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Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-20

  • question_answer
    At a college football game, 4/5 of the seats in the lower deck of the stadium were sold. If 1/4 of all the seating in the stadium is located in the lower deck, and if 2/3 of all the seats in the stadium were sold, then what fraction of the unsold seats in the stadium was in the lower deck?

    A)  \[3/20\]                       

    B)  \[1/6\]             

    C)  \[1/5\]                 

    D)         \[1/3\]             

    Correct Answer: A

    Solution :

    Let total number of seats in the stadium be p; number of seats in the lower deck be x and number of seats in upper deck be y. \[\therefore \]  \[p=x+y,\text{ }x=\text{ }p/4,\text{ }y=3p/4\] Now in the lower deck, \[4x/5\]seats were sold and \[x/5\]seats were unsold. No. of total seats sold in the stadium \[=2p/3.\] No. of unsold seats in the lower deck                                            \[=x/5=\text{ }p/20\] No. of unsold seats in the stadium \[=p/3\] \[\therefore \] Required fraction \[=\frac{p/20}{p/3}=\frac{3}{20}\]


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