SSC CGL 2025 PYQ — Question 56

The correct answer is option 2 i.e. $33.33^\circ$.

sin x = cos(2x − 10)

cos θ = sin(90 − θ)

So,

sin x = sin[90 − (2x − 10)] = sin(100 − 2x)

Therefore,

⇒ x = 100 − 2x

⇒ 3x = 100

⇒ x = $100\over3$° = 33.33°