SSC CGL 2023 PYQ — Question 68

SSC CGL - 14 July 2023 - Shift 1 • Quantitative Aptitude • Q68

Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 16 cm.

In triangle ABD

⇒ AB2 = AD2 + BD2

⇒ 100 = 36 + BD2

⇒ BD2 = 64

⇒ BD = 8

We know that,

⇒ BC = BD + DC

⇒ BC = 8 + 8 = 16 cm