Multiple Choice Questions on If the three numbers in the ratio 3 2 5 be such that the sum of the squares is equal to 1862 then wh........... for SSC CGL Exam Preparation

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Multiple Choice Questions

If the three numbers in the ratio 3 2 5 be such that the sum of the squares is equal to 1862 then wh...........

Quantitative Aptitude (CGL) Ratio, Proportion
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    If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.

    16

    Incorrect Answer

    14

    Correct Answer

    13

    Incorrect Answer

    15

    Incorrect Answer
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    Explanation:

    A : B : C
    3 : 2 : 5
    3x : 2x : 5x
    ∴A^2+B^2+C^2=(3x)^2+(2x)^2+(5x)^2
    9x^2+4x^2+25x^2=38x^2
    => 38x^2=1862
    x^2=1862/38=>931/19=>49
    x = 7
    ∴A=3×7=21
    B=2×7=14
    C=5×7=35
    Hence, smallest is 14

    By: MIRZA SADDAM HUSSAIN
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