GATE AR 2025 Question Paper (02-Feb-2025) (Shift-1)

Question 1

Fish: Shoal :: Lion : Select the correct option to complete the analogy.

Accepted Answer

Pride

Answer

School

Answer

Forest

Answer

Series

Question 2

Identify the grammatically correct sentence:

Accepted Answer

It is I who am responsible for this fiasco.

Answer

It is myself who is responsible for this fiasco.

Answer

It is I who is responsible for this fiasco.

Answer

It is I who are responsible for this fiasco.

Question 3

Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after travelling for one hour. If both the cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?

Accepted Answer

15

Answer

10

Answer

12

Answer

18

Question 4

The ceiling function of a real number x, denoted by $ce(x)$, is defined as the smallest integer that is greater than or equal to x. Similarly, the floor function, denoted by $fl(x)$, is defined as the largest integer that is smaller than or equal to x. Which one of the following statements is NOT correct for all possible values of x?

Accepted Answer

$fl(x)

Answer

$ce(x) \ge x$

Answer

$fl(x) \le x$

Answer

$ce(x) \ge fl(x)$

Question 5

P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches. If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?

Accepted Answer

$\frac{48}{125}$

Answer

$\frac{16}{125}$

Answer

$\frac{16}{25}$

Answer

$\frac{25}{48}$