SSC CGL 2019 PYQ — Question 64

SSC CGL - 13th June 2019 - Shift 1 • Quantitative Aptitude • Q64

What is the value of x so that the seven digit number 55350x2 is divisible by 72?

Show answer & explanation

Correct answer: A

Explanation

Correct Answer is option 1 i.e. 7

Concept

Understanding

Application

Divisibility rule:

If a number is divisible by 72 it must be divisible by 8 and 9

Divisibility by 8:

Last 3 digits must be divisible by 8.

Divisibility by 9:

Sum of all digits should by divisible by 9

Number 55350x2is divisible by 72

 

 

Last 3 digits 0x2 must be divisible by 8:

Hence, x = 7 or 3

If we put x = 3, then number becomes5535032 which not divisible by 9.

If we put x = 7, then number becomes5535072 which divisible by 9.

Hence, x = 7