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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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