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SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    The value of \[\frac{5.71\times 5.71\times 5.71-2.79\times 2.79\times 2.79}{5.71\times 5.71+5.71\times 2.79+279\times 2.79}\] in simplified from is

    A)  8.5

    B)  8.6      

    C)  2.82    

    D)  2.92

    Correct Answer: D

    Solution :

    Let 5.71 = a and 2.79 = b \[\therefore \] Expression   \[=\frac{{{a}^{3}}-{{b}^{3}}}{{{a}^{2}}+ab+{{b}^{2}}}=\frac{(a-b)({{a}^{2}}+ab+{{b}^{2}})}{{{a}^{2}}+ab+{{b}^{2}}}\] \[=a-b=5.71-2.79=2.92\]


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