GATE CSE 2023 Paper 1 — page 3

Questions 7–9 of 65. Imported answers require review unless explicitly marked reviewed.

Consider two functions of time

where

Now consider the following two statements: (i) For some

. (ii) There exists a

, such that

for all

Which one of the following options is TRUE?

Your answerChoose one option.

only (i) is correct

only (ii) is correct

both (i) and (ii) are correct

neither (i) nor (ii) is correct

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which one of the following sentence sequences creates a coherent narrative? (i) Once on the terrace, on her way to her small room in the corner, she notices the man right away. (ii) She begins to pant by the time she has climbed all the stairs. (iii) Mina has bought vegetables and rice at the market, so her bags are heavy. (iv) He was leaning against the parapet, watching the traffic below.

Your answerChoose one option.

(i), (ii), (iv), (iii)

(ii), (iii), (i), (iv)

(iv), (ii), (i), (iii)

(iii), (ii), (i), (iv)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

and

are functions of

and

, respectively, and

for all real values of

and

. Which one of the following options is necessarily TRUE for all

and

Your answerChoose one option.

and

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

2023 · Paper 1

Question 7

Question 8

Question 9