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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    \[\frac{{{(5.624)}^{3}}+{{(4.376)}^{3}}}{5.624\times 5.624-(5.624\times 4.376)+4.376\times 4.376}\]is equal to

    A)  10

    B)  1.248

    C)  20.44

    D)  1

    Correct Answer: A

    Solution :

    Let        5.62 = a and 4376 = b \[\therefore \] Given expression \[=\frac{{{a}^{3}}+{{b}^{3}}}{{{a}^{2}}-ab+{{b}^{2}}}=\frac{(a+b)({{a}^{2}}-ab+{{b}^{2}})}{{{a}^{2}}-ab+{{b}^{2}}}\] \[=a+b=5.624+4.376=10\]


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