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September 2025 term · Mathematics for Data Science I · BSMA1001

Mathematics for Data Science I Quiz 1: 26 October 2025 (September 2025 term)

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 1 paper sat on 26 Oct 2025, in the September 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
2
MSQ
3
Numerical
7
Take as mock testPractise with answers

Updated

Official paper: IIT M FOUNDATION AN EXAM QDF2 26 Oct 2025 · No negative marking.

Question 1

+4 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 1 on its own page

Question 2

+4 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 2 on its own page

Question 3

+4 marksOne or more correct options

An online degree programme offers the following courses:

  • Level I: Mathematics, Statistics
  • Level II: Machine Learning Foundations, Mathematical Thinking
  • Level III: Deep Learning, Machine Learning Techniques, Advanced Algorithms

Every course in Level I is a prerequisite for every course in Level II, and every course in Level II is a prerequisite for every course in Level III.

Let MM be the set of all these courses and define two relations on MM:

R={(A,B)∣A and B are courses in the same level},R = \{(A, B) \mid A \text{ and } B \text{ are courses in the same level}\},

S={(A,B)∣A is a prerequisite for B}.S = \{(A, B) \mid A \text{ is a prerequisite for } B\}.

Which of the following statements is/are correct?

Select all that apply.

  1. A

    R is an equivalence relation.

  2. B

    S is an equivalence relation.

  3. C

    R is not transitive.

  4. D

    S is not symmetric.

Show answer

Correct answers

  • A

    R is an equivalence relation.

  • D

    S is not symmetric.

Question 3 on its own page

Question 4

+4 marksOne or more correct options

Which of the following statements is(are) true?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • D
Question 4 on its own page

Question 5

+4 marksOne or more correct options

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • D
Question 5 on its own page

Question 6

+4 marksNumerical answer
Show answer

Correct answer: 13.5 (accepted within ±0.5)

Question 6 on its own page

Question 7

+4 marksNumerical answer

In an online degree program, it was found that in one term, 72 students took Mathematics, 85 students took Statistics, and 30 students took both Mathematics and Statistics. How many students took only one of the two subjects?

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Correct answer: 97

Question 7 on its own page

Question 8

+4 marksNumerical answer
Show answer

Correct answer: 2

Question 8 on its own page

Question 9

+4 marksNumerical answer
Show answer

Correct answer: 1.35 (accepted within ±0.05)

Question 9 on its own page

Question 10

+4 marksNumerical answer
Show answer

Correct answer: -1

Question 10 on its own page

Question 11

+5 marksNumerical answer
Show answer

Correct answer: -1

Question 11 on its own page

Question 12

+5 marksNumerical answer

A small cafe records, over five days, the number of hours (x)(x) a barista works and the corresponding number of drinks (y)(y) sold:

Hours Worked (x)(x)Drinks Sold (y)(y)
16
26
310
411
5?

A simple linear regression model fitted to the data is

y=2x+3.y = 2x + 3.

The total Sum of Squares Error (SSE) for all five observations is 10. It is known that, on the fifth day, the actual number of drinks sold exceeded the value predicted by the regression line.

Determine, correct to the nearest integer, the number of drinks sold on the fifth day.

Show answer

Correct answer: 16

Question 12 on its own page