GATE IN 2025 Question Paper (01-Feb-2025) (Shift 2)

Question 1

Let $p_1$ and $p_2$ denote two arbitrary prime numbers. Which one of the following statements is correct for all values of $p_1$ and $p_2$?

Accepted Answer

$p_1p_2$ is not a prime number.

Answer

$p_1 + p_2$ is not a prime number.

Answer

$p_1 + p_2 + 1$ is a prime number.

Answer

$p_1p_2 + 1$ is a prime number.

Question 2

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?
Note: The figures shown are representative.

Accepted Answer

""

Answer

Answer

Answer

Question 3

If $Pe^x = Qe^{-x}$ for all real values of $x$, which one of the following statements is true?

Accepted Answer

$P = Q = 0$

Answer

$P = Q = 1$

Answer

$P = 1; Q = -1$

Answer

$\frac{P}{Q} = 0$

Question 4

Bird: Nest :: Bee : __________Select the correct option to complete the analogy.

Accepted Answer

Hive

Answer

Kennel

Answer

Hammock

Answer

Lair

Question 5

Despite his initial hesitation, Rehman's __________ to contribute to the success of the project never wavered.Select the most appropriate option to complete the above sentence.

Accepted Answer

resolve

Answer

ambivalence

Answer

satisfaction

Answer

revolve

GATE IN 2025 Question Paper (01-Feb-2025) (Shift 2)

GATE IN Test Series 2026 Mock Test Series (Updated)