SSC CGL 2025 PYQ — Question 56

SSC CGL - 14 Sep 2025 - Shift 3 • Quantitative Aptitude • Q56

If tan A = cot(2A + 30°), then what is the value of A?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 20°.

tan A = cot(2A + 30°) = tan(60° - 2A)

⇒ A = 60° - 2A

⇒ 3A = 60°

⇒ A = 20°