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) R is neither reflexive nor transitive.

(D) R is an equivalence relation

Figure from the original question paper

(B) The given equation attains it minima at x = −2.

(C) y-intercept of parabola is 12.

(D) The minimum value for the given equation is 8

(A) The coordinates of the vertex is (-8, 2).

January 2025 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Qualifier: 13 April 2025 (January 2025 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Qualifier paper sat on 13 Apr 2025, in the January 2025 term: 13 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: 13
Marks: 50
Duration: 120 min
MCQ: 3
MSQ: 2
Numerical: 8

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M DS REATTEMPT AN EXAM QDQ1 13 Apr 2025 · No negative marking.

Question 1

+4 marksOne correct option

Show answer

Correct answer

Question 1 on its own page

Question 2

+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 2 on its own page

Question 3

+4 marksOne correct option

A
Figure 1
B
Figure 2
C
Figure 3
D
Figure 4

Show answer

Correct answer

C
Figure 3

Question 3 on its own page

Question 4

+5 marksOne or more correct options

Mrs. Riya is a researcher, she does research on the decay of the quality of mango. She proposed 5 models:

$M_1 : y = -2x + 18$
$M_2 : y = 1.5x + 20$
$M_3 : y = -1.2x + 20$
$M_4 : y = -1.5x + 20$
$M_5 : y = 1.2x + 15$

In these models, y indicates a quality factor (or decay factor) which is dependent on x number of days. The value of y varies between 0 and 20, where the value 20 denotes that the fruit has no decay and y = 0 means that it has completely decayed. While formulating a model she has to make sure that on the 0th day the mango has no decay. The quality factor (or decay factor) y values on xth day are shown in Table 1.

Table: 1

x	y
5	14
8	10
10	8
15	2

Which of the following options is/are correct?

Select all that apply.

A
M3 has the lowest SSE
B
M4 is a better model compared to M1, M2 and M5
C
M5 is a better model compared to M1, M2 and M3
D
M4 has the lowest SSE

Show answer

Correct answers

A
M3 has the lowest SSE
B
M4 is a better model compared to M1, M2 and M5

Question 4 on its own page

Question 5

+5 marksOne or more correct options

Select all that apply.

A
The coordinates of the vertex is (-8, 2).
B
The given equation attains it minima at x = −2.
C
y-intercept of parabola is 12.
D
The minimum value for the given equation is 8

Show answer

Correct answers

B
The given equation attains it minima at x = −2.
C
y-intercept of parabola is 12.
D
The minimum value for the given equation is 8

Question 5 on its own page

Question 6

+4 marksNumerical answer

A company opened recruitment for the post of data analyst. 500 candidates have applied for the post. 285 candidates are proficient in Python programming, 195 candidates are proficient in C programming, 115 candidates are proficient in Java programming, 45 candidates are proficient in Python and Java, 70 candidates are proficient in C and Python, 50 candidates are proficient in C and Java and 50 candidates don’t know any of the programming languages. Find the number of candidates who are proficient in exactly one of the three programming languages.

Show answer

Correct answer: 325

Question 6 on its own pageAlso asked in Quiz 1 16 Jul 2023, Quiz 1 7 Jul 2024