Subject

    Quantitative Aptitude

    Topic

    Triangle

    At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?

    ক)
    45 min. past 4
    খ)
    40 min. past 4
    গ)
    50(4/11) min. past 4
    ঘ)
    54(6/11) min. past 4

    Explanation

    At 4 o'clock, the hands of the watch are 20 min. spaces apart. To be in opposite directions, they must be 30 min. spaces apart. So, Minute hand will have to gain 50 min. spaces. 55 min. spaces are gained in 60 min. 50 min. spaces are gained in ((60/55) × 50) min. or 54(6/11) min. So, Required time = 54(6/11) min. past 4.

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