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May 2025 term · Machine Learning Foundations · BSCS2004

Machine Learning Foundations Quiz 1: 13 July 2025 (May 2025 term)

The IIT Madras BS Machine Learning Foundations (MLF) Quiz 1 paper sat on 13 Jul 2025, in the May 2025 term: 14 questions for 40 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
14
Marks
40
Duration
120 min
MSQ
12
Numerical
1
MCQ
1
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA AN EXAM QDD2 13 July 2025 · No negative marking.

Question 1

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • C
  • D
Question 1 on its own page

Question 2

+3 marksOne or more correct options

Which of the following options is/are true regarding the projection matrix?

Select all that apply.

  1. A

    It is a symmetric matrix.

  2. B

    It is an orthogonal matrix.

  3. C

    It is orthogonally diagonalizable.

  4. D

    It is always a rank 1 matrix.

Show answer

Correct answers

  • A

    It is a symmetric matrix.

  • C

    It is orthogonally diagonalizable.

Question 2 on its own page

Question 3

+3 marksOne or more correct options

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  1. A
  2. B
  3. C
  4. D
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Correct answers

  • A
  • B
  • C
Question 3 on its own page

Question 4

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • B
  • D
Question 4 on its own page

Question 5

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • D
Question 5 on its own page

Question 6

+3 marksOne or more correct options

Select all that apply.

  1. A

    Square error loss ≤ 0-1 loss

  2. B

    Square error loss ≥ 0-1 loss

  3. C

    The 0-1 loss is 0.25

  4. D

    The square error loss is 1.25

Show answer

Correct answers

  • A

    Square error loss ≤ 0-1 loss

  • D

    The square error loss is 1.25

Question 6 on its own page

Question 7

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • B
Question 7 on its own page

Question 8

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • C
  • D
Question 8 on its own page

Question 9

+2 marksOne or more correct options

Which of the following options is/are true?

Select all that apply.

  1. A

    A^(*) = A, where A^(*) is conjugate transpose of matrix A.

  2. B

    A is a symmetric matrix.

  3. C

    A is a unitary matrix.

  4. D

    Columns of A are not orthogonal.

Show answer

Correct answers

  • B

    A is a symmetric matrix.

  • D

    Columns of A are not orthogonal.

Question 9 on its own page

Question 10

+3 marksOne or more correct options

Which of the following options is/are true ?

Select all that apply.

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

Correct answers

  • A
  • B
Question 10 on its own page

Question 11

+3 marksOne or more correct options

Which of the following options is/are true ?

Select all that apply.

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

Correct answers

  • A
  • B
  • C
Question 11 on its own page

Question 12

+2 marksOne or more correct options

Which of the following is/are true?

Select all that apply.

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

Correct answers

  • A
  • C
  • D
Question 12 on its own page

Question 13

+3 marksNumerical answer
Show answer

Correct answer: 1.62545 (accepted within ±0.00035)

Question 13 on its own page

Question 14

+2 marksOne correct option

A hospital collects patient data including symptoms, vital signs, and lab test results. They want to find patterns to improve treatment plans. What type of task is clustering most suitable for?

  1. A

    Predicting the recovery time for a new patient.

  2. B

    Diagnosing diseases based on labeled medical records.

  3. C

    Grouping patients with similar symptoms and test results without prior labels.

  4. D

    Determining the most important variable for predicting disease.

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Correct answer

  • C

    Grouping patients with similar symptoms and test results without prior labels.

Question 14 on its own page