2024 · Paper 1

Complete GATE DA 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

Question 52

Open question

DAMSQ2 marksNeeds review

Let



,



,



, and



represent height, number of internal nodes, number of leaf nodes, and the total number of nodes respectively in a rooted binary tree. Which of the following statements is/are always TRUE?

Your answerSelect all correct options. You can choose more than one.

A.



B.



C.



D.



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Question 53

Open question

DAMSQ2 marksNeeds review

Consider the following figures representing datasets consisting of two-dimensional features with two classes denoted by circles and squares.



Which of the following is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

A.

(i) is linearly separable.

B.

(ii) is linearly separable.

C.

(iii) is linearly separable.

D.

(iv) is linearly separable.

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Question 54

Open question

DAMSQ2 marksNeeds review

Let



be true if the ball is used in rugby and false otherwise.

Let



be true if the ball is round and false otherwise.

Consider the following logical sentences:

s1:



s2:



s3:



s4:



Which of the following choices is/are logical representations of the assertion, “All balls are round except balls used in rugby”?

Your answerSelect all correct options. You can choose more than one.

A.



B.



C.



D.



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