Subject

    Quantitative Aptitude

    Topic

    Triangle

    At what time between 30 and 6 will the hands of a clock be at right angles?

    ক)
    43(5/11) min. past 5
    খ)
    43(7/11)min. past 5
    গ)
    40 min. past 5
    ঘ)
    45 min. past 5

    Explanation

    At 5 o'clock, the hands are 25 min. spaces apart. To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces. 55 min. spaces are gained in 60 min. 40 min. spaces are gained in ((60/55) ×40) min. = 43(7/11) min. So, Required time = 43(7/11) min. past 5.

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