Question

Which one of the following numbers is completely divisible by $99$?

• A. $3572404$
• B. $135792$
• C. $913464$
• D. $114345$
• E. None of these

Answer 1

The correct option is D $114345$

$99=11\times 9$, where $11$ and $9$ are co-prime.

So if a number is divisible by 9 and 11, then it is also divisible by 99.

We know a number is divisible by 3 or 9 if the sum of all the digits of a number is a multiple of 3 or 9 and if the difference of the sum of its digits at odd places and sum of its digits at even places is either $0$ or a number divisible by $11$.
The only number $114345$, is divisible by 9 & 11.

Hence, C will be correct.