SSC GD 2025 PYQ — Question 54

SSC GD Const 2025 (English) - 10 Feb 2025 - Shift 3 • Quantitative Aptitude • Q54

The smallest natural number which is divisible by 11, 6, 55 and 9 is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 990.

LCM of 11, 6, 55, 9

Prime factors:

11 ⇒ 11

6 ⇒ 2 × 3

55 ⇒ 5 × 11

9 ⇒ 3 × 3

Take highest powers ⇒ 2 × 32 × 5 × 11 ⇒ 2 × 9 × 5 × 11 ⇒ 990