SSC CGL 2025 PYQ — Question 54

SSC CGL - 25 Sep 2025 - Shift 2 • Quantitative Aptitude • Q54

If a chord subtends an angle of 75° at the center, the angle it subtends at the circumference on the same side is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 37.5°.

The angle subtended by a chord at the center is twice the angle subtended by it at any point on the remaining part of the circle (on the same side of the chord).

Angle at center = 75°

Angle at circumference = 75°/2 = 37.5°