SSC Selection Post 2025 PYQ — Question 43

SSC Selection Post - Higher Secondary Level - 31st July 2025 - Shift 2 • Quantitative Aptitude • Q43

In ΔABC, EF is parallel to BC. If AE = 8 cm, AB = 15 cm and AC = 22.5 cm, then find the length of AF.

Show answer & explanation

Correct answer: B

Explanation

Since EF ∥ BC, therefore

ΔAEF ∼ ΔABC

Thus, AE / AB = AF / AC

= 8 / 15 = AF / 22.5

AF = (22.5 × 8) / 15 = 12 cm