SSC CGL 2024 PYQ — Question 69

SSC CGL - 10 Sep 2024 - Shift 2 • Quantitative Aptitude • Q69

ΔEFG and ΔHIJ are similar. Also, ∠E = ∠H and ∠F = ∠I. If 3EF = HI and FG = 9 cm, then IJ is equal to ____.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 27 cm.

Given that,

ΔEFG and ΔHIJ are similar

∠E = ∠H and ∠F = ∠I

So,

⇒ x/9 = 3x/K

⇒ 1/9 = 3/K

⇒ K = 9 × 3

⇒ K = 27