Subject

    Quantitative Aptitude

    Topic

    Fraction & Decimal

    Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all the oil in drum X is poured into drum Y, then Y will be filled to

    ক)
    3/4
    খ)
    5/6
    গ)
    11/12
    ঘ)
    7/6

    Explanation

    Solution:      Let,  the capacity of drum X is = P liter The capacity of drum Y is = 2P liter Now, drum x is P/2 liter full. Drum Y is 2p/3 of 2P  or 2P × \times 2P/3  = 4P /3 liter full After transformation of X to Y = X+Y = 4P/3 + P/2 = 8P+3P/6  = 11P/6 Hence, Drum Y is field with 11P/6 litters So Fraction is  = 6/2P  or 11P/6 × \times 1/2P = 11/12

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