SSC CPO 2020 PYQ — Question 124

SSC CPO - 23 Nov 2020 - Shift 1 • Quantitative Aptitude • Q124

If a nine-digit number 785x3678y is divided by 72, then the value of ( x - y) is :

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 2

9 digit number 785x3678y is divided by 72.

The number divisible by 72 is also divisible by 8 and 9 both.

A number will be divisible by 8 if the last 3 digit of a number is divisible by 8.

78y will be divisible by 8 if y = 4

A number will be divisible by 9 if the sum of the digits is divisible by 9.

985x36784 will be divisible by 9 if x = 6

x - y = 6 - 4 = 2