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May 2025 term · Mathematical Foundations of Generative AI

Mathematical Foundations of Generative AI End Term: 31 August 2025, Set QDB1 (May 2025 term)

The IIT Madras BS Mathematical Foundations of Generative AI (Mathematical Foundations of Generative AI) End Term paper sat on 31 Aug 2025, in the May 2025 term, set QDB1: 22 questions for 100 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
22
Marks
100
Duration
180 min
MCQ
22
Take as mock testPractise with answers

Updated

Official paper: IIT M IMPROVEMENT AN EXAM QIA3 31 Aug 2025 · No negative marking.

Question 1

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 1 on its own page

Question 2

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 2 on its own page

Question 3

+4 marksOne correct option

Starting from 4×4 spatial size, apply four ConvTranspose2d blocks each with kernel 4, stride 2, padding 1. Final spatial size is:

  1. A

    16 × 16

  2. B

    32 × 32

  3. C

    64 × 64

  4. D

    128 × 128

Show answer

Correct answer

  • C

    64 × 64

Question 3 on its own page

Question 4

+4 marksOne correct option
  1. A

    Increase capacity and reduce bias

  2. B

    Reduce capacity, causing underfitting and gradient pathology

  3. C

    Enforce exact 1-Lipschitzness without bias

  4. D

    Make T convex

Show answer

Correct answer

  • B

    Reduce capacity, causing underfitting and gradient pathology

Question 4 on its own page

Question 5

+4 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 5 on its own page

Question 6

+4 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 6 on its own page

Question 7

+4 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 7 on its own page

Question 8

+5 marksOne correct option

In the Sampling pipeline in VAE, Unconditional generation uses

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 8 on its own page

Question 9

+5 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 9 on its own page

Question 10

+5 marksOne correct option
  1. A

    1.797

  2. B

    1.910

  3. C

    2.000

  4. D

    1.620

Show answer

Correct answer

  • A

    1.797

Question 10 on its own page

Question 11

+5 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 11 on its own page

Question 12

+5 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 12 on its own page

Question 13

+5 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 13 on its own page

Question 14

+5 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 14 on its own page

Question 15

+5 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 15 on its own page

Question 16

+5 marksOne correct option
  1. A

    0.6

  2. B

    0.5

  3. C

    0.67

  4. D

    0.75

Show answer

Correct answer

  • A

    0.6

Question 16 on its own page

Question 17

+5 marksOne correct option
  1. A

    ≈ 1.670

  2. B

    1.500

  3. C

    2.000

  4. D

    ≈ 1.333

Show answer

Correct answer

  • A

    ≈ 1.670

Question 17 on its own page

Question 18

+5 marksOne correct option
  1. A

    768 × 768 = 589,824

  2. B

    768 × 64 = 49,152

  3. C

    64 × 64 = 4,096

  4. D

    12 × 64 = 768

Show answer

Correct answer

  • A

    768 × 768 = 589,824

Question 18 on its own page

Question 19

+5 marksOne correct option
  1. A

    (3,−1)

  2. B

    (2, 0)

  3. C

    (1,−1)

  4. D

    (0, 0)

Show answer

Correct answer

  • A

    (3,−1)

Question 19 on its own page

Question 20

+5 marksOne correct option
  1. A

    2.62

  2. B

    2.00

  3. C

    2.81

  4. D

    1.90

Show answer

Correct answer

  • A

    2.62

Question 20 on its own page

Question 21

+5 marksOne correct option

An AR-LM can be viewed as an MDP by

  1. A

    State = token prefix, action = next token

  2. B

    State = next token, action = prefix

  3. C

    State = vocabulary, action = logits

  4. D

    Impossible

Show answer

Correct answer

  • A

    State = token prefix, action = next token

Question 21 on its own page

Question 22

+5 marksOne correct option
  1. A

    0.600

  2. B

    0.750

  3. C

    0.500

  4. D

    0.300

Show answer

Correct answer

  • A

    0.600

Question 22 on its own page