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

  • question_answer
    If x = 19 and y = 18, then the value of\[\frac{{{x}^{2}}+{{y}^{2}}+xy}{{{x}^{3}}-{{y}^{3}}}\]is

    A) 1

    B)  37      

    C)  324

    D)  361

    Correct Answer: A

    Solution :

    Given expression \[=\frac{{{x}^{2}}+{{y}^{2}}+xy}{{{x}^{3}}-{{y}^{3}}}=\frac{{{x}^{2}}+{{y}^{2}}+xy}{(x-y)({{x}^{2}}+{{y}^{2}}+xy)}\] \[=\frac{1}{x-y}=\frac{1}{19-18}=1\]


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