Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Machine Learning Foundations
Quiz 1 · 26 Oct 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.
- Q1MCQ1 Mark·Choose one option
A bank wants to decide whether a loan applicant should be given a loan or not, based on features like income, credit score and past records. Which of the following machine learning techniques is applicable for this scenario?
- ARegression
- BClassification
- CClustering
- DDimensionality Reduction
- Q2MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q3MSQ2 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q4NAT3 Marks·Write the number
Your answer: - Q5NAT3 Marks·Write the number
Your answer: - Q6NAT2 Marks·Write the number
Your answer: Read the passage below, then answer Q7–Q8

Based on the above data, answer the given subquestions.
Q7MCQ3 Marks·Choose one optionWhich of these models has the smallest squared loss on this training dataset?
- A

- B

- C

- D

- A
- Q8MCQ2 Marks·Choose one option

- ANo
- BYes
- CInsufficient information to answer the question
Read the passage below, then answer Q9–Q10

Based on the above data, answer the given subquestions.
Q9MCQ3 Marks·Choose one optionWhich of the following sets forms a basis for the row space of A?
- A{(1, 0, 2), (0, 1,−1)}
- B{(1, 0, 2), (0, 1,−1), (0, 0,−1)}
- C{(1, 0, 2), (0,−1, 1), (0,−1,−4)}
- D{(0, 1,−1), (0, 0,−4)}
- Q10MCQ2 Marks·Choose one option

- A

- B

- C

- D

- A
Read the passage below, then answer Q11–Q12

Based on the above data, answer the given subquestions.
Q11MSQ2 Marks·Choose all correct optionsWhich of the following is/are true?
- AA is an orthogonal matrix
- BA is invertible
- CA is symmetric
- Q12MCQ3 Marks·Choose one option
Which of the following is true?
- AA does not have real eigenvalues
- BA has two distinct real eigenvalues
- CA has two real eigenvalues, not necessarily distinct
Read the passage below, then answer Q13–Q15
There is no common data for this question. There are three independent sub-questions for which you have to answer True/False.
Q13MCQ2 Marks·Choose one optionIf a square matrix A is diagonalizable, then A is invertible.
- ATrue
- BFalse
- Q14MCQ1 Mark·Choose one option
The eigenvalues of a real symmetric matrix are real.
- ATrue
- BFalse
- Q15MCQ2 Marks·Choose one option
A square matrix A of shape n x n is diagonalizable if and only if it has n distinct eigenvalues.
- ATrue
- BFalse
Read the passage below, then answer Q16–Q18

Based on the above data, answer the given subquestions.
Q16MCQ2 Marks·Choose one option
- A

- B

- C

- D

- A
- Q17NAT2 Marks·Write the number
Your answer: - Q18MCQ2 Marks·Choose one option

- A(A)
- B(B)