Question

If 5A5 is 3-digit number divisible by 9, then find the value of digit A.

• A. 8
• B. 9
• C. 3
• D. 5

Answer 1

The correct option is A

8

5A5 is a 3-digit number divisible by 9.

If a number is divisible by 9, then the sum of its digits will be divisible by 9.

$\Rightarrow$ 5 + A + 5 is divisible by 9.
$\Rightarrow$ 10 + A is a multiple of 9.

Here, A is a digit, so its value ranges from 0 to 9.
But if A = 9, 10 + 9 = 19, and 19 is not divisible by 9.

So now multiple of 9 which is greater than 10 but less than 19 is 18.
$\Rightarrow$ 10 + A = 18
$\Rightarrow$ A = 8

Hence, the number is 585.