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7th Class Mental Ability Numbers Question Bank Number System

  • question_answer
    The value which is to be replaced by y in the following expression \[\mathbf{2}\frac{\mathbf{1}}{\mathbf{3}}\,\,\mathbf{+}\,\,\mathbf{y}\,\,\mathbf{+}\,\,\mathbf{3}\frac{\mathbf{1}}{\mathbf{6}}\,\,\mathbf{+}\,\,\mathbf{4}\frac{\mathbf{1}}{\mathbf{2}}\,\,\mathbf{=}\,\,\mathbf{13}\frac{\mathbf{2}}{\mathbf{5}}\]

    A) \[3\frac{1}{6}\]              

    B)   \[4\frac{2}{3}\]

    C) \[2\frac{1}{3}\]             

    D)   \[3\frac{2}{5}\]

    E) None of these

    Correct Answer: D

    Solution :

    Explanation \[2\frac{1}{3}+y+3\frac{1}{6}+4\frac{1}{2}=13\frac{2}{5}\] \[\Rightarrow \,\,\,\frac{7}{3}+y+\frac{19}{6}+\frac{9}{2}=\frac{67}{5}\] \[\Rightarrow \,\,\,\,y+\frac{14+19+27}{6}=\frac{67}{5}\] \[\Rightarrow \,\,\,\,y+\frac{{{\cancel{60}}^{10}}}{{{\cancel{6}}_{1}}}=\frac{67}{5}\] \[\Rightarrow \,\,\,\,y=\frac{67}{5}=-10\] \[\Rightarrow \,\,\,\,y=\frac{17}{5}\,\,\,\Rightarrow \,\,y\,\,=\,\,3\,\frac{2}{5}\]


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