2. Sample Papers
  3. SSC

SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-17

  • question_answer
    The simplified value of\[\sqrt{\frac{{{(12.12)}^{2}}-{{(8.12)}^{2}}}{{{(0.25)}^{2}}+(0.25)\times (19.99)}}+\frac{{{\left[ {{\left( {{8}^{\frac{-3}{4}}} \right)}^{\frac{5}{2}}} \right]}^{\frac{8}{5}}}}{\sqrt[3]{\left[ {{\left\{ {{({{(128)}^{-5}})}^{\frac{-3}{7}}} \right\}}^{\frac{-1}{5}}} \right]}}\]is

    A)  \[3\frac{1}{2}\]                        

    B)  \[2\frac{1}{2}\]

    C)  \[4\frac{1}{2}\]                        

    D)  \[5\frac{1}{2}\]

    Correct Answer: C

    Solution :

     \[\sqrt{\frac{(20.24)\times 4}{0.25(0.25+19.99)}}+\frac{{{8}^{\frac{-3}{4}\times \frac{5}{2}\times \frac{8}{15}}}\times {{16}^{\frac{3}{4}}}}{{{128}^{-5\times \frac{3}{7}\times \frac{-1}{5}\times \frac{1}{3}}}}\] \[=\,\,\,\,\,4+\frac{\frac{1}{8}\times {{2}^{3}}}{{{2}^{\frac{7}{7}}}}=4+\frac{1}{2}=\mathbf{4}\frac{\mathbf{1}}{\mathbf{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner