SSC GD 2024 PYQ — Question 45

SSC GD Const (English) - 29 Feb 2024 - Shift 4 • Quantitative Aptitude • Q45

What is the smallest perfect square which is divisible by both 12 and 5?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 900.

L.C.M(12, and 5) = 60

The prime factorization of 60 = 22 × 3 × 5

Multiply the LCM by the missing factors to get even exponents to determine the perfect square

⇒ 60 × 3 × 5

⇒ 60 × 15 = 900

Thus, 900 is the perfect square