Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Machine Learning Foundations
End Term · 31 Aug 2025 (Afternoon)
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- MSQ: One or more options correct. Select all to score.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
- Q1MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q2MSQ4 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q3MSQ3 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q4NAT4 Marks·Write the number
Your answer: - Q5NAT4 Marks·Write the number
Your answer: - Q6NAT4 Marks·Write the number
Your answer: - Q7NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q8–Q11
Q8MCQ2 Marks·Choose one optionLet A = (x, y) be a point in the set S which is closest to the origin. Choose the correct Primal optimization problem from the following.
- A

- B

- C

- D

- A
- Q9MSQ2 Marks·Choose all correct options
Which of the following options is/are true?
- A

- B

- C

- D

- E

- A
- Q10NAT3 Marks·Write the number
If A = (x, y) is the closest point to the origin, then find the value of 3x − y.
Your answer: - Q11MSQ2 Marks·Choose all correct options
Which of the following options is/are true ?
- AS is a convex set.
- BThe objective function of the Primal optimization problem part (A) is a convex function.
- CThe objective function of the Primal optimization problem part (A) is a concave function.
- DNone of these
Read the passage below, then answer Q12–Q13

Based on the above data, answer the given subquestions.
Q12NAT3 Marks·Write the number
Your answer:- Q13MSQ3 Marks·Choose all correct options
Which of the following options is /are true?
- AA is not a Hermitian matrix.
- BA is not a unitary matrix.
- CA is diagonalizable.
- DNone of these