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SSC Sample Paper SSC CGL - Sample Paper-11

  • question_answer
    If \[x:y=3:1,\] then \[{{x}^{3}}-{{y}^{3}}:{{x}^{3}}+{{y}^{3}}\] is equal to

    A) 13 : 14

    B) 14: 13

    C) 10: 11              

    D) 1: 2

    Correct Answer: A

    Solution :

    \[\because \]       \[x:y=3:1\] \[\therefore \]      \[\frac{{{x}^{3}}-{{y}^{3}}}{{{x}^{3}}+{{y}^{3}}}=\frac{{{\left( \begin{matrix}    x  \\    y  \\ \end{matrix} \right)}^{3}}-1}{{{\left( \begin{matrix}    x  \\    y  \\ \end{matrix} \right)}^{3}}+1}=\frac{{{(3)}^{3}}-1}{{{(3)}^{3}}+1}\]             \[=\frac{27-1}{27+1}\]             \[=\frac{26}{28}=13:14\]                     


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