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Discussion :: Numbers

  1. A number when divide by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is

    2. A.

    0
    B.

    1
    C.

    2
    D.

    3

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    Answer : Option D

    Explanation :

    Let x = 6q + 3.

    Then, x2 = (6q + 3)2

       = 36q2 + 36q + 9

       = 6(6q2 + 6q + 1) + 3

    Thus, when x2 is divided by 6, then remainder = 3.

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