SSC CHSL 2023 PYQ — Question 66

The correct answer is option 3 i.e. 60°.

sin 90° = 1 and cos 30° = $\frac{\sqrt3}{2}$

sin (p + q) = 1 = sin 90°

⇒ p + q = 90°...............(1)

cos (p - q) = $\frac{\sqrt3}{2}$ = cos 30°

⇒ p - q = 30°.....................(2)

by adding equation 1 and 2, we get

⇒ 2p = 120°

⇒ p = 60°