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SSC Quantitative Aptitude Algebra Question Bank Elementary Algebra (II)

  • question_answer
    The value of \[\frac{(0.67\times 0.67\times 0.67)-(0.33\times 0.33\times 0.33)}{(0.67\times 0.67)+(0.67\times 0.33)+(0.33\times 0.33)}\] [SSC CGL Tier II, 2015]

    A) 3.4

    B) 0.34

    C) 1.1

    D) 11

    Correct Answer: B

    Solution :

    [b] \[\frac{(0.67\times 0.67\times 0.67)-(0.33\times 0.33\times 0.33)}{(0.67\times 0.67)+(0.67\times 0.33)+(0.33\times 0.33)}\]                         \[=\frac{{{(0.67)}^{3}}-{{(0.33)}^{3}}}{{{(0.67)}^{2}}+(0.67\times 0.33)+{{(0.33)}^{2}}}\]             \[=\frac{(0.67-0.33)[{{(0.67)}^{2}}+(0.67\times 0.33)+{{(0.33)}^{2}}]}{{{(0.67)}^{2}}+(0.67\times 0.33)+{{(0.33)}^{2}}}\]                         \[=0.67-0.33=0.34\]


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