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January 2026 term · Deep Learning · BSCS3004

Deep Learning Quiz 2: 12 April 2026 (January 2026 term)

The IIT Madras BS Deep Learning (Deep Learning) Quiz 2 paper sat on 12 Apr 2026, in the January 2026 term: 30 questions for 80 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
30
Marks
80
Duration
120 min
MCQ
8
MSQ
6
Numerical
16

Updated

Official paper: Deep Learning 07 Apr 26 · No negative marking.

Question 1

+1 markOne correct option

Which of the following optimization algorithms combines Nesterov accelerated gradient with adaptive moment estimation?

  1. A

    NAdam

  2. B

    Adam

  3. C

    RMSprop with momentum

  4. D

    Nesterov accelerated gradient descent

Show answer

Correct answer

  • A

    NAdam

Question 2

+1 markOne correct option

Which of the following optimization algorithms combines Nesterov accelerated gradient with adaptive moment estimation?

  1. A

    NAdam

  2. B

    Adam

  3. C

    RMSprop with momentum

  4. D

    Nesterov accelerated gradient descent

Show answer

Correct answer

  • A

    NAdam

Question 3

+2 marksOne correct option

Suppose that we apply Dropout regularization to a feed forward neural network. Suppose further that mini-batch gradient descent algorithm is used for updating the parameters of the network. Choose the correct statement from the following:

  1. A

    This will lead to sparcity in the trained weights.

  2. B
  3. C
  4. D

    None of these.

Show answer

Correct answer

  • B

Question 4

+2 marksOne correct option

Suppose that we apply Dropout regularization to a feed forward neural network. Suppose further that mini-batch gradient descent algorithm is used for updating the parameters of the network. Choose the correct statement from the following:

  1. A

    This will lead to sparcity in the trained weights.

  2. B
  3. C
  4. D

    None of these.

Show answer

Correct answer

  • B

Question 5

+4 marksOne correct option

Match the optimization algorithms in Column A with their corresponding properties or characteristics in Column B. Note that an algorithm in Column A may correspond to multiple properties in Column B.

Choose the correct set of mappings:

  1. A

    1-(i), 2-(v), 3-(ii, iii), 4-(iv)

  2. B

    1-(ii), 2-(iv), 3-(iii), 4-(i, v)

  3. C

    1-(ii), 2-(iii), 3-(i, iv), 4-(v)

  4. D

    1-(v), 2-(i), 3-(iv), 4-(ii, iii)

Show answer

Correct answer

  • C

    1-(ii), 2-(iii), 3-(i, iv), 4-(v)

Question 6

+4 marksOne correct option

Match the optimization algorithms in Column A with their corresponding properties or characteristics in Column B. Note that an algorithm in Column A may correspond to multiple properties in Column B.

Choose the correct set of mappings:

  1. A

    1-(i), 2-(v), 3-(ii, iii), 4-(iv)

  2. B

    1-(ii), 2-(iv), 3-(iii), 4-(i, v)

  3. C

    1-(ii), 2-(iii), 3-(i, iv), 4-(v)

  4. D

    1-(v), 2-(i), 3-(iv), 4-(ii, iii)

Show answer

Correct answer

  • C

    1-(ii), 2-(iii), 3-(i, iv), 4-(v)

Question 7

+2 marksOne or more correct options

Consider training a deep neural network for a multi-class classification problem. The output layer uses softmax activation, and the hidden layers use ReLU as an activation function. After a few training iterations, you observe that the weights in the initial hidden layers barely get updated. Which of the following actions could help tackle this issue?

Select all that apply.

  1. A

    Replace ReLU with Leaky ReLU in the hidden layers.

  2. B

    Replace ReLU by tanh in the hidden layers.

  3. C

    Increasing the number of neurons in the output layer.

  4. D

    Increasing the learning rate.

Show answer

Correct answers

  • A

    Replace ReLU with Leaky ReLU in the hidden layers.

  • D

    Increasing the learning rate.

Question 8

+2 marksOne or more correct options

Consider training a deep neural network for a multi-class classification problem. The output layer uses softmax activation, and the hidden layers use ReLU as an activation function. After a few training iterations, you observe that the weights in the initial hidden layers barely get updated. Which of the following actions could help tackle this issue?

Select all that apply.

  1. A

    Replace ReLU with Leaky ReLU in the hidden layers.

  2. B

    Replace ReLU by tanh in the hidden layers.

  3. C

    Increasing the number of neurons in the output layer.

  4. D

    Increasing the learning rate.

Show answer

Correct answers

  • A

    Replace ReLU with Leaky ReLU in the hidden layers.

  • D

    Increasing the learning rate.

Question 9

+4 marksOne or more correct options

Consider a simple neural network with a hidden unit with ReLU as an activation function and a linear output unit. The loss used is the squared loss:

.

Select all that apply.

  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
Show answer

Correct answers

  • B
  • C
  • D
  • F

Question 10

+4 marksOne or more correct options

Consider a simple neural network with a hidden unit with ReLU as an activation function and a linear output unit. The loss used is the squared loss:

.

Select all that apply.

  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
Show answer

Correct answers

  • B
  • C
  • D
  • F

Question 11

+3 marksNumerical answer
Show answer

Correct answer: 0

Question 12

+3 marksNumerical answer
Show answer

Correct answer: 0

Question 13

+3 marksNumerical answer
Show answer

Correct answer: 0.4

Question 14

+3 marksNumerical answer
Show answer

Correct answer: 0.4

Question 15

+2 marksNumerical answer

. Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0

Question 16

+2 marksNumerical answer

. Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0

Question 17

+2 marksNumerical answer

. Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.0067 (accepted within ±0.0003)

Question 18

+2 marksNumerical answer

. Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.0067 (accepted within ±0.0003)

Question 19

+4 marksNumerical answer

Consider a neural network with one hidden layer as shown below:

. Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.35 (accepted within ±0.02)

Question 20

+4 marksNumerical answer

Consider a neural network with one hidden layer as shown below:

. Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.35 (accepted within ±0.02)

Question 21

+3 marksNumerical answer

Consider a neural network with one hidden layer as shown below:

. Based on the above data, answer the given subquestions.

Suppose now we introduce an L2 regularization into the loss function. The regularised loss will be

Show answer

Correct answer: 0.55 (accepted within ±0.02)

Question 22

+3 marksNumerical answer

Consider a neural network with one hidden layer as shown below:

. Based on the above data, answer the given subquestions.

Suppose now we introduce an L2 regularization into the loss function. The regularised loss will be

Show answer

Correct answer: 0.55 (accepted within ±0.02)

Question 23

+3 marksOne or more correct options

Consider a neural network with one hidden layer as shown below:

. Based on the above data, answer the given subquestions.

Based on the previous questions 11 and 12, select the correct options from the following:

Select all that apply.

  1. A
  2. B

    Gradient updates will be larger in case of regularised loss.

  3. C
  4. D
Show answer

Correct answers

  • A
  • C

Question 24

+3 marksOne or more correct options

Consider a neural network with one hidden layer as shown below:

. Based on the above data, answer the given subquestions.

Based on the previous questions 11 and 12, select the correct options from the following:

Select all that apply.

  1. A
  2. B

    Gradient updates will be larger in case of regularised loss.

  3. C
  4. D
Show answer

Correct answers

  • A
  • C

Question 25

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Calculate the total number of learnable parameters in Module A.

Show answer

Correct answer: 40960

Question 26

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Calculate the total number of learnable parameters in Module A.

Show answer

Correct answer: 40960

Question 27

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Calculate the total number of learnable parameters in Module B.

Show answer

Correct answer: 151552

Question 28

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Calculate the total number of learnable parameters in Module B.

Show answer

Correct answer: 151552

Question 29

+3 marksOne correct option

Based on the above data, answer the given subquestions.

  1. A

    It increases the spatial resolution of the feature map.

  2. B
  3. C

    It allows the network to learn parallel features at different scales.

  4. D

    It is only used to add non-linearity and does not affect the parameter count.

Show answer

Correct answer

  • B

Question 30

+3 marksOne correct option

Based on the above data, answer the given subquestions.

  1. A

    It increases the spatial resolution of the feature map.

  2. B
  3. C

    It allows the network to learn parallel features at different scales.

  4. D

    It is only used to add non-linearity and does not affect the parameter count.

Show answer

Correct answer

  • B