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

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 $p_2$?

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.

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

Bird: Nest :: Bee : __________
Select the correct option to complete the analogy.

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.