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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-32

  • question_answer
    A boy was asked to fine \[\frac{3}{2}\]of a fraction. Instead, he divided the fraction by \[\frac{3}{5}\] and got an answer, which exceeded the correct answer by \[\frac{33}{75}.\] The correct answer is

    A)  \[\frac{1}{7}\]             

    B)  \[\frac{2}{7}\]

    C)   \[\frac{5}{7}\]            

    D)   \[\frac{2}{5}\]

    Correct Answer: B

    Solution :

    Let the fraction be x. According to the question, \[\frac{x}{3}-x\times \frac{3}{5}=\frac{32}{75}\] \[\Rightarrow \]   \[\frac{5x}{3}-\frac{3x}{5}=\frac{32}{75}\] \[\Rightarrow \]   \[\frac{25x-9x}{15}=\frac{32}{75}\Rightarrow \frac{16x}{15}=\frac{32}{75}\] \[\therefore \]      \[x=\frac{32}{75}\times \frac{15}{16}=\frac{2}{5}\] Correct answers\[=\frac{2}{5}\times \frac{3}{5}=\frac{6}{25}\]


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