Question

What should be added as the last digit of 59284_ to make it divisible by 9?

• A. 8
• B. 5
• C. 0
• D. 7

Answer 1

The correct option is B 5

The divisibility by 11 rule states that if the difference of the sum of the digits at odd places and even places of the number is 0 or divisible by 11, then the given number is also divisible by 11.
Sum of digits at odd place = 5 + 2 + 4
= 11
Sum of digits at even place = 9 + 8 + _
= 17 + x
Difference = 17 + x - 11
= 6 + x
6 + x should either be 0 or 11 for the number to be divisible by 11.
It can't be 0,
6 + x = 11
x = 11 - 6
x = 5