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  1. Given (224)r = The value of the radix 'r' is :

    2. A.
    5
    B.
    6
    C.
    7
    D.
    10

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    Answer : Option A

    Explanation :

    (224)r =

    = (13)r x (13)r

    ∴ 2r2 + 2r + 4 = (r + 3) (r + 3) = r2 + 6r + 9

    ∴ r2 - 4r - 5 = 0

    ∴ (r - 5) (r + 1) = 0

    r = - 1 or r = 5

    Negative base is not possible. Therefore base of the equation is 5.

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