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Maths I · Qualifier · January 2024

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 · January 2024

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.

Q1MSQ5 Marks·Choose all correct options
Asked 6 times Key ↓
1. A
2. B
3. C
4. D
Q2MSQ5 Marks·Choose all correct options
Asked 3 times Key ↓
1. A
2. B
3. C
4. D
Q3MSQ5 Marks·Choose all correct options
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q4–Q5
Q4NAT3 Marks·Write the number
Key ↓
What is the area of the triangle ABC?
Your answer:
Q5MSQ5 Marks·Choose all correct options
Key ↓
Choose all the possible options for P.
1. A(0, 0)
2. B(2, 4)
3. C(−2, 4)
4. D(−1, 1)
5. E(1, 1)
Read the passage below, then answer Q6–Q7
Q6MCQ3 Marks·Choose one option
Asked 2 times Key ↓
Choose the point where L₁ and L₂ intersect.
1. A(10, 18)
2. B(5, 8)
3. C(−10,−18)
4. D(6, 6)
Q7MCQ3 Marks·Choose one option
Asked 2 times Key ↓
If θ is the angle between L₁ and L₂, then tan θ is equal to
1. A
2. B
3. C
4. D
Read the passage below, then answer Q8–Q9
In a grocery store, 60 customers made a purchase on a specific day. 28 people bought bread, 37 people bought milk and 30 people bought fruits. All the customers bought at least one of the three items. 16 of them bought bread and fruits, 17 of them bought bread and milk and 9 of them bought all the three items.
Q8NAT2 Marks·Write the number
Asked 4 times Key ↓
Find the number of customers who bought milk and fruits.
Your answer:
Q9NAT2 Marks·Write the number
Key ↓
Find the number of customers who bought milk and fruits but not bread.
Your answer:
Q10MSQ4 Marks·Choose all correct options
Asked 4 times Key ↓
Consider the following polynomial p(x) whose graph is given below:- Which of the following options is/are correct.
1. AMultiplicity of -1 and 1 must be same.
2. Bp(x) is increasing in the interval (3,∞).
3. CThe total number of local minima is 3.
4. DThe number of turning points is 5.
Q11MSQ4 Marks·Choose all correct options
Key ↓
Which of the following options is/are true?
1. A
2. B
3. C
4. D
Read the passage below, then answer Q12–Q13
Q12NAT2.5 Marks·Write the number
Key ↓
Calculate the value of A
Your answer:
Q13NAT2.5 Marks·Write the number
Key ↓
Calculate the value of B
Your answer:
Q14MCQ4 Marks·Choose one option
Key ↓
Ram and Shyam want to solve a quadratic equation. Ram made a mistake in writing down the constant term and ended up in getting roots as 3 and 4. Shyam made a mistake in writing down the coefficient of x and got the roots as 2 and 3. Consider the leading coefficient to be 1 in all cases. The correct roots of the quadratic equation are:
1. A1 and 5
2. B2 and 6
3. C1 and 6
4. D2 and 5

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1A, D

Q2A, C

Q3B, C, D

Q42

Q5D, E

Q6C

Q7A

Q811

Q92

Q10B, C

Q11C, D

Q122

Q134

Q14C

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