SSC CHSL 2023 PYQ — Question 74

SSC CHSL - 09 Aug 2023 - Shift 1 • Quantitative Aptitude • Q74

 IF ΔABC ∼ ΔPQR, the ratio of perimeter of ΔABC to perimeter of ΔPQR is 36: 23 and QR-3.8 cm, then the length of BC is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 5109115\frac{109}{115} cm.

△ABC ~ △PQR

So, Perimeter of △ABC / Perimeter of △PQR = BC/QR

⇒ 36/23 = BC/3.8

⇒ BC = (36 × 3.8)/23 = 684/115 = 51091155\frac{109}{115} cm

Therefore, the length of BC is  51091155\frac{109}{115} cm.