The IIT Madras BS Machine Learning Foundations (MLF) Quiz 1 paper sat on 26 Oct 2025, in the September 2025 term: 18 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.
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?
Regression
Classification
Clustering
Dimensionality Reduction
Correct answer
Classification
Correct answer
Correct answers
Consider the following dataset where each data point consists of three features and as
Suppose the encoder and decoder functions, and respectively, are defined as
Find the reconstruction loss.
Hint : “The reconstruction loss of the encoder decoder pair is the mean of the squared distance between the actual input and reconstructed input.”
Correct answer: 72
Correct answer: 1024
Correct answer: 0
Based on the above data, answer the given subquestions.
Which of these models has the smallest squared loss on this training dataset?
Correct answer
Based on the above data, answer the given subquestions.
No
Yes
Insufficient information to answer the question
Correct answer
No
Based on the above data, answer the given subquestions.
Which of the following sets forms a basis for the row space of A?
{(1, 0, 2), (0, 1,−1)}
{(1, 0, 2), (0, 1,−1), (0, 0,−1)}
{(1, 0, 2), (0,−1, 1), (0,−1,−4)}
{(0, 1,−1), (0, 0,−4)}
Correct answer
{(1, 0, 2), (0, 1,−1), (0, 0,−1)}
Based on the above data, answer the given subquestions.
Correct answer
Based on the above data, answer the given subquestions.
Which of the following is/are true?
A is an orthogonal matrix
A is invertible
A is symmetric
Correct answers
A is an orthogonal matrix
A is invertible
Based on the above data, answer the given subquestions.
Which of the following is true?
A does not have real eigenvalues
A has two distinct real eigenvalues
A has two real eigenvalues, not necessarily distinct
Correct answer
A does not have real eigenvalues
There is no common data for this question. There are three independent sub-questions for which you have to answer True/False.
If a square matrix A is diagonalizable, then A is invertible.
True
False
Correct answer
False
There is no common data for this question. There are three independent sub-questions for which you have to answer True/False.
The eigenvalues of a real symmetric matrix are real.
True
False
Correct answer
True
There is no common data for this question. There are three independent sub-questions for which you have to answer True/False.
A square matrix A of shape n x n is diagonalizable if and only if it has n distinct eigenvalues.
True
False
Correct answer
False
Based on the above data, answer the given subquestions.
Correct answer
Based on the above data, answer the given subquestions.
Correct answer: 1
Based on the above data, answer the given subquestions.
(A)
(B)
Correct answer
(A)
