GATE PH 2025 Question Paper (16-Feb-2025) (Shift-1)

Question 1

Is there any good show ______ television tonight?Select the most appropriate option to complete the above sentence.

Accepted Answer

on

Answer

in

Answer

at

Answer

within

Question 2

As the police officer was found guilty of embezzlement, he was ______ dismissed from the service in accordance with the Service Rules.Select the most appropriate option to complete the above sentence.

Accepted Answer

summarily

Answer

sumptuously

Answer

brazenly

Answer

unintentionally

Question 3

The sum of the following infinite series is:$ \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + ... $

Accepted Answer

$ e - 1 $

Answer

$ \pi $

Answer

$ 1 + e $

Answer

$ e $

Question 4

A thin wire is used to construct all the edges of a cube of $1 	ext{ m}$ side by bending, cutting and soldering the wire. If the wire is $12 	ext{ m}$ long, what is the minimum number of cuts required to construct the wire frame to form the cube?

Accepted Answer

3

Answer

4

Answer

6

Answer

12

Question 5

The figures, I, II and III are parts of a sequence. Which one of the following options comes next in the sequence is IV?

Accepted Answer

""

Answer

Answer

Answer