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SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    The largest number that exactly divides each number of the form \[{{n}^{3}}-n,\]where n is a natural number, is

    A)  12

    B)  6    

    C)  3

    D)  2

    Correct Answer: B

    Solution :

    \[{{n}^{3}}-n=n\,\,({{n}^{2}}-1)=n\,\,(n+1)(n-1)\] When, \[n=2,\]\[{{n}^{3}}-n=6\]


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