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

  • question_answer
    The captain of a cricket team of 11 players is 25 years old and the wicket-keeper is 3 years older. If the age of these two players are replaced by that of another two players, the average of the cricket team drops by 2 years. Find the average age of these two players.

    A)  15 years             

    B)  \[15.5\]years              

    C)  17 years           

    D)         \[16.5\]years

    Correct Answer: B

    Solution :

    Let average of team = x years Then,  \[25+28+{{S}_{9}}=11x\]                   ?..(i) where \[{{S}_{9}}\] is the sum of ages of remaining players Also, \[Np+{{S}_{9}}=11\,(x-2),\]       .....(ii) where Np is the sum of ages of new players \[(i)-(ii)\Rightarrow 53-Np=22\] \[\Rightarrow Np=31\] \[\therefore \] Average age of new two players \[=\frac{31}{2}=15.5\] years


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