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Question

Which one of the given numbers is completely divisible by 45?


Options:
A .  None of these
B .  165642
C .  202860
D .  112330
Answer: Option C

We know that 45 = 9 × 5 where 9 and 5 are co-prime numbers. Also 9 and 5 are
factors of 45. Hence
if a number is divisible by 5 and 9, the number will be divisible by their product 45 also.
If a number is not divisible by 5 or 9, it is not divisible by 45


112330 is divisible by 5 but not divisible by 9 => 112330 is not divisible by 45
202860 is divisible by 5 and 9 => 202860 is divisible by 45
165642 is not divisible by 5 and 9 => 165642 is not divisible by 45
Hence, 202860 is the answer



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