Banking Reasoning Sample Paper Reasoning Sample Paper-11

  • question_answer
    The ratio between the present ages of A and B is 5 : 3, respectively. The ratio between A's age 4yr ago and B's age 4yr hence is 1 : 1.
    What is the ratio between A's age 4yr hence and B's age 4yr ago?

    A)  \[1:3\]                          

    B)  \[2:1\]

    C)  \[3:1\]                          

    D)  \[4:1\]

    Correct Answer: C

    Solution :

    [c] Let the present ages of A and B be 5x yr and 3x yr, respectively.
    Now, according to the question, \[\frac{5x-4}{3x+4}=\frac{1}{1}\]
    \[\Rightarrow \]\[5x-4=3x+4\]
    \[\Rightarrow \]\[2x=8\]
    \[\Rightarrow \]\[x=4\,\,yr\]
    Now, required ratio \[=\frac{(5\times 4+4)}{(3\times 4-4)}=\frac{24}{8}=3:1\]


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