF1 S2 30 Apr 2023 · No negative marking.

Question 1

+3 marksNumerical answer

Show answer

Correct answer: 3

Question 1 on its own page

Question 2

+3 marksNumerical answer

What is the weight of a minimum cost spanning tree of the given graph ?

Show answer

Correct answer: 22

Question 2 on its own page

Question 3

+2 marksNumerical answer

An undirected graph G has 8 edges. If the degree of each vertex is 2, then find the number of vertices in G.

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Correct answer: 8

Question 3 on its own page

Question 4

+4 marksOne correct option

The DFS (Depth First Search) tree of a graph starting with vertex A is shown below.
Choose the option which might be the original graph.

Show answer

Correct answer

Question 4 on its own page

Question 5

+4 marksOne or more correct options

Select all that apply.

A
ABCDEFGH
B
ABCDEFHG
C
BACDEFGH
D
BACEDFGH

Show answer

Correct answers

B
ABCDEFHG
D
BACEDFGH

Question 5 on its own page

Question 6

+2 marksOne or more correct options

Select all that apply.

Show answer

Correct answers

Question 6 on its own page

Question 7

+1 markNumerical answer

Answer the given subquestions

Show answer

Correct answer: 1

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

+2 marksNumerical answer

Answer the given subquestions

Show answer

Correct answer: 13

Question 9 on its own page

Question 10

+2 marksNumerical answer

Answer the given subquestions

Show answer

Correct answer: 1

Question 10 on its own page

Question 11

+3 marksOne or more correct options

Select all that apply.

A
local minimum at x = −1.
B
local maximum at x = −1.
C
local minimum at x = 1.
D
local maximum at x = 1.

Show answer

Correct answers

B
local maximum at x = −1.
C
local minimum at x = 1.

Question 11 on its own page

Question 12

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the value of f(0)?

Show answer

Correct answer: 1

Question 12 on its own page

Question 13

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the value of f ′(1)?

Show answer

Correct answer: 14

Question 13 on its own page

Question 14

+1 markNumerical answer

Answer the given subquestions

Show answer

Correct answer: 7

Question 14 on its own page

Question 15

+2 marksNumerical answer

Answer the given subquestions

Show answer

Correct answer: 3

Question 15 on its own page

Question 16

+2 marksOne correct option

Answer the given subquestions

A
one-one.
B
onto.
C
neither one-one nor onto.
D
both one-one and onto.

Show answer

Correct answer

C
neither one-one nor onto.

Question 16 on its own page

Question 17

+3 marksOne correct option

Show answer

Correct answer

Question 17 on its own page

Question 18

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the value of a.

Show answer

Correct answer: -2

Question 18 on its own page

Question 19

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Find the sum of roots of p(x).

Show answer

Correct answer: 5

Question 19 on its own page

Question 20

+5 marksNumerical answer

Show answer

Correct answer: -1.5

Question 20 on its own page