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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

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B

14

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C

28

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D

None

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Solution

The correct option is B

14


Let the numbers be 3x, 2x and 5x.

Then, 9x2+4x2+25x2=1862

38x2=1862

x2=49

x=7

Thus, middle number = 2x = 14.


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