SSC CHSL 2019 PYQ — Question 56

SSC CHSL - 4th July 2019 - Shift 3 • Quantitative Aptitude • Q56

Three numbers are in the ratio 1/2 : 2/3 : 3/4. The difference between the greatest and the smallest number is 27. The smallest number is:

Show answer & explanation

Correct answer: A

Explanation

Correct Answer is option 1 i.e. 54

Understanding

Application

Ratio of 3 numbers a, b and c = 1/2 : 2/3 : 3/4

Converting the ratio:

a : b : c = 6 : 8 : 9

Suppose a, b and c are 6x, 8x and 9x respectively;

Given that (c – a) = 27

⇒ (9x – 6x) = 27

⇒ 3x = 27

⇒ x = 9

Hence, smallest number = 9 × 6 = 54