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Maths for GenAI · GAN objective & training

9 questions · 26 marks · 3 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Mathematical Foundations of Generative AI

GAN objective & training

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.

Quiz 1 · 26 Oct 2025 (AN)Quiz 1

Q1MCQ2 Marks·Choose one option
Key ↓
1. A−log 2
2. B0
3. C−log(0.3)
4. Dlog 2
Q2MCQ2 Marks·Choose one option
Asked 3 times Key ↓
1. A80,402
2. B99,402
3. C242,503
4. D159,3
Q3MSQ3 Marks·Choose all correct options
Key ↓
Which of the following are valid reasons why GAN training based on JSD minimization is unstable?
1. AJSD saturates when the supports of p_(data) and p_g do not overlap.
2. BGradients for the generator can vanish when the discriminator becomes too strong.
3. CJSD is not continuous w.r.t. the parameters of the generator distribution.
4. DJSD always provides unbiased gradients in high dimensions.
Q4NAT2 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q5NAT3 Marks·Write the number
Key ↓
Your answer:

End Term · 31 Aug 2025 (FN)End Term

Q6MCQ3 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q7MCQ4 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

End Term · 31 Aug 2025 (AN)End Term

Q8MCQ3 Marks·Choose one option
Asked 2 times Key ↓
1. AZero a.e.
2. BNonzero and large
3. CUndefined
4. DEqual to the score of p_g
Q9MCQ4 Marks·Choose one option
Asked 2 times Key ↓
1. A31
2. B32
3. C33
4. D34

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1B

Q2C

Q3A, B, C

Q40

Q50.72 to 0.76

Q6B

Q7C

Q8A

Q9B

Questions and answer keys are reproduced from the official IIT Madras BS papers. Topics and repeated question types are BTechi’s own grouping. BTechi is not affiliated with IIT Madras.