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    Question

    At what time between 5 AM and 6 AM will the hour and

    minutes hands of a clock coincide with each other?
    A 29(3/11) minutes Correct Answer Incorrect Answer
    B 27(3/11) minutes Correct Answer Incorrect Answer
    C 25(5/11) minutes Correct Answer Incorrect Answer
    D 31(5/11) minutes Correct Answer Incorrect Answer

    Solution

    Formula used: Angle = |11/2 M – 30 H|; where, M = minutes and H = hours When the hour and minutes hand coincide, the angle made will be 0 degrees. So, H = 5 and Angle = 0 0 = | 11/2 X M – 30 X 5| 11M/2 = 150 11M = 300 M = 27(3/11) minutes. Thus, the hands of the clock will coincide at 5 h 27(3/11) m. Hence the correct answer is (B).

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