Q.
For every natural number n, (n2 – 1) is divisible by
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a
4
b
6
c
10
d
None of these
answer is B.
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Detailed Solution
We have n,n2−1=(n−1)n(n+1).It is product of three consecutive natural numbers, so by Lagrange’s theorem it is divisible by 3! i.e., 6.
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