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

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 (Afternoon)

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
Asked 2 times Key ↓
1. AZero a.e.
2. BNonzero and large
3. CUndefined
4. DEqual to the score of p_g
Q3MCQ4 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q4MCQ4 Marks·Choose one option
Asked 2 times Key ↓
1. A31
2. B32
3. C33
4. D34
Q5MCQ4 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q6MCQ4 Marks·Choose one option
Asked 2 times Key ↓
1. A(1.205,−3.210)
2. B(1.205,−1.895)
3. C(0.500,−3.210)
4. D(0.705,−2.000)
Q7MCQ4 Marks·Choose one option
Asked 3 times Key ↓
Given d_z=20, if the first decoder layer is a fully connected layer that outputs 3 x 64 x 64 units and includes a bias term, how many trainable parameters does this layer have?
1. A245,760
2. B258,048
3. C122,880
4. D262,144
Q8MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q9MCQ5 Marks·Choose one option
Key ↓
1. A1
2. B2
3. C3
4. D4
Q10MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q11MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q12MCQ5 Marks·Choose one option
Asked 2 times Key ↓
1. A
2. B
3. C
4. D
Q13MCQ5 Marks·Choose one option
Key ↓
1. A0.28
2. B0.32
3. C0.20
4. D0.18
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. ASize = 4, prob ≈ 0.105
2. BSize = 3, prob = 0
3. CSize = 5, prob = 0.1
4. DSize = 4, prob = 0.1
Q17MCQ5 Marks·Choose one option
Asked 2 times Key ↓
1. A1,048,576 params
2. B786,432 params
3. C524,288 params
4. D262,144 params
Q18MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q19MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q20MCQ5 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q21MCQ5 Marks·Choose one option
Asked 2 times Key ↓
1. A−0.85
2. B−0.80
3. C−0.20
4. D−1.00
Q22MCQ5 Marks·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

Q1A

Q2A

Q3B

Q4B

Q5A

Q6A

Q7B

Q8A

Q9C

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.