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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 8

  • question_answer
    Let \[P(n)={{2}^{3n}}-7n-1\]then P(n) is divisible by

    A)  63       

    B)  36   

    C)  49                   

    D)  25

    Correct Answer: C

    Solution :

    [c] : We have, \[P(n)={{2}^{3n}}-7n-1\] \[\therefore \]\[P(1)={{2}^{3}}-7-1=0\] \[P\left( 2 \right)={{2}^{6}}-7\left( 2 \right)-1=64-14-1=49\] \[\therefore \] P(n) is divisible by 49 not by 63, 36 and 25.


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