2. Sample Papers
  3. SSC

SSC Sample Paper SSC CGL - Sample Paper-30

  • question_answer
    The value of \[\frac{0.9\times 0.9\times 0.9+0.2\times 0.2\times 0.2+0.3\times 0.3\times 0.3-3\times 0.9\times 0.2\times 0.3}{0.9\times 0.9+0.2\times 0.2+0.3\times 0.3-0.9\times 0.2-0.2\times 0.3-0.3\times 0.9}\]is

    A) 1.4                   

    B) 0.054

    C) 0.8                               

    D) 1.0

    Correct Answer: A

    Solution :

    The given expression \[=\frac{{{(0.9)}^{3}}+{{(0.2)}^{3}}+{{(0.3)}^{2}}-3\times (0.9)\times (0.2)\times (0.3)}{{{(0.9)}^{2}}+{{(0.2)}^{2}}+{{(0.3)}^{2}}-(0.9)(0.2)-(0.2)(0.3)-(0.3)(0.9)}\] \[=\frac{\begin{align}   & (0.9+0.2+0.3)[{{(0.9)}^{2}}+{{(0.2)}^{2}}+{{(0.3)}^{2}} \\  & \,\,\,\,\,\,\,\,\,-(0.9)(0.2)-(0.2)(0.3)-(0.3)(0.9)] \\ \end{align}}{\begin{align}   & {{(0.9)}^{2}}+{{(0.2)}^{2}}+{{(0.3)}^{2}}-(0.9)(0.2) \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-(0.2)(0.3)-(0.3)(0.9) \\ \end{align}}\] \[=(0.9+0.2+0.3)=1.4\]


You need to login to perform this action.
You will be redirected in 3 sec spinner