CLAT CLAT Solved Paper-2018

  • question_answer
    The value of the expression \[\frac{\left( 1\frac{29}{36}\,+4\frac{1}{8}\,\times 1\frac{7}{11} \right)\,\div \,\left( 5\frac{1}{9}-\,7\frac{7}{8}\,\div \,9\frac{9}{20} \right)}{3\frac{1}{5}\,\div \,\frac{9}{2}\,of\,5\frac{1}{3}}is\]

    A) \[\frac{2}{15}\]                         

    B) 2

    C) \[7\frac{1}{2}\]             

    D)        15            

    Correct Answer: D

    Solution :

    Sol.     
                \[\frac{\left( 1\frac{29}{36}\,+4\frac{1}{8}\,\times 1\frac{7}{11} \right)\,\div \,\left( 5\frac{1}{9}-\,7\frac{7}{8}\,\div \,9\frac{9}{20} \right)}{3\frac{1}{5}\,\div \,\frac{9}{2}\,of\,5\frac{1}{3}}is\]
    \[=\,\frac{\left[ \frac{65}{36}\,\div \,\frac{33}{8}\,\times \frac{18}{1} \right]\div \left[ \frac{46}{9}\,-\,\frac{63}{8}\,\times \frac{20}{189} \right]}{\frac{16}{5}\div \,\left( \frac{9}{2}\,\times \frac{16}{3} \right)}\]
    \[=\,\frac{\left[ \frac{65}{36}\,+\frac{27}{4} \right]\div \left[ \frac{46}{9}\,-\,\frac{5}{6}\, \right]}{\frac{2}{15}}\]
    \[=\,\frac{\frac{308}{36}\,\div \frac{77}{18}}{\frac{2}{15}}\,=\,\frac{308}{36}\,\times \,\frac{18}{77}\,\times \frac{15}{2}\,=\,15\]


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