The remainder when 22000 is divided by 17 is

The remainder when 22000 is divided by 17 is

  1. A

    1

  2. B

    2

  3. C

    8

  4. D

    12

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    Solution:

     We have 24 =16=171 

     22000=24500=(171)500=500C017500500C117499+500C217498 500C317497+500C499(17)+(1)500=17m+1

     where m is some positive integer. Thus, the required remainder is 1.

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