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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-23

  • question_answer
    \[({{3}^{15}}+{{3}^{16}}+{{3}^{17}}+{{3}^{18}})\] is divisible by-

    A)  17                               

    B)  11

    C)  8                                

    D)  7

    Correct Answer: C

    Solution :

     \[{{3}^{15}}\text{ +}{{3}^{16}}+{{3}^{17}}+{{3}^{18}}\] \[=\,\,\,{{3}^{15}}(1+{{3}^{1}}+{{3}^{2}}+{{3}^{3}})\] \[=\,\,\,\,{{3}^{15}}(1+3+9+27)={{3}^{15}}\times 40\] So, number is divisible by 8.


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