SSC CGL 2025 PYQ — Question 54

SSC CGL - 26 Sep 2025 - Shift 2 • Quantitative Aptitude • Q54

If sin x = cos y and cos x = sin y, then x + y equals:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 90°.

sin x = cos y

⇒ sin x = sin(90° – y)

⇒ x = 90° – y (taking acute angles)

Then cos x = cos(90° – y) = sin y, which matches the second condition

So x + y = 90°