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SSC Sample Paper SSC CGL - Sample Paper-4

  • question_answer
    The simplified value of \[\frac{\begin{matrix}    1  \\    3  \\ \end{matrix}\div \begin{matrix}    1  \\    3  \\ \end{matrix}\times \begin{matrix}    1  \\    3  \\ \end{matrix}}{\begin{matrix}    1  \\    3  \\ \end{matrix}\div \begin{matrix}    1  \\    3  \\ \end{matrix}\,\,\text{of}\,\,\begin{matrix}    1  \\    3  \\ \end{matrix}}-\frac{1}{9}\] is

    A)  0        

    B)  1

    C)  \[\frac{1}{3}\]                         

    D)  \[\frac{1}{9}\]

    Correct Answer: A

    Solution :

    The given expression \[=\frac{\frac{1}{3}\times 3\times \frac{1}{3}}{\frac{1}{3}\div \left( \frac{1}{3}\times \frac{1}{3} \right)}-\frac{1}{9}\] \[=\frac{\frac{1}{3}}{\frac{1}{3}\div \frac{1}{9}}-\frac{1}{9}=\frac{\frac{1}{3}}{\frac{1}{3}\times 9}-\frac{1}{9}\] \[=\frac{\frac{1}{3}}{3}-\frac{1}{9}=\frac{1}{9}-\frac{1}{9}=0\]         


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