SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-11

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

    A)  0                                

    B)  1

    C)  10                              

    D)  3

    Correct Answer: C

    Solution :

     \[\frac{\begin{align}   & {{(1.5)}^{3}}+{{(4.7)}^{3}}+{{(3.8)}^{3}} \\  & -3\times 1.5\times 4.7\times 3.8 \\ \end{align}}{\begin{align}   & {{(1.5)}^{2}}{{(4.7)}^{2}}+{{(3.8)}^{2}}-1.5\times 4.7- \\  & 4.7\times 3.8-3.8\times 1.5 \\ \end{align}}\] \[\frac{\begin{align}   & (1.5+4.7+3.8)\,[{{(1.5)}^{2}}+{{(3.8)}^{2}}+{{(4.7)}^{2}}-1.5 \\  & \times 4.7-4.7\times 3.8-3.8\times 1.5] \\ \end{align}}{\begin{align}   & {{(1.5)}^{2}}+{{(4.7)}^{2}}+{{(3.8)}^{2}}-1.5\times 4.7-4.7 \\  & \times 3.8-3.8\times 1.5 \\ \end{align}}\] \[=1.5+4.7+3.8=\]


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