SSC CPO 2020 PYQ — Question 135

SSC CPO - 23 Nov 2020 - Shift 1 • Quantitative Aptitude • Q135

What is the least number that when divided by 15, 18, and 36 leaves the same remainder of 9 in each case and is divisible by 11?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 1089

LCM of 15, 18 and 36 = 180

The required number which is exactly divisible by 11 = 180x + 9

If x = 6

180 × 6 + 9 = 1089 is divisible by 11.

The required number is 1089.