SSC GD 2024 PYQ — Question 45

SSC GD Const (English) - 06 March 2024 - Shift 2 • Quantitative Aptitude • Q45

The least number which is exactly divisible by 125, 75, 150 and 70?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 5250.

Prime factorization

⇒ 125 = 53

⇒ 75 = 3 × 52

⇒ 150 = 2 × 3 × 52

⇒ 70 = 2 × 5 × 7

L.C.M(125, 75, 150, and 70) = 2 × 3 × 53 × 7 = 5250

Hence,

The least number which is exactly divisible by 125, 75, 150, and 70 is 5250