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SSC Sample Paper SSC CGL - Sample Paper-1

  • question_answer
    \[\frac{10.3\times 10.3\times 10.3+1}{10.3\times 10.3-10.3+1}\] is equal to

    A)  9.3                              

    B)  10.3

    C)  11.3    

    D)  12.3

    Correct Answer: C

    Solution :

    Expression \[=\frac{10.3\times 10.3\times 10.3+1\times 1\times 1}{10.3\times 10.3-10.3\times 1+1\times 1}\] Let \[10.3=a\] and \[1=b\] Then, Expression \[=\frac{{{a}^{3}}+{{b}^{3}}}{{{a}^{2}}-ab+{{b}^{2}}}\]             \[=\frac{(a+b)({{a}^{2}}-ab+{{b}^{2}})}{{{a}^{2}}-ab+{{b}^{2}}}\]             \[=a+b=10.3+1=11.3\]


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