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; which is not divisible by 9.
When a = 2; the number becomes 827; sum of the digits = 17 which is not divisible by 9.
When a = 5; the number becomes 857; sum of the digits = 20; which is not divisible by 9.

When a = 3; the number becomes 837; sum of the digits = 18; which is divisible by 9.