SSC Quantitative Aptitude Ratio and Proportion Question Bank Ratio and Proportion (II)

  • question_answer
    Three numbers are in the ratio 2 : 3 : 4. If the sum of their square is 1856, then the numbers are

    A) 8, 12, 16

    B) 16, 24, 32

    C) 12, 18, 24

    D) None of these

    Correct Answer: B

    Solution :

    [b] Let three numbers are 2x, 3x and 4x, respectively. Then, \[4{{x}^{2}}+9{{x}^{2}}+16{{x}^{2}}=1856\] \[\Rightarrow \]\[29{{x}^{2}}=1856\] \[\Rightarrow \] \[{{x}^{2}}=64\]\[\Rightarrow \]\[x=8\] Thus, required numbers are 16, 24 and 32.


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