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Maths II · End Term · 22 Dec 2024 (Afternoon)

33 questions · 50 marks · 90 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Mathematics for Data Science II

End Term · 22 Dec 2024 (Afternoon)

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.

Q1MCQ2 Marks·Choose one option
Asked 3 times Key ↓
1. A
2. B
3. C
4. D
Q2MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
1. AAdd second row to fourth row and multiply second row with −5.
2. BMultiply matrix A with −5.
3. CInterchange first and third row and multiply fourth row with 5.
4. DMultiply second row of A with 5 and multiply third row with -1.
Q3MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Q4MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Q5MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q6–Q7
Q6NAT1.5 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q7MCQ1.5 Marks·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q8–Q10
Q8MCQ1 Mark·Choose one option
Asked 2 times Key ↓
1. ATRUE
2. BFALSE
Q9MCQ1 Mark·Choose one option
Asked 2 times Key ↓
1. ATRUE
2. BFALSE
Q10MCQ1 Mark·Choose one option
Asked 2 times Key ↓
1. ATRUE
2. BFALSE
Read the passage below, then answer Q11–Q13
Q11MCQ1 Mark·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
Q12NAT1 Mark·Write the number
Asked 2 times Key ↓
Your answer:
Q13NAT1 Mark·Write the number
Asked 2 times Key ↓
Find the determinant of B.
Your answer:
Read the passage below, then answer Q14–Q16
Based on the above data, answer the given subquestions.
Q14MCQ1 Mark·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Q15MCQ1 Mark·Choose one option
Asked 5 times Key ↓
1. A
2. B
3. C
4. D
Q16MCQ1 Mark·Choose one option
Asked 3 times Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q17–Q18
Based on the above data, answer the given subquestions.
Q17NAT1 Mark·Write the number
Asked 2 times Key ↓
Your answer:
Q18NAT2 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q19–Q20
Based on the above data, answer the given subquestions.
Q19NAT1 Mark·Write the number
Asked 2 times Key ↓
Your answer:
Q20MSQ2 Marks·Choose all correct options
Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q21–Q23
Based on the above data, answer the given subquestions.
Q21NAT1 Mark·Write the number
Key ↓
Your answer:
Q22NAT1 Mark·Write the number
Key ↓
Find the value of a.
Your answer:
Q23NAT1 Mark·Write the number
Key ↓
Find the value of b.
Your answer:
Read the passage below, then answer Q24–Q25
Based on the above data, answer the given subquestions.
Q24MCQ1 Mark·Choose one option
Asked 2 times Key ↓
How many critical points does the function f have?
1. A0
2. B1
3. C2
4. DInfinitely many
Q25MCQ2 Marks·Choose one option
Asked 6 times Key ↓
What can we conclude from the Hessian test for the function f at (0, 0)?
1. A(0, 0) is not a critical point.
2. BThe Hessian test is inconclusive.
3. CThe Hessian test can be used to conclude that (0, 0) is a local maximum.
4. DThe Hessian test can be used to conclude that (0, 0) is a local minimum.
5. EThe Hessian test can be used to conclude that (0, 0) is a saddle point.
Read the passage below, then answer Q26–Q27
Q26MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Q27MCQ1 Mark·Choose one option
Asked 2 times Key ↓
The transformation T is
1. Abijective
2. Binjective but not surjective
3. Csurjective but not injective
4. Dneither injective nor surjective
Read the passage below, then answer Q28–Q30
Q28NAT1.5 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q29NAT1.5 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q30NAT1 Mark·Write the number
Asked 2 times Key ↓
Your answer:
Read the passage below, then answer Q31–Q33
Based on the above data, answer the given subquestions.
Q31MCQ1 Mark·Choose one option
Asked 4 times Key ↓
1. A
2. B
3. C
4. D
Q32NAT2 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Q33MCQ1 Mark·Choose one option
Key ↓
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

Q1B

Q2A, C, D

Q3A, B

Q4B, D

Q5A, B

Q64

Q7A

Q8A

Q9B

Q10A

Q11A

Q122

Q130

Q14B

Q15C

Q16A

Q170

Q182

Q194

Q20A, C, D

Q211

Q220

Q233

Q24D

Q25B

Q26A, C, D

Q27B

Q28-1

Q290

Q301

Q31B

Q321

Q33D

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