JEE Main & Advanced Sample Paper JEE Main - Mock Test - 23

  • question_answer
    If \[n\in N\], then \[{{11}^{n+2}}+{{12}^{2n+1}}\] is divisible by

    A) 113       

    B) 123

    C) 133                  

    D) None of these

    Correct Answer: C

    Solution :

    [c] : On putting n= 1 in \[{{11}^{n+2}}+{{12}^{2n+1}},\]we get \[{{11}^{n+2}}+{{12}^{(2\times 1)+1}}={{11}^{3}}+{{12}^{3}}=3059\]which is divisible by 133 only.

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