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Maths for GenAI · Quiz 2 · 3 Aug 2025 (Afternoon)

17 questions · 50 marks · 60 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Mathematical Foundations of Generative AI

Quiz 2 · 3 Aug 2025 (Afternoon)

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Q1NAT2 Marks·Write the number
Key ↓
Your answer:
Q2NAT2 Marks·Write the number
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Your answer:
Q3NAT2 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q4NAT3 Marks·Write the number
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Your answer:
Q5NAT3 Marks·Write the number
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Your answer:
Q6NAT3 Marks·Write the number
Key ↓
Your answer:
Q7NAT3 Marks·Write the number
Key ↓
Your answer:
Q8NAT3 Marks·Write the number
Key ↓
Your answer:
Q9NAT3 Marks·Write the number
Asked 3 times Key ↓
Your answer:
Q10NAT4 Marks·Write the number
Key ↓
Your answer:
Q11NAT4 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q12MCQ3 Marks·Choose one option
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1. A
2. B
3. C
4. D
Q13MCQ3 Marks·Choose one option
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1. AAt t = 0, we assume perfect reconstruction
2. BAt t = 0, adding noise will corrupt the final output
3. CAt t = 0, the posterior is deterministic
4. DAll of these
Q14MCQ3 Marks·Choose one option
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1. A
2. B
3. C
4. D
Q15MCQ3 Marks·Choose one option
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1. A
2. B
3. C
4. D
Q16MCQ3 Marks·Choose one option
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In a U-Net for DDPMs, the time embedding is usually added to the feature maps after a convolutional layer. If a feature map has shape ‘[B, C, H, W]’ and the time embedding has shape ‘[B, C]’, how is the embedding typically broadcasted and combined?
1. AIt is reshaped to ‘[B, C, 1, 1]’ and then added.
2. BIt is tiled to ‘[B, C, H, W]’ and then multiplied.
3. CIt is passed through a separate linear layer for each spatial location.
4. DIt is concatenated along the channel dimension.
Q17MCQ3 Marks·Choose one option
Key ↓
1. A[1]
2. B[1, 1]
3. C[1, 64]
4. D[64, 64]

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q10.5 to 0.6

Q212.8 to 14.8

Q3-0.93 to -0.73

Q4-3.4 to -3.2

Q528.2 to 30.2

Q62048

Q70.05 to 0.09

Q80.02 to 0.06

Q98020

Q100.6 to 0.7

Q110.5 to 0.7

Q12C

Q13D

Q14B

Q15C

Q16A

Q17A

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