CLAT CLAT Solved Paper-2018

  • question_answer
    The fractions \[\frac{42}{491}\], \[\frac{30}{313}\] and \[\frac{35}{367}\] are arranged in ascending order of magnitude as

    A) \[\frac{35}{367},\,\frac{30}{313}\,,\,\frac{42}{491}\]     

    B) \[\frac{42}{491},\,\frac{35}{367}\,,\,\frac{30}{313}\]

    C) \[\frac{30}{313},\,\frac{35}{367}\,,\,\frac{42}{491}\]

    D)        \[\frac{42}{491},\,\frac{30}{313}\,,\,\frac{35}{367}\]

    Correct Answer: B

    Solution :

    Sol.
                \[\frac{42}{491}\,=\,0.085539\]
                \[\frac{30}{313}\,=\,0.095846\Rightarrow \frac{35}{367}\,=\,0.095367\]
                \[0.085539<0.095367<0.095846\]
                Clearly, \[\frac{42}{491}\,<\,\frac{35}{367}\,<\frac{30}{313}\]


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