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Question
If n is an integer, then (n3 - n) is always divisible by :
Options:
A .  4
B .  5
C .  6
D .  7
Answer: Option C
$$\eqalign{
& \left( {{n^3} - n} \right){\text{ and n is any integer}} \cr
& {\text{put n = 2 so, }}{{\text{2}}^3} - 2 = 6 \cr
& {\text{It will be always divisible by 6}} \cr
& {\text{(put n = 2, 3, 4}}....{\text{)}} \cr
& {\text{(n = 2, 3, 4}}.....{\text{)}} \cr} $$

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