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Maths I · Relations & functions basics

BSMA1001 · 15 questions · 53 marks · 8 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1001 · Mathematics for Data Science I

Relations & functions basics

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
MSQ: One or more options correct. Select all to score.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Quiz 1 · 26 Oct 2025 (AN)Quiz 1

Useful Reference Data for this Paper
Q1MSQ4 Marks·Choose all correct options
Asked 6 times Key ↓
1. AR is an equivalence relation.
2. BS is an equivalence relation.
3. CR is not transitive.
4. DS is not symmetric.
Q2NAT4 Marks·Write the number
Asked 3 times Key ↓
Your answer:

End Term · 31 Aug 2025 (FN)End Term

Q3MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
Which of the following options is / are true ?
1. A
2. B
3. C
4. D

End Term · 22 Dec 2024 (FN)End Term

Q4MSQ4 Marks·Choose all correct options
Asked 6 times Key ↓
1. A
2. B
3. C
4. D

Qualifier · May 2024Qualifier

Read the passage below, then answer Q5–Q7
Q5NAT3 Marks·Write the number
Asked 3 times Key ↓
Your answer:
Q6NAT2 Marks·Write the number
Key ↓
What is the cardinality of R₁?
Your answer:
Q7MSQ3 Marks·Choose all correct options
Asked 6 times Key ↓
Which of the following statements are correct?
1. AR₁ is transitive.
2. BR₂ is transitive.
3. CR₂ is not symmetric.
4. D(2,18) is an element in R₂.

Qualifier · January 2024Qualifier

Q8MSQ5 Marks·Choose all correct options
Asked 6 times Key ↓
1. A
2. B
3. C
4. D

Qualifier · September 2023Qualifier

Q9MSQ4 Marks·Choose all correct options
Asked 2 times Key ↓
Which of the following options is/are true?
1. A
2. B
3. C
4. D
Read the passage below, then answer Q10–Q11
Q10MSQ4 Marks·Choose all correct options
Asked 6 times Key ↓
Which of the following options is/are true?
1. AR₁ is a reflexive relation.
2. BR₂ is a symmetric relation.
3. CR₁ is not a transitive relation.
4. DR₂ is a transitive relation.
Q11MCQ4 Marks·Choose one option
Asked 2 times Key ↓
Which of the following options is true?
1. AR₁ is a function.
2. BR₂ is a function.
3. CR₂ is not a one-one function.
4. DR₂ is not an onto function.

Qualifier · May 2023Qualifier

Read the passage below, then answer Q12–Q14
Q12NAT3 Marks·Write the number
Asked 6 times Key ↓
R₁ is _____________ . (Enter all correct options. Enter only the serial numbers of those options in increasing order without adding any comma or space in between them i.e., if your answer is 6 and 7, then you should enter 67]
Your answer:
Q13NAT3 Marks·Write the number
Key ↓
R₂ is ____________ . (Enter all correct options. Enter only the serial numbers of those options in increasing order without adding any comma or space in between them i.e., if your answer is 3 and 4, then you should enter 34)
Your answer:
Q14NAT2 Marks·Write the number
Asked 3 times Key ↓
Find the cardinality of the set (S × S) \ R₂.
Your answer:

Qualifier · January 2023Qualifier

Q15MSQ5 Marks·Choose all correct options
Asked 2 times Key ↓
1. AR₂,R₃, and R₄ are functions
2. BR₂ and R₄ are functions
3. CR₂ is an injective function
4. DR₄ is a bijective function

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1A, D

Q22

Q3A, C

Q4B, D

Q51

Q69

Q7A, C, D

Q8A, D

Q9B, C

Q10A, B

Q11B

Q12245

Q1312367

Q1420

Q15B, D

Questions and answer keys are reproduced from the official IIT Madras BS papers. Topics and repeated question types are BTechi’s own grouping. BTechi is not affiliated with IIT Madras.