2. Solved Papers
  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    \[{{10}^{n}}+3({{4}^{n+2}})+5\]is divisible by\[(n\in N)\]:

    A)  7                                            

    B)  5

    C)  9    

    D)         17

    E)  13

    Correct Answer: C

    Solution :

        For \[n=1,{{10}^{n}}+{{3.4}^{n+2}}+5\] \[=10+{{3.4}^{3}}+5=10+192+5\] \[=207\]which is divisible by 9. \[\therefore \]By Induction, the result is divisible by 9.                 


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