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SSC Sample Paper SSC CGL - Sample Paper-24

  • 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 :

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


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