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SSC Sample Paper SSC CGL - Sample Paper-16

  • question_answer
    If \[\sqrt{0.04\times 0.4\times a}=0.004\times 0.4\times \sqrt{b},\] then the value of \[\frac{a}{b}\] is

    A) \[16\times {{10}^{-3}}\]                      

    B) \[16\times {{10}^{-4}}\]

    C) \[16\times {{10}^{-5}}\]          

    D) \[16\times {{10}^{-6}}\]

    Correct Answer: C

    Solution :

    \[\sqrt{0.04\times 0.4\times a}\] \[=0.004\times 0.4\times \sqrt{b}\] Squaring both sides, \[0.04\times 0.4\times a\]             \[=0.004\times 0.4\times 0.004\times 0.4\times b\] \[\Rightarrow \]   \[\frac{a}{b}=\frac{0.004\times 0.004\times 0.4\times 0.4}{0.04\times 0.4}\] = 0.00016 \[=\frac{16}{100000}=16\times {{10}^{-5}}\]  


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