SSC MTS 2022 PYQ — Question 52

SSC MTS - 26 July 2022 - Shift 2 • Quantitative Aptitude • Q52

What is the smallest perfect square number that is divisible by both 10 and 15?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 900

On factorizing 10 = 2 × 5

On factorizing 15 = 3 × 5

So,

LCM of 10 and 15 = 2 × 3 × 5 = 30

So,

The smallest perfect square divisible by both 10 and 15 = 22 × 32 × 52 = 900