An 8-digit number is divisible by 99. If the digits are shuffled, then the number is always divisible by __________.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 9.
We know,
If a number is divisible by 99, it is also divisible by both 9 and 11.
Divisibility rule of 9: a number is divisible by 9 if the sum of its digits is divisible by 9.
Divisibility rule of 11: a number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0 or 11.
According to the question;
When an 8-digit number is divisible by 99, it is also divisible by both 9 and 11.
When the digits are shuffled, the sum will remain the same and will always be divisible by 9.