8th Class Mathematics Playing with Numbers Question Bank Playing with Numbers

  • question_answer ) The number\[({{10}^{n}}-1)\]is divisible by 11 for____.

    A)  \[\text{n}\in \text{N}\]

    B)  Odd values of n

    C)  Even values of n

    D)  n is the multiple of 11

    Correct Answer: C

    Solution :

    \[({{10}^{n}}-1)\] is divisible by 11 for even values of n as \[{{10}^{2}}-1=99\], \[{{10}^{4}}-1=9999\], \[{{10}^{6}}-1=999999\] etc., are divisible fay 11.

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