SSC Selection Post 2019 PYQ — Question 67

SSC Selection Post - Matriculation Level 2019 - 14 Oct 2019 - Shift 1 • Quantitative Aptitude • Q67

The three numbers A, B, C are in the ratio 1/2: 2/3: 3/4. The difference between greatest and smallest numbers is 21.The three numbers A, B and C respectively are:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 42, 56, 63.

LCM of 2, 3, 4 = 12

Multiply by LCM of 2, 3, 4 = 12

A : B : C = 6 : 8 : 9

Let numbers be 6x, 8x, 9x

9x − 6x = 21

x = 7

A=42, B=56, C=63