Subject

    Quantitative Aptitude

    Topic

    Triangle

    At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

    ক)
    5 min. past 7
    খ)
    5(2/11) min. past 7
    গ)
    5(3/11) min. past 7
    ঘ)
    5(5/11) min. past 7

    Explanation

    When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart. At 7 o'clock, they are 25 min. spaces apart. So, Minute hand will have to gain only 5 min. spaces. 55 min. spaces are gained in 60 min. 5 min. spaces are gained in ((60/55) ×5) min = 5(5/11) min. So, Required time = 5(5/11) min. past 7.

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