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SSC Sample Paper SSC CGL - Sample Paper-14

  • question_answer
    \[\frac{8{{(3.75)}^{3}}+1}{{{(7.5)}^{2}}-6.5}\] is equal to

    A) 2.75                             

    B) 9         

    C) 4.75                             

    D) 8.5

    Correct Answer: D

    Solution :

    Expression\[=\frac{8{{(3.75)}^{3}}+1}{{{(7.5)}^{2}}-6.5}\] \[=\frac{{{(2\times 3.75)}^{3}}+1}{{{(7.5)}^{2}}-7.5\times 1+{{1}^{2}}}\] \[=\frac{{{(7.5)}^{3}}+1}{{{(7.5)}^{2}}-7.5\times 1+{{1}^{2}}}\] \[[{{a}^{3}}+{{b}^{3}}=(a+b)({{a}^{2}}-ab+{{b}^{2}})]\] \[=7.5+1=8.5\]


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