Subject

    Quantitative Aptitude

    Topic

    Number

    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?

    ক)
    0
    খ)
    1
    গ)
    2
    ঘ)
    4

    Explanation

    Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder. So, x = 5k + 3 => x2 = (5k + 3)2 = (25k2 + 30k + 9) = 5(5k2 + 6k + 1) + 4 So, On dividing x2 by 5, We get 4 as remainder.

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