Figure from the original question paper

(A) R is neither reflexive nor transitive.

(D) R is an equivalence relation

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

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

Suppose A = {a, b, c, d} is set. Consider the following relations on A. - R_1 = {(a, a), (a, b), (b, c)} - R_2 = {(a, a), (b, b), (c, c), (d, d)} - R_3 = {(a, b), (b, a), (a, a), (c, c)} - R_4 = {(a, b), (b, c), (c, d), (d, a)} Which of the following statement(s) is(are) correct?

(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

(C) The axis of symmetry of f(x) is x = −1.

(B) Y-intercept of the function is -1.

(D) The slope function s(x) is s(x) = 2a(x − 1).

January 2025 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Qualifier: 16 March 2025 (January 2025 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Qualifier paper sat on 16 Mar 2025, in the January 2025 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: 3
MSQ: 4
Numerical: 5

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M QUALIFIER AN EXAM QDQ1 16 Mar 2025 · No negative marking.

Question 1

+4 marksOne correct option

A
R is neither reflexive nor transitive.
B
R is a symmetric relation.
C
R is an identity relation.
D
R is an equivalence relation

Show answer

Correct answer

A
R is neither reflexive nor transitive.

Question 1 on its own page

Question 2

+4 marksOne correct option

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Correct answer

Question 2 on its own page

Question 3

+4 marksOne correct option

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Correct answer

Question 3 on its own page

Question 4

+4 marksOne or more correct options

Suppose $A = \{a, b, c, d\}$ is set. Consider the following relations on $A$ .

$R_1 = \{(a, a), (a, b), (b, c)\}$
$R_2 = \{(a, a), (b, b), (c, c), (d, d)\}$
$R_3 = \{(a, b), (b, a), (a, a), (c, c)\}$
$R_4 = \{(a, b), (b, c), (c, d), (d, a)\}$

Which of the following statement(s) is(are) correct?

Select all that apply.

Show answer

Correct answers

Question 4 on its own page

Question 5

+4 marksOne or more correct options

Which of the following options is/are true?

Select all that apply.

A
If three points in the coordinate plane are not collinear, then the area of the triangle formed by these three points is never zero.
B
Slope of a quadratic function at a point can be zero.
C
A polynomial of degree n have n number of distinct roots.
D
If R is a reflexive relation on a set S, then R is also a transitive relation.

Show answer

Correct answers

A
If three points in the coordinate plane are not collinear, then the area of the triangle formed by these three points is never zero.
B
Slope of a quadratic function at a point can be zero.

Question 5 on its own page

Question 6

+4 marksOne or more correct options

Select all that apply.

A
a < 0
B
Y-intercept of the function is -1.
C
The axis of symmetry of f(x) is x = −1.
D
The slope function s(x) is s(x) = 2a(x − 1).

Show answer

Correct answers

A
a < 0
C
The axis of symmetry of f(x) is x = −1.

Question 6 on its own page

Question 7

+5 marksOne or more correct options

Which among the following functions first increases and then decreases in all the intervals (−4,−3) and (−1, 2) and (5, 6).

Select all that apply.

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Correct answers

Question 7 on its own page

Question 8

+4 marksNumerical answer

In a college of 500 students, 285 took Mathematics, 195 took Statistics, 115 took English, 70 took Mathematics and Statistics, 45 took Mathematics and English, 50 took Statistics and English, and 10 took all three courses. What is the total number of students who took none of these three subjects?

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Correct answer: 60

Question 8 on its own pageAlso asked in Quiz 1 27 Oct 2024

Question 9

+4 marksNumerical answer

Show answer

Correct answer: -9

Question 9 on its own page

Question 10

+4 marksNumerical answer

Show answer

Correct answer: 19

Question 10 on its own page

Question 11

+4 marksNumerical answer

Show answer

Correct answer: 2

Question 11 on its own page

Question 12

+5 marksNumerical answer

You have been closely monitoring your bike's mileage recently. Here is a table showing two rows representing the amount paid for fuel (in currency units) and the corresponding mileage (in Km). Consider $y$ as the amount paid and $x$ as the corresponding mileage in Km. You noted the distance travelled each time the fuel meter falls back to a fixed reference mark and predicted that the best-fit line equation is $y = 4x + 1$ . What will be the value of SSE with respect to the best-fit line?

Table: 1

Amount paid (in currency units)	Distance (in Km)
80	20
60	15
60	16
100	25
58	14

Show answer

Correct answer: 29

Question 12 on its own pageAlso asked in Quiz 1 27 Oct 2024