Question:If three numbers in the ratio `3 : 2 : 5` be such that the sum of their squares is `1862`, the middle number will be : 

A `7` 
B `14` 
C `21` 
D `35` 

+ Answer
B 

+ Explanation
Let the numbers be 

`3x, 2x` and `5x`. Then,

`9x^2 + 4x^2 25x^2 = 1862`

`iff 38x^2 = 1862`

`iff x^2 = 49`

`iff x = 7`.

`:.`Second number

`= 2x`

`= 14`.

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Md. Habib Ullah

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