SSC CGL 2025 PYQ — Question 53

SSC CGL - 23 Sep 2025 - Shift 1 • Quantitative Aptitude • Q53

In a circle with center O, two chords, AB and CD, cross each other at right angles. If the distance from the center O to chord AB is 3 cm, while the distance from O to chord CD is 4 cm. What is the radius of the circle?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 5 cm

For two perpendicular chords, r2 = d₁2 + d₂2

r2 = 32 + 42

r2 = 9 + 16

r2 = 25

r = √25

r = 5 cm