6th Class Mental Ability Numbers Question Bank Number System

  • question_answer
    Which one of the following option is true? I. \[\frac{5}{6}<\frac{6}{7}\]                 II. \[\frac{24}{25}<\frac{29}{30}\] III. \[\frac{3}{4}+\frac{7}{6}<\frac{15}{7}\]     

    A) I and II only       

    B)        II and III only

    C) I and /III only   

    D)        I, II and III

    E) None of these

    Correct Answer: D

    Solution :

    Explanation Option [d] is correct. Case 1: \[\frac{5}{6}<\frac{6}{7}or\frac{5\times 7}{6\times 7}<\frac{6\times 6}{7\times 6}=\frac{35}{42}<\frac{36}{42},\] so case 1is also correct. Case 2: \[\frac{24}{25}<\frac{29}{30}or\frac{24\times 30}{25\times 30}<\frac{29\times 25}{30\times 25}=\frac{720}{750}<\frac{725}{750},\] so case 2 is also correct. Case 3:


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