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SSC Sample Paper Mock Test-14 SSC CGL Tear-II Paper-1

  • 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)  11 : 10

    Correct Answer: A

    Solution :

    \[\frac{x}{y}=\frac{3}{1}\]\[\Rightarrow \]\[\frac{{{x}^{3}}}{{{y}^{3}}}=\frac{27}{1}\] \[\Rightarrow \]\[\frac{{{x}^{3}}-{{y}^{3}}}{{{x}^{3}}+{{y}^{3}}}=\frac{27-1}{27+1}\][By componendo and dividendo]                         \[=\frac{26}{28}=\frac{13}{14}\]


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