Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
BSMA1001 · Mathematics for Data Science I
Qualifier · September 2023
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.
Read the passage below, then answer Q1–Q2
In a survey among 140 people, it was found that 75% of these 140 people like playing cricket and 50% of all the 140 people like playing football. Note that, some people may not like both games that could be 0 also.
Use this information to answer the given subquestions
Q1NAT4 Marks·Write the numberWhat is the minimum number of people who like both games?
Your answer:- Q2NAT2 Marks·Write the number
If there are 10 people who don’t like both games, then what is the number of people who like only cricket?
Your answer: - Q3MCQ4 Marks·Choose one option

- A

- B

- C

- D

- A
- Q4MCQ4 Marks·Choose one option

- A

- B

- C

- D

- A
- Q5MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q6NAT4 Marks·Write the number
Your answer: - Q7MSQ4 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q8MSQ4 Marks·Choose all correct options
Which of the following options is/are true?
- A

- B

- C

- D

- A
Read the passage below, then answer Q9–Q10
Q9MSQ3 Marks·Choose all correct optionsWhich of the following options is/are true?
- A

- B

- C

- D

- A
- Q10MSQ4 Marks·Choose all correct options
Which of the following options is/are true?
- A

- B

- C

- D

- A
Read the passage below, then answer Q11–Q12
Q11MCQ3 Marks·Choose one optionWhich of the following options is true?
- A

- B

- C

- D

- A
- Q12NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q13–Q14
Q13MSQ4 Marks·Choose all correct optionsWhich of the following options is/are true?
- AR₁ is a reflexive relation.
- BR₂ is a symmetric relation.
- CR₁ is not a transitive relation.
- DR₂ is a transitive relation.
- Q14MCQ4 Marks·Choose one option
Which of the following options is true?
- AR₁ is a function.
- BR₂ is a function.
- CR₂ is not a one-one function.
- DR₂ is not an onto function.