Subject

    Quantitative Aptitude

    Topic

    Clock

    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 + 5/11 )min past 7
    খ)
    (6 + 5/11) min past 7
    গ)
    7
    ঘ)
    8

    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. Minute hand will have to gain only 5 min. spaces. 55 min. spaces are gained in 60 min. 5 min spaces are gained in (6055×5)\left(\frac{60}{55}\times5\right) min  = 55115\frac5{11} min so, Required time =55115\frac5{11} min  past 7

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