SSC CGL 2025 PYQ — Question 54

SSC CGL - 25 Sep 2025 - Shift 1 • Quantitative Aptitude • Q54

A chord separates a circle into two segments. If the angle formed by the chord at the center is 120°, what is the angle formed at a point located in the major segment?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 60°.

The angle subtended by an arc at the center is exactly double the angle subtended by it at any point on the remaining part of the circle.

Angle at the major segment = (Angle at the center)/2

= 120°/2

= 60°