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SSC Sample Paper SSC CGL - Sample Paper-10

  • question_answer
    The simplified value of \[[{{(0.111)}^{3}}+{{(0.222)}^{3}}-{{(0.333)}^{3}}+{{(0.333)}^{2}}{{(0.222)}^{3}}\]is

    A)  0.999              

    B)  0

    C)  0.888              

    D)  0.111

    Correct Answer: B

    Solution :

    If \[a+b+c=0\] \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3abc\] Here, \[0.111+0.222+(-\,0.333)\]             = 0 \[\therefore \] \[{{(0.111)}^{3}}+{{(0.222)}^{3}}+{{(-\,0.333)}^{3}}\]             \[=-\,3\times 0.111\times 0.222\times 0.333\]             \[=-{{(0.333)}^{2}}\times 0.222\] \[\therefore \] Expression \[={{[-{{(0.333)}^{2}}\times 0.222+{{(0.333)}^{2}}\times 0.222]}^{3}}=0\]


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