Figure from the original question paper

(A) There will be 50 non-zero eigenvalues of the covariance matrix.

(B) There will be 6 non-zero eigenvalues of the covariance matrix.

(C) Using the first 5 principal components, the dataset can be reconstructed with zero residue.

(D) The variance captured by the top 6 principal components equals the total variance of the dataset.

MLT Quiz 1: 26 October 2025 (September 2025 term)

Question 1

+2 marksOne or more correct options

Which among the following is true with respect to the Lloyds’ algorithm?

Select all that apply.

A
It always converges.
B
It may fail to converge for an initialization while it may converge for other initialization.
C
It is sensitive to outliers.
D
The solution produced is always the optimal.

Question 2

+4 marksOne or more correct options

Select all that apply.

A
There will be 50 non-zero eigenvalues of the covariance matrix.
B
There will be 6 non-zero eigenvalues of the covariance matrix.
C
Using the first 5 principal components, the dataset can be reconstructed with zero residue.
D
The variance captured by the top 6 principal components equals the total variance of the dataset.

Question 3

+4 marksOne or more correct options

Consider the dataset consisting of the following points:

$(0, 0), \; (0, 2), \; (2, 0), \; (2, 2).$

We want to run the $K$ -means++ algorithm with $K = 2$ . Suppose the first cluster center chosen is $(0, 0)$ . Which of the following statements are correct?

Hint: The score of a datapoint $x$ is given by $S(x) = \min_{j=1,2,\ldots,l-1} (||x - \mu_j^0||^2)$ , where $\mu_j^0$ is the initial cluster center.

Select all that apply.

A
The points (0, 2), (2, 0), and (2, 2) have the equal probability of being chosen as the second cluster center.
B
The probability of selecting (2, 2) as the second cluster center is twice that of selecting (0, 2).
C
If (2, 2) is chosen as the second cluster center, the algorithm will always converge in one iteration.
D
The tie-breaking rule will affect the final cluster centers.

11 more questions in this paper

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More on the MLT Quiz 1 26 Oct 2025 paper

The IIT Madras BS Machine Learning Techniques (MLT) Quiz 1 paper sat on 26 Oct 2025, in the September 2025 term: 14 questions for 40 marks in 120 minutes. The first 3 questions are below. Sign in with Google — it is free — to see the whole paper with its answers and explanations, in learning mode or as a timed mock test.

Feature	MLT Quiz 1 26 Oct 2025 at a glance
Term	September 2025 term
Subject	Machine Learning Techniques
Course code	BSCS2007
Questions	14
Marks	40
Duration	120 min
MSQ	5
Numerical	6
MCQ	3
Official paper	IIT M DIPLOMA AN EXAM QDD2 26 Oct 2025
Negative marking	No negative marking.
Updated	25 Sept 2026

MLT Quiz 1: 26 October 2025 (September 2025 term)

Question 1

Question 2

Question 3

11 more questions in this paper

More on the MLT Quiz 1 26 Oct 2025 paper

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