GATE TF 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