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    If 14 : A :: A : 56, find the positive value of A.
    Question

    If 14 : A :: A : 56, find the positive value of A.

    A.

    29

    B.

    31

    C.

    28

    D.

    26

    Correct option is C

    Given:

    14 : A :: A : 56

    Solution: 

    14A=A56\frac{ 14 }{ A } = \frac{A }{ 56} 

    A2=14×56A^2 = 14\times56

    A2=14×14×4A^2 = 14 \times 14 \times 4 

    A = 14×2\times 2

    A = 28 

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