CLAT CLAT Solved Paper-2010

  • question_answer
    Directions From the four answers given, shade the appropriate answer in the space provided for it on the OW Answer Sheet.
    The smallest of the fractions given below

    A) \[\frac{9}{10}\]                                  

    B) \[\frac{11}{12}\]

    C) \[\frac{23}{28}\]                    

    D) \[\frac{32}{33}\]

    Correct Answer: C

    Solution :

                Ans.     Ist method Converting all the fraction into decimals [i] \[\frac{9}{10}=0.900\]                  [ii] \[\frac{11}{12}=0.916\] [iii] \[\frac{23}{28}=0.821\]              [iv] \[\frac{32}{33}0.969\] \[\therefore \]    \[\frac{23}{28}\] is smallest. IInd method Convert all the fractions with same denominator. So, taking the LCM OF 10, 12, 28, 33. [i] \[\frac{9}{10}=\frac{4158}{4620}\]                    [ii] \[\frac{11}{12}=\frac{4235}{4620}\] [iii] \[\frac{23}{28}=\frac{3795}{4620}\]                [iv] \[\frac{32}{33}=\frac{4480}{4620}\] \[\therefore \]    \[\frac{23}{28}\] is smallest.


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