Railways R.R.C. (Patna) Solved Paper Held on 1st Shift 16-11-2014

  • question_answer
    \[\frac{4\,\,\frac{2}{21}-2\,\,\frac{13}{14}+1\,\,\frac{5}{7}\div 5\,\,\frac{1}{7}}{1\,\,\frac{7}{9}\times 2\,\,\frac{1}{48}\div 3\,\,\frac{16}{27}}=?\]

    A) \[\frac{2}{3}\]                          

    B) \[1\,\,\frac{1}{4}\]

    C) \[1\,\,\frac{2}{3}\]                                 

    D) \[1\,\,\frac{1}{2}\]

    Correct Answer: D

    Solution :

    \[?=\frac{4\frac{2}{21}-2\frac{13}{14}+1\frac{5}{7}\div 5\frac{1}{7}}{1\frac{7}{9}\times 2\frac{1}{48}\div 3\frac{16}{27}}\] \[=\frac{\frac{86}{21}-\frac{41}{14}+\frac{12}{7}\times \frac{7}{36}}{\frac{16}{9}\times \frac{97}{48}\times \frac{27}{97}}\] \[=\frac{86}{21}-\frac{41}{14}+\frac{1}{3}\] \[=\frac{172-123+14}{42}\] \[=\frac{63}{42}=\frac{3}{2}\] \[?=1\frac{1}{2}\]


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