Three numbers are in the ratio 3 : 4 : 5

CUET Preparation Today

Start Free Mocks

Home Questions H5XJNHGG3R

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

Three numbers are in the ratio 3 : 4 : 5. If their LCM is 360. The difference of the larger and smaller number is:

Options:

Correct Answer:

Explanation:

Let number are = 3x, 4x, 5x

Given,

LCM of

(3×4×5)x = 60x

60x = 360

x = 6

∴ Numbers are -

⇒ 3 × 6 = 18

⇒ 4 × 6 = 24

⇒ 5 × 6= 30

The difference of the larger and smaller number is = 30 - 18= 12