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Question

The product of three consecutive natural numbers, the first of which is an even number, is always divisible by

A
12
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B
24
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C
8
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D
All of these
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Solution

The correct option is D All of these
Three consecutive number will be
n(n + 1) (n + 2)
If n is even number then (n + 2) will also be an even number and one of them will be divisible by 3.
Hence number is always divisible by 12.

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