Question

If (8a7) is a 3 digit number which is exactly divisible by 9, then the value of 'a' from the given options is :

• A. 1
• B. 2
• C. 3
• D. 5

Answer 1

The correct option is C

3

A number is divisible by 9 when the sum of its digits is divisible by 9 or is a multiple of 9

Hence when a= 1 ; the number becomes 817 ; sum of the digits = 16 ; not divisible by 9
When a = 2 ; the number becomes 827 ; sum of the digits = 17 not divisible by 9
When a = 5 ; the number becomes 857 ; sum of the digits = 20 ; not divisible by 9

When a = 3 , the number becomes 837 , sum of the digits = 18 ,divisible by 9