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Maths I · All 2024 papers

BSMA1001 · 41 questions · 140 marks · 3 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1001 · Mathematics for Data Science I

All 2024 papers

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.

End Term · 22 Dec 2024 (FN)End Term

Q1MSQ4 Marks·Choose all correct options
Key ↓
1. A
2. B
3. C
4. D
Q2MSQ4 Marks·Choose all correct options
Asked 6 times Key ↓
1. A
2. B
3. C
4. D
Q3MSQ3 Marks·Choose all correct options
Key ↓
1. AThe Number of edges is 8.
2. BThe Number of vertices is 5.
3. CThe Number of edges is 7.
4. DEach vertex has degree 3.
Q4MSQ3 Marks·Choose all correct options
Asked 3 times Key ↓
1. A
2. B
3. C
4. D
Q5MCQ4 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q6–Q7
Q6MCQ3 Marks·Choose one option
Asked 2 times Key ↓
Which of the following options is/are true?
1. A
2. B
3. C
4. D
Q7MCQ3 Marks·Choose one option
Asked 3 times Key ↓
Which of the following option is true?
1. A
2. B
3. C
4. D
Read the passage below, then answer Q8–Q9
Q8NAT2 Marks·Write the number
Asked 6 times Key ↓
Your answer:
Q9MSQ2 Marks·Choose all correct options
Asked 6 times Key ↓
Which of the following option(s) is(are) correct?
1. A
2. B
3. C
4. D
Read the passage below, then answer Q10–Q11
Based on the above data, answer the given subquestions.
Q10NAT2 Marks·Write the number
Key ↓
Your answer:
Q11NAT2 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Read the passage below, then answer Q12–Q13
Q12NAT2 Marks·Write the number
Asked 5 times Key ↓
Your answer:
Q13NAT2 Marks·Write the number
Asked 3 times Key ↓
Enter your answer correctly to two decimal places.
Your answer:
Q14NAT5 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Q15NAT5 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q16NAT4 Marks·Write the number
Asked 4 times Key ↓
Your answer:

Qualifier · May 2024Qualifier

Read the passage below, then answer Q17–Q19
Q17NAT3 Marks·Write the number
Asked 3 times Key ↓
Your answer:
Q18NAT2 Marks·Write the number
Key ↓
What is the cardinality of R₁?
Your answer:
Q19MSQ3 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.
Read the passage below, then answer Q20–Q21
Suppose that P₁ and P₂ are two different points in a Cartesian coordinate system, with P₁ located at (3,−2) and P₂ at (−1, 5). Let L₁ and L₂ be lines passing through P₁ and P₂ respectively.
Q20MCQ4 Marks·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Q21MCQ4 Marks·Choose one option
Asked 2 times Key ↓
If the x−intercept of the line L₁ is 1 and y− intercept of the line L₂ is -1 and If θ is the angle between L₁ and L₂, then tan θ is equal to
1. A
2. B
3. C
4. D
Q22NAT4 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:
Q23NAT4 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Q24MSQ4 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. A
2. B
3. C
4. D
Q25MSQ4 Marks·Choose all correct options
Key ↓
Consider the parabola y = x² + 4x + 12. Which of the following option(s) are true?
1. AThe co-ordinates of vertex is (−8, 2).
2. BThe given equation attains it minima at x = −2.
3. Cy-intercept of parabola is 12.
4. DThe minimum value for the given equation is 8
Q26MSQ4 Marks·Choose all correct options
Key ↓
1. Aq(x) is a cubic polynomial.
2. Bq(x) is a quadratic polynomial.
3. Cq(x) has two distinct zeros.
4. Dq(x) does not have any real zeros.
Q27MCQ4 Marks·Choose one option
Key ↓
1. AIf b² − 4ac > 0 and a perfect square then there exists a rational root of the quadratic equation.
2. BIf b² − 4ac > 0 and not a perfect square then there exists a rational root of the quadratic equation.
3. CIf b² − 4ac < 0 and a perfect square then there exists a rational root of the quadratic equation.
4. DIf b² − 4ac < 0 and not a perfect square then there exists a rational root of the quadratic equation.

Qualifier · January 2024Qualifier

Q28MSQ5 Marks·Choose all correct options
Asked 6 times Key ↓
1. A
2. B
3. C
4. D
Q29MSQ5 Marks·Choose all correct options
Asked 3 times Key ↓
1. A
2. B
3. C
4. D
Q30MSQ5 Marks·Choose all correct options
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q31–Q32
Q31NAT3 Marks·Write the number
Key ↓
What is the area of the triangle ABC?
Your answer:
Q32MSQ5 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 Q33–Q34
Q33MCQ3 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)
Q34MCQ3 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 Q35–Q36
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.
Q35NAT2 Marks·Write the number
Asked 4 times Key ↓
Find the number of customers who bought milk and fruits.
Your answer:
Q36NAT2 Marks·Write the number
Key ↓
Find the number of customers who bought milk and fruits but not bread.
Your answer:
Q37MSQ4 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.
Q38MSQ4 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 Q39–Q40
Q39NAT2.5 Marks·Write the number
Key ↓
Calculate the value of A
Your answer:
Q40NAT2.5 Marks·Write the number
Key ↓
Calculate the value of B
Your answer:
Q41MCQ4 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, C

Q2B, D

Q3B, C

Q4B, C

Q5D

Q6D

Q7A

Q82

Q9B, C

Q101

Q1114

Q1211

Q130.12 to 0.13

Q143

Q1523

Q161

Q171

Q189

Q19A, C, D

Q20D

Q21B

Q22325

Q2323

Q24B, C

Q25B, C, D

Q26B, C

Q27A

Q28A, D

Q29A, C

Q30B, C, D

Q312

Q32D, E

Q33C

Q34A

Q3511

Q362

Q37B, C

Q38C, D

Q392

Q404

Q41C

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