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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-19

  • question_answer
    The remainder when \[{{17}^{200}}\] is divided by 18, is

    A) 0                                 

    B) 1

    C) 2                                 

    D) 3

    Correct Answer: B

    Solution :

    We know that, \[({{x}^{m}}-{{a}^{m}})\] is divisible by \[(x+a)\] for even value of m.
    \[\therefore \]      \[({{17}^{200}}-{{1}^{200}})\] is divisible by \[(17+1)\]
    \[({{17}^{200}}-1)\] is divisible by 18.
    When \[{{17}^{200}}\] is divisible by 18, then the remainder is 1.


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