SSC Sample Paper SSC CGL - Sample Paper-4

  • question_answer
    Simplify\[\frac{0.05\times 0.05\times 0.05-0.04\times 0.04\times 0.04}{0.05\times 0.05+0.002+0.04\times 0.04}\]

    A)  1                                

    B)  0.1

    C)  0.01    

    D)  0.001

    Correct Answer: C

    Solution :

    Using the formula, \[{{a}^{3}}-{{b}^{3}}=(a-b)({{a}^{2}}+ab+{{b}^{2}})\] \[?=\frac{0.05\times 0.05\times 0.05-0.04\times 0.04\times 0.04}{0.05\times 0.05+0.02+0.04\times 0.04}\] \[=\frac{{{(0.05)}^{3}}-{{(0.04)}^{3}}}{{{(0.05)}^{2}}+0.05\times 0.04\times {{(0.04)}^{2}}}\] \[=0.05-0.04\] \[=0.01\]                      


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