SSC CGL 2024 PYQ — Question 64

SSC CGL - 23 Sep 2024 - Shift 2 • Quantitative Aptitude • Q64

XAB and XCD are two secants to a circle. If XA = 18 cm, AB = 22 cm and XC = 24 cm, then find the value of XD (in cm).

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 30.

According to the given question,

Let the length of XD be x cm.

XA × XB = XC × XD

⇒ 18 × 40 = 24 × x

⇒ x = 30