Multiple Choice Questions on In three coloured boxes Red Green and Blue 108 balls are placed There are twice as many balls ........... for Logical Reasoning ( All Exams ) Preparation

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Multiple Choice Questions

In three coloured boxes Red Green and Blue 108 balls are placed There are twice as many balls ...........

Logical Reasoning(Master ) Arithmetical Reasoning
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     In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

    18

    Incorrect Answer

    36

    Incorrect Answer

    45

    Incorrect Answer

    None of these

    Correct Answer
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    Explanation:

    Let R, G and B represent the number of balls in red, green and blue boxes respectively.

    Then,

    R + G + B = 108 ...(i),

    G + R = 2B ...(ii)

    B = 2R ...(iii)

    From (ii) and (iii), we have G + R = 2*2R = 4R or G = 3R.

    Putting G = 3R and B = 2R in (i), we get:

    R + 3R + 2R = 108   =>  6R = 108   =>  R = 18.

    Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

    By: Deepak Dawra
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