GATE EC 2025 Question Paper (15-Feb-2025) (Shift 2)

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 $\to$ Insult $\to$ Ridicule
Group-II: _________ $\to$ Praise $\to$ Appreciate

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

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:

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.

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.