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SSC Sample Paper SSC CGL - Sample Paper-3

  • question_answer
    \[{{\left( 4\frac{11}{15}+\frac{15}{71} \right)}^{2}}-{{\left( 4\frac{11}{15}-\frac{15}{71} \right)}^{2}}\]

    A)  1                                

    B)  2

    C)  3                                

    D)  4

    Correct Answer: D

    Solution :

    Let \[4\frac{11}{15}\]\[=a\] and \[\frac{15}{71}=b\] \[\therefore \] Expression \[={{(a+b)}^{2}}-{{(a-b)}^{2}}\] \[=({{a}^{2}}+{{b}^{2}}+2ab)-({{a}^{2}}+{{b}^{2}}-2ab)=4ab\]\[=4\times 4\frac{11}{15}\times \frac{15}{71}\] \[=4\times \frac{71}{15}\times \frac{15}{71}=4\]


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