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Discussion :: Numbers

  1. On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?

  2. A.

    0

    B.

    1

    C.

    2

    D.

    4

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    Answer : Option D

    Explanation :

    Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.

        x = 5k + 3

        x2 = (5k + 3)2

       = (25k2 + 30k + 9)

       = 5(5k2 + 6k + 1) + 4

    On dividing x2 by 5, we get 4 as remainder.


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