GATE EC 2024 Question Paper (11-Feb-2024) (Shift 1)

If '→' denotes increasing order of intensity, then the meaning of the words
[charm → enamor → bewitch] is analogous to [bored → ________ weary].
Which one of the given options is appropriate to fill the blank?

P, Q, R, S, and T have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the siblings should not share the same room.
If S and Q are single children, and the room allocations shown below are acceptable to all,then, which one of the given options is the siblings?

Five years ago, the ratio of Aman's age to his father's age was 1:4, and five years from now, the ratio will be 2:5. What was his father's age when Aman was born?

For a real number $x>1$,
$\frac{1}{{\log }_{2}x}+\frac{1}{{\log }_{3}x}+\frac{1}{{\log }_{4}x}=1$
The value of $x$ is

The greatest prime factor of $(3^{199}\text{–}{3}^{196})$ is