How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336
Answer : Option A
Explanation :
If a number is divisible by two co-prime numbers, then the number is divisible by their
product also.
If a number is divisible by more than two pairwise co-prime numbers,
then the number is divisible by their product also.
before proceeding
further.
264 is divisible by 3, 4 and 11 => 264 is divisible by 132
396 is divisible by 3, 4 and 11 => 396 is divisible by 132
462 is divisible by 3 and 11, but not divisible by 4 => 462 is not divisible by 132
792 is divisible by 3, 4 and 11 => 792 is divisible by 132
968 is divisible by 4 and 11, but not divisible by 3 => 968 is not divisible by 132
2178 is divisible by 3 and 11, but not divisible by 4 => 2178 is not divisible by 132
5184 is divisible by 3 and 4, but not divisible by 11 => 5184 is not divisible by 132
6336 is divisible by 3, 4 and 11 => 6336 is divisible by 132
Hence, only 264, 396 ,792 and 6336 are divisible by 132. So the answer is 4
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