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Question

For every natural number n, n(n21) is divisible by

 



A

4

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B

6

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C

10

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D

None of these

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Solution

The correct option is B

6


n(n21) = (n - 1)(n)(n + 1)

It is product of three consecutive natural

numbers, so according to Langrange's theorem

it is divisible by 3 ! i.e., 6.


Mathematics

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