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SSC Sample Paper Mock Test-5 SSC CGL Tear-II Paper-1

  • question_answer
    Which one of the following will divide \[({{3}^{25}}+{{3}^{26}}+{{3}^{27}}+{{3}^{28}})\]completely?

    A)  11                               

    B)  16     

    C)  25                               

    D)  30

    Correct Answer: D

    Solution :

    Given expression \[={{3}^{2}}\times (1+3+{{3}^{2}}+{{3}^{3}})\] \[={{3}^{25}}\times 40=({{3}^{24}}\times 4)(3\times 10)\] Which is divisible by 30.


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