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Question
For every natural number n, n(n21) is divisible by
 
Options:
A .  4
B .  6
C .  10
D .  None of these
Answer: Option B
:
B
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.

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