Q57 / 155 · WBJEE 2016 · Mathematics

For positive integer $n, n^{3}+2 n$ is always divisible by

Correct answer
A
3
B
7
C
5
D
6

Solution

For $n=1,2,3$..., we find that $n^{3}+2 n$ takes values 3, $12,33, \ldots,$ which are divisible by $3 .$

Hence, the correct answer is option: 'A'.

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