GATE XH-C3 2025 Question Paper (15-Feb-2025) (Shift-2)

Question 1

Which one of the following plots represents $f(x) = -\frac{|x|}{x}$, where x is a non-zero real number?Note: The figures shown are representative.

Accepted Answer

""

Answer

Answer

Answer

Question 2

The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:Note: The figures shown are representative.

Accepted Answer

$(\frac{5}{3})^n$

Answer

$(\frac{5}{3})^{\frac{n}{2}}$

Answer

$(\frac{5}{3})^{2n}$

Answer

$(\frac{5}{3})^{n(2n-1)}$

Question 3

The 12 musical notes are given as C, C#, D, D#, E, F, F#, G, G#, A, A#. Frequency of each note is $ \sqrt[12]{2} $ times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is:

Accepted Answer

$\sqrt{2}$

Answer

$ \sqrt[6]{2} $

Answer

$ \sqrt[4]{2} $

Answer

$2$

Question 4

Had I learnt acting as a child, I _________ a famous film star.Select the most appropriate option to complete the above sentence.

Accepted Answer

could have been

Answer

will be

Answer

can be

Answer

am going to be

Question 5

Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Group-I: Abuse $\rightarrow$ Insult $\rightarrow$ Ridicule
Group-II: _________ $\rightarrow$ Praise $\rightarrow$ Appreciate

Accepted Answer

Extol

Answer

Prize

Answer

Appropriate

Answer

Espouse