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Question

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


Options:
A .  115909
B .  115919
C .  115939
D .  115929
Answer: Option D

We know that 99 = 9 × 11 where 9 and 11 are co-prime numbers. Also 9 and 11 are
factors of 99. Hence
if a number is divisible by 9 and 11, the number will be divisible by their product 99 also.
If a number is not divisible by 9 or 11, it is not divisible by 99
115929 is divisible by both 9 and 11 => 115929 is divisible by 99
115939 is not divisible by 9 and 11 => 115939 is not divisible by 99
115919 is not divisible by 9 and 11 => 115919 is not divisible by 99
115909 is not divisible by 9 and 11 => 115909 is not divisible by 99
Hence, 115929 is the answer



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