Subject

    Bank Exam

    Topic

    Bangladesh Bank 2009 (AD)

    Three math classes X, Y, and Z take an algebra test. The average score in class X is The average score in class Y is The average score in class Z is The average score of all students in classes X and Y together The average score of all students in classes Y and Z together is What is the average for all the three classes?

    ক)
    81
    খ)
    81.5
    গ)
    82
    ঘ)
    84.5

    Explanation

    Let no of people in class X,Y,Z be x,y,z respectively, total x = 83x total y = 76y total z = 85z total(x+y) = 79(x+y) total(y+z) = 81(y+z) implies 83x + 76y = 79(x+y) --------1 76y + 85z = 81(y+z) --------2 1 is 3y=4x 2 is 5y=4z average of 3 classes = total( x + y + z )/( x + y + z) = (83x+76y+85z)/( x + y + z) = 978/12 = 81.5

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