BTechibtechi.in
Loading Loading
Free IIT Madras BS notes, PYQs and mock tests at btechi.in

Maths I · Qualifier · May 2023

BSMA1001 · 14 questions · 50 marks · 60 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1001 · Mathematics for Data Science I

Qualifier · May 2023

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.

Read the passage below, then answer Q1–Q3
Q1NAT3 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:
Q2NAT3 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:
Q3NAT2 Marks·Write the number
Asked 3 times Key ↓
Find the cardinality of the set (S × S) \ R₂.
Your answer:
Q4MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q5MSQ3 Marks·Choose all correct options
Asked 3 times Key ↓
Which of the following options is/are true?
1. A
2. B
3. C
4. D
Q6MSQ5 Marks·Choose all correct options
Key ↓
1. A
2. B
3. C
4. D
Q7NAT5 Marks·Write the number
Asked 4 times Key ↓
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.
Your answer:
Q8NAT5 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q9NAT5 Marks·Write the number
Key ↓
Your answer:
Q10NAT3 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Read the passage below, then answer Q11–Q12
Q11NAT2 Marks·Write the number
Asked 2 times Key ↓
Find the quantity of the raw material such that the company has the maximum profit.
Your answer:
Q12NAT2 Marks·Write the number
Key ↓
Find the quantity of the raw material (x > 1) such that the company has no profit.
Your answer:
Read the passage below, then answer Q13–Q14
Q13NAT3 Marks·Write the number
Key ↓
If m is the number of distinct roots and n is the number of turning points of the polynomial p(x), then find the value of m + n
Your answer:
Q14MSQ4 Marks·Choose all correct options
Asked 3 times Key ↓
Which of the following options is/are true?
1. A
2. B
3. C
4. D

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1245

Q212367

Q320

Q4C

Q5C, D

Q6B, D

Q7325

Q83

Q9-12

Q1017

Q112

Q123

Q1313

Q14A, C, D

Questions and answer keys are reproduced from the official IIT Madras BS papers. BTechi is not affiliated with IIT Madras.