SSC CGL 2023 PYQ — Question 7

SSC CGL Tier II - 3 March 2023 - Shift 1 • Quantitative Aptitude • Q7

The breadth ‘b’ of a room is twice its height and half of its length. Find the length of
 the longest diagonal of the room.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. √21b/2

Given that

The breadth ‘b’ of a room is twice its height and half of its length

b = 2h = l/2

The length of the longest diagonal of the room = √(l2 + b2 + h2)

= √(4b2 + b2 + (b/2)2) = √21b/2