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Maths for GenAI · End Term · 31 Aug 2025 (Forenoon)

22 questions · 100 marks · 90 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Mathematical Foundations of Generative AI

End Term · 31 Aug 2025 (Forenoon)

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Q1MCQ2 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q2MCQ3 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q3MCQ4 Marks·Choose one option
Asked 2 times Key ↓
Starting from 4×4 spatial size, apply four ConvTranspose2d blocks each with kernel 4, stride 2, padding 1. Final spatial size is:
1. A16 × 16
2. B32 × 32
3. C64 × 64
4. D128 × 128
Q4MCQ4 Marks·Choose one option
Key ↓
1. AIncrease capacity and reduce bias
2. BReduce capacity, causing underfitting and gradient pathology
3. CEnforce exact 1-Lipschitzness without bias
4. DMake T convex
Q5MCQ4 Marks·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Q6MCQ4 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q7MCQ4 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q8MCQ5 Marks·Choose one option
Key ↓
In the Sampling pipeline in VAE, Unconditional generation uses
1. A
2. B
3. C
4. D
Q9MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q10MCQ5 Marks·Choose one option
Asked 2 times Key ↓
1. A1.797
2. B1.910
3. C2.000
4. D1.620
Q11MCQ5 Marks·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Q12MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q13MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q14MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q15MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q16MCQ5 Marks·Choose one option
Asked 2 times Key ↓
1. A0.6
2. B0.5
3. C0.67
4. D0.75
Q17MCQ5 Marks·Choose one option
Key ↓
1. A≈ 1.670
2. B1.500
3. C2.000
4. D≈ 1.333
Q18MCQ5 Marks·Choose one option
Asked 2 times Key ↓
1. A768 × 768 = 589,824
2. B768 × 64 = 49,152
3. C64 × 64 = 4,096
4. D12 × 64 = 768
Q19MCQ5 Marks·Choose one option
Key ↓
1. A(3,−1)
2. B(2, 0)
3. C(1,−1)
4. D(0, 0)
Q20MCQ5 Marks·Choose one option
Key ↓
1. A2.62
2. B2.00
3. C2.81
4. D1.90
Q21MCQ5 Marks·Choose one option
Key ↓
An AR-LM can be viewed as an MDP by
1. AState = token prefix, action = next token
2. BState = next token, action = prefix
3. CState = vocabulary, action = logits
4. DImpossible
Q22MCQ5 Marks·Choose one option
Asked 2 times Key ↓
1. A0.600
2. B0.750
3. C0.500
4. D0.300

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1B

Q2B

Q3C

Q4B

Q5B

Q6A

Q7A

Q8B

Q9A

Q10A

Q11A

Q12A

Q13A

Q14A

Q15A

Q16A

Q17A

Q18A

Q19A

Q20A

Q21A

Q22A

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