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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-5

  • question_answer
    Find the largest number, which exactly divides every number of the form \[({{n}^{3}}-n)(n-2)\] where n is a natural number greater than 2.

    A)  6                                

    B)  12

    C)  24                     

    D)         48

    Correct Answer: C

    Solution :

    \[({{n}^{3}}-n)(n-2)\] \[=n(n-1)(n+1)(n-2)\] When\[n=3\], Number\[=3\times 2\times 4=24\]


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