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SSC Sample Paper SSC CGL - Sample Paper-16

  • question_answer
    \[\frac{{{(0.87)}^{4}}-{{(0.13)}^{4}}}{0.87\times 0.87+0.13\times 0.13}=?\]

    A) 1                                 

    B) 0.87

    C) 0.13                             

    D) 0.74

    Correct Answer: D

    Solution :

    Expression \[=\frac{{{(0.87)}^{4}}-{{(0.13)}^{4}}}{0.87\times 0.87+0.13\times 0.13}\] \[=\left( \frac{[{{(0.87)}^{2}}+{{(0.13)}^{2}}][{{(0.87)}^{2}}-{{(0.13)}^{2}}]}{{{(0.87)}^{2}}+{{(0.13)}^{2}}} \right)\] \[={{(0.87)}^{2}}-{{(0.13)}^{2}}\] \[=(0.87+0.13)(0.87-0.13)\] \[=1\times 0.74=0.74\]


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