SSC CGL 2016 PYQ — Question 26

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q26

If 2r = h + √(r2 + h2) then the ratio r : h (r ≠ 0) is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 4 : 3

2r = h + √(r2 + h2)

⇒ (2r - h)2 = r2 + h2

⇒ 4r2 - 4rh + h2 = r2 + h2

⇒ 3r2 = 4rh

⇒ r/h = 4/3