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May 2022 term · Machine Learning Foundations · BSCS2004

Machine Learning Foundations Quiz 2: 10 July 2022 (May 2022 term)

The IIT Madras BS Machine Learning Foundations (MLF) Quiz 2 paper sat on 10 Jul 2022, in the May 2022 term: 13 questions for 50 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
13
Marks
50
Duration
120 min
MCQ
2
MSQ
4
Numerical
7
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA QUIZ2 EXAM QPE1 10 July 2022 · No negative marking.

Question 1

+3 marksOne correct option
  1. A

    positive definite

  2. B

    positive semi-definite

  3. C

    negative definite

  4. D

    negative semi-definite

Show answer

Correct answer

  • A

    positive definite

Question 1 on its own page

Question 2

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

Correct answer

  • A
Question 2 on its own page

Question 3

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

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

Question 4

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • C
Question 4 on its own page

Question 5

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • C
  • E
Question 5 on its own page

Question 6

+4 marksOne or more correct options

Which of the following statements are correct?

Select all that apply.

  1. A

    Every positive definite matrix is invertible.

  2. B

    A diagonal matrix with positive entries is positive definite.

  3. C

    A symmetric with positive determinant is not necessarily positive definite.

  4. D

    If matrix S is positive definite then S^(−1) may also be positive definite.

Show answer

Correct answers

  • A

    Every positive definite matrix is invertible.

  • B

    A diagonal matrix with positive entries is positive definite.

  • C

    A symmetric with positive determinant is not necessarily positive definite.

  • D

    If matrix S is positive definite then S^(−1) may also be positive definite.

Question 6 on its own page

Question 7

+4 marksNumerical answer
Show answer

Correct answer: 9

Question 7 on its own page

Question 8

+4 marksNumerical answer
Show answer

Correct answer: 8 (accepted within ±0.5)

Question 8 on its own page

Question 9

+4 marksNumerical answer
Show answer

Correct answer: 0.5 (accepted within ±0.1)

Question 9 on its own page

Question 10

+4 marksNumerical answer

We need to find the cheapest cylindrical container to hold 1000m³ of water. The cost of top and bottom circular base is twice that of material used for side of cylinder. Suppose if 1m² area of side cost 1000 rupees. Top and bottom base costs 2000 rupees each, then what is the value of radius of cylinder such that we get minimum cost?

Show answer

Correct answer: 3.45 (accepted within ±0.35)

Question 10 on its own page

Question 11

+3 marksNumerical answer
Show answer

Correct answer: 3

Question 11 on its own page

Question 12

+4 marksNumerical answer
Show answer

Correct answer: 1.4 (accepted within ±0.1)

Question 12 on its own page

Question 13

+4 marksNumerical answer
Show answer

Correct answer: 0

Question 13 on its own page