Figure from the original question paper

(A) (6, 14) is an element in R1.

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

Figure from the passage in the original paper Which of the following is (are) correct?

(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 passage in the original paper Which of the following is (are) correct ?

(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 passage in the original paper Which of the following graphs can represent q(x)?

(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 passage in the original paper If x = 2 is a root of q(x), then which of the following options can be the expression for q(x)?

(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

(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

May 2025 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Quiz 1: 13 July 2025, Set QDD2 (May 2025 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 13 Jul 2025, in the May 2025 term, set QDD2: 14 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: 14
Marks: 50
Duration: 120 min
MCQ: 8
Numerical: 4
MSQ: 2

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M IMPROVEMENT AN EXAM QIP3 13 July 2025 · No negative marking.

Question 1

+4 marksOne correct option

A
(6, 14) is an element in R1.
B
R1 is symmetric.
C
R1 is transitive.
D
R1 is not transitive.

Show answer

Correct answer

C
R1 is transitive.

Question 1 on its own page

Question 2

+4 marksOne correct option

Show answer

Correct answer

Question 2 on its own page

Question 3

+4 marksOne correct option

Which of the following is/are correct with respect to the slope of a line?

Show answer

Correct answer

Question 3 on its own page

Question 4

+4 marksNumerical answer

A group of 500 students went to the college canteen and ordered some items. 285 students ordered ice-cream, 195 students ordered cold coffee, 115 students ordered cold drink, 45 students ordered ice-cream and cold drink, 70 students ordered cold coffee and ice-cream, 50 students ordered cold coffee and cold drink, and 50 students did not ordered anything. Find the number of students who ordered all three items.

Show answer

Correct answer: 20

Question 4 on its own pageAlso asked in Quiz 1 13 Jul 2025

Question 5

+5 marksNumerical answer

Suppose the line $y = 2x + 5$ is the best fit line using SSE for the data set given in Table: 1 for some $k \in \mathbb{R}$ .

$x$	1	2	-1	0	3	4
$y$	6	8	1	4	10	11

Table: 1

Find the value of SSE.

Show answer

Correct answer: 12

Question 5 on its own page

Question 6

+3 marksOne or more correct options

Which of the following is (are) correct?

Select all that apply.

Show answer

Correct answers

Question 6 on its own page

Question 7

+2 marksOne correct option

Which of the following is (are) correct ?

Show answer

Correct answer

Question 7 on its own page

Question 8

+2 marksNumerical answer

A satellite dish is shaped like a parabola, and its height above the ground (in meters) at a horizontal position $x$ meters is given by

$f(x) = ax^2 - 12x + 10, \quad a \in \mathbb{R} \setminus \{0\}.$

An engineer places a ladder that follows the path of a line given by $y = 8x + 3$ . At the point where $x = 1$ , the slope of the satellite dish's curve is the same as the slope of the ladder.

Use this information to answer the given subquestions.

Find the value of a.

Show answer

Correct answer: 10

Question 8 on its own pageAlso asked in Quiz 1 13 Jul 2025

Question 9

+3 marksNumerical answer

A satellite dish is shaped like a parabola, and its height above the ground (in meters) at a horizontal position $x$ meters is given by

$f(x) = ax^2 - 12x + 10, \quad a \in \mathbb{R} \setminus \{0\}.$

An engineer places a ladder that follows the path of a line given by $y = 8x + 3$ . At the point where $x = 1$ , the slope of the satellite dish's curve is the same as the slope of the ladder.

Use this information to answer the given subquestions.

What is the minimum value of f (x)?

Show answer

Correct answer: 6.5 (accepted within ±0.5)

Question 9 on its own pageAlso asked in Quiz 1 13 Jul 2025

Question 10

+3 marksOne correct option

Suppose two boats are starting their journey form the ferry ghat A considered as the origin, one towards ferry ghat B along the straight line y = −2x and the other towards the ferry ghat C along the straight line perpendicular to the path followed by B. The river is 1 km. wide uniformly. Suppose Rahul wants to go to the exact opposite point of A along the river. Then answer the given subquestions.

How much distance Rahul has to travel to reach his destination if he takes the boat towards ferry ghat B?