Answer the given subquestions. Figure from the original question paper

(B) Option figure from the original question paper

(A) Option figure from the original question paper

(C) Option figure from the original question paper

(D) Option figure from the original question paper

Figure from the original question paper

(A) Option figure from the original question paper

(C) Option figure from the original question paper

(E) Option figure from the original question paper

(B) Option figure from the original question paper

(D) Option figure from the original question paper

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

(D) Option figure from the original question paper

Consider the tables 1 and 2 below consisting of mathematical statements / questions (Table 'Statement (S)') and answers (Table 'Answer (A)'). Answer the given subquestions based on the tables. Table of statements S1 to S5 and table of answers A1 to A4 Consider the possible mapping between the columns 'Statement (S)' and 'Answer (A)'. The labels of each element in S and A are marked by S1-S5 and A1-A4. Which of the following matches are correct?

(A) S1, S2 and S5 are mapped to A1

(C) S1, S2 and S4 are mapped to A1

(E) The mapping from S to A is a function

(B) S3 is mapped to A2 while S4 is mapped to A3

(D) S3 is mapped to A4 and S5 is mapped to A3

Consider the tables 1 and 2 below consisting of mathematical statements / questions (Table 'Statement (S)') and answers (Table 'Answer (A)'). Answer the given subquestions based on the tables. Table of statements S1 to S5 and table of answers A1 to A4 Consider the possible mapping between the columns 'Statement(s)' and 'Answer(A)'. The labels of each element in S and A are marked by S1-S5 and A1-A4. Which one of the following options is correct?

(D) The functional mapping from S to A is neither one-one nor onto

(A) The functional mapping from S to A is one-one but not onto

(B) The functional mapping from S to A is onto but not one-one

(C) The functional mapping from S to A is bijective

(E) None of these: The mapping from S to A is not a function

Triangle MNP with inner triangle QRS on coordinate axes (Figure 1)

(C) Option figure from the original question paper

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(D) Option figure from the original question paper

Figure from the original question paper

(C) Option 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

(E) Option figure from the original question paper

Table of x and y research data (Table 3) with three line fits

(C) Fit3 is a better fit compared to Fit2

(B) Fit2 is a better fit compared to Fit3

(D) Fit1 is better than Fit2 and Fit3 is better than Fit1

May 2022 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Qualifier: 7 August 2022 (May 2022 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Qualifier paper sat on 7 Aug 2022, in the May 2022 term: 12 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: 12
Marks: 50
Duration: 120 min
MCQ: 4
MSQ: 7
Numerical: 1

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M QUALIFIER EXAM QPE 07 Aug 2022 IBA NS · No negative marking.

Question 1

+3 marksOne correct option

Answer the given subquestions.

Show answer

Correct answer

Question 1 on its own page

Question 2

+6 marksOne or more correct options

Answer the given subquestions.

Consider the sets $A, B$ from the previous question and a third set $C = \{x \mid x \in \mathbb{N}, x \text{ is a prime number less than } 10\}$ . Consider the Universe to be $U = \{x \mid x \in \mathbb{N}, x \text{ is less than } 10\}$ . Which of the following options are correct?

Select all that apply.

Show answer

Correct answers

Question 2 on its own page

Question 3

+3 marksOne or more correct options

Select all that apply.

Show answer

Correct answers

Question 3 on its own page

Question 4

+3 marksOne or more correct options

Select all that apply.

Show answer

Correct answers

Question 4 on its own page

Question 5

+3 marksOne or more correct options

An electron moves in an electric field following the path x² = 12y. For any point (a, b) on the path, where b = 2a, a signal is received by Amal. For which of the following coordinates will Amal receive a signal?

Select all that apply.

A
(1, 2)
B
(0, 0)
C
(24, 48)
D
(3, 6)

Show answer

Correct answers

B
(0, 0)
C
(24, 48)

Question 5 on its own page

Question 6

+3 marksNumerical answer

NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 90

Question 6 on its own page

Question 7

+8 marksOne or more correct options

Consider the tables 1 and 2 below consisting of mathematical statements / questions (Table 'Statement (S)') and answers (Table 'Answer (A)'). Answer the given subquestions based on the tables.

Consider the possible mapping between the columns 'Statement (S)' and 'Answer (A)'. The labels of each element in S and A are marked by S1-S5 and A1-A4. Which of the following matches are correct?

Select all that apply.

A
S1, S2 and S5 are mapped to A1
B
S3 is mapped to A2 while S4 is mapped to A3
C
S1, S2 and S4 are mapped to A1
D
S3 is mapped to A4 and S5 is mapped to A3
E
The mapping from S to A is a function

Show answer

Correct answers

A
S1, S2 and S5 are mapped to A1
C
S1, S2 and S4 are mapped to A1
E
The mapping from S to A is a function

Question 7 on its own page

Question 8

+2 marksOne correct option

Consider the tables 1 and 2 below consisting of mathematical statements / questions (Table 'Statement (S)') and answers (Table 'Answer (A)'). Answer the given subquestions based on the tables.

Consider the possible mapping between the columns 'Statement(s)' and 'Answer(A)'. The labels of each element in S and A are marked by S1-S5 and A1-A4. Which one of the following options is correct?

A
The functional mapping from S to A is one-one but not onto
B
The functional mapping from S to A is onto but not one-one
C
The functional mapping from S to A is bijective
D
The functional mapping from S to A is neither one-one nor onto
E
None of these: The mapping from S to A is not a function

Show answer

Correct answer

D
The functional mapping from S to A is neither one-one nor onto

Question 8 on its own page

Question 9

+5 marksOne correct option

Show answer

Correct answer

Question 9 on its own page

Question 10

+4 marksOne or more correct options

Select all that apply.

Show answer

Correct answers

Question 10 on its own page

Question 11

+4 marksOne correct option

Find the value of the constant m for which a particle travelling along the curve y = 2x² − 6x + m touches the X-axis only once.

A
4.5
B
1.5
C
2.5
D
3.5

Show answer

Correct answer

A
4.5

Question 11 on its own page

Question 12

+6 marksOne or more correct options

Select all that apply.

A
Fit1 has the lowest SSE
B
Fit2 is a better fit compared to Fit3
C
Fit3 is a better fit compared to Fit2
D
Fit1 is better than Fit2 and Fit3 is better than Fit1
E
Fit3 is the best fit

Show answer

Correct answers

C
Fit3 is a better fit compared to Fit2
E
Fit3 is the best fit

Question 12 on its own page