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SSC Sample Paper Mock Test-17 SSC CGL Tear-II Paper-1

  • question_answer
    \[\frac{{{(6.25)}^{1/2}}\times {{(0.0144)}^{1/2}}+1}{{{(0.0027)}^{1/2}}\times {{(81)}^{1/2}}}\]is simplified to

    A) 0.14     

    B)  1.4

    C)  1

    D)  1.4

    Correct Answer: D

    Solution :

    Given expression \[=\frac{{{(625)}^{\frac{1}{2}}}\times {{(0.00144)}^{\frac{1}{2}}}+1}{{{(0.027)}^{\frac{1}{3}}}\times {{(81)}^{\frac{1}{4}}}}\] \[=\frac{{{(2.5)}^{2\times \frac{1}{2}}}\times {{(0.12)}^{2\times \frac{1}{2}}}+1}{{{(0.3)}^{3\times \frac{1}{3}}}\times {{(3)}^{4\times \frac{1}{4}}}}=\frac{2.5\times 0.12+1}{0.3\times 3}=\frac{0.3+1}{0.9}\]\[=\frac{1.3}{0.9}=\frac{13}{9}=1.44...=1.\overline{4}\]


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