SSC GD 2023 PYQ — Question 51

SSC GD Constable (English) - 27 Jan 2023 - Shift 3 • Quantitative Aptitude • Q51

Find the square of the sum of the digits of the smallest number divisible by 18 and 24.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 81.

The smallest number will be by L.C.M

L.C.M(18 and 24)

⇒ 18 = 2 × 3 × 3

⇒ 24 = 2 × 2 × 2 × 3

L.C.M = 72

Sum of digits = 7 + 2 = 9

Square of 9 = 92 = 81