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SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    The value of\[\frac{{{(1.5)}^{3}}+{{(4.7)}^{3}}+{{(3.8)}^{3}}-3\times 1.5\times 4.7\times 3.8}{{{(1.5)}^{2}}+{{(4.7)}^{2}}+{{(3.8)}^{2}}-1.5\times 4.7-4.7\times 3.8-3.8\times 1.5}\]

    A)  0

    B)  1

    C)  10

    D)  30

    Correct Answer: C

    Solution :

    Let \[1.5=a,\]\[4.7=b,\]\[3.8=c\] \[\therefore \]Expression \[=\frac{{{a}^{3}}+{{b}^{3}}+{{c}^{3}}\,\,3abc}{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca}\] \[=a+b+c=1.5+4.7+3.8=10\]


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