SSC CHSL 2024 PYQ — Question 67

SSC CHSL - 01 July 2024 - Shift 1 • Quantitative Aptitude • Q67

What will be the least value of x so that the 5-digit number 627x5 becomes divisible by 9?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 7.

Divisibility rule of 9:- A number is divisible by 9 if the sum of its digits is divisible by 9.

The sum of the digits of the number 627x5:

⇒ 6 + 2 + 7 + x + 5 = 20 + x

For the number to be divisible by 9, 20 + x must be divisible by 9.

So, x = 7, because 7 is the smallest number,

⇒ 20 + 7 = 27 is divisible by 9

Therefore, the least value of x that makes 627x5 divisible by 9 is x = 7