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7th Class Mental Ability Numbers Question Bank Number System

  • question_answer
    Simplify \[{{\left[ {{\mathbf{7}}^{\mathbf{-1}}}\mathbf{+}{{\left( \frac{\mathbf{3}}{\mathbf{2}} \right)}^{\mathbf{-1}}} \right]}^{\mathbf{-1}}}\mathbf{\div }{{\left[ {{\mathbf{6}}^{\mathbf{-1}}}\mathbf{+}{{\left( \frac{\mathbf{3}}{\mathbf{2}} \right)}^{\mathbf{-1}}} \right]}^{\mathbf{-1}}}\]

    A) \[\frac{34}{35}\]                       

    B)   \[\frac{35}{34}\]

    C) \[\frac{21}{105}\]         

    D)   \[\frac{5}{121}\]

    E) None of these

    Correct Answer: B

    Solution :

    Explanation \[{{\left\{ \frac{1}{7}+\frac{2}{3} \right\}}^{-1}}\div {{\left\{ \frac{1}{6}+\frac{2}{3} \right\}}^{-\,1}}\,\,=\,\,{{\left\{ \frac{3+14}{21} \right\}}^{-\,1}}\div {{\left\{ \frac{1+4}{6} \right\}}^{-1}}\]\[=\frac{21}{17}\div \frac{6}{5}=\frac{21\times 5}{17\times 6}=\frac{105}{102}=\frac{35}{34}\]


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