Subject

    Quantitative Aptitude

    Topic

    Number

    There are 120 legs and 50 heads of some ducks and horses grazing in a field. Find the number of horses.

    ক)
    20
    খ)
    10
    গ)
    30
    ঘ)
    40

    Explanation

    Let there be d ducks and h horses in the field. Then number of total heads in the field = (d + h), and number of total legs in the field = (2 × d + 4 × h). According to the question, d + h = 50………………………………(1) 2d + 4h = 120………………………….(2) Solving both equations, we get, 2h = 20, Or, h = 10 And,   d = 40. Hence, there are 10 horses in the field.

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