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  1. At what time between 1 and 2 O' clock are the hands of a clock together ?
    1. 55/11 min past 1
    2. 52/11 min past 1
    3. 51/11 min past 1
    4. 59/11 min past 1
Correct Option: A

At 1 O' clock the the hour hand is at 1 and the minute hand is at 12.
Thus, they are 5 min spaces apart.
To be together, the minute hand must gain 5 min over the hour hand .
55 min are gained by minute hand in 60 min.
5 min will be gained by it in = (60/55 x 5 ) = 60/11 = 55/11 min
Hence, the hands will coincide at 55/11 min past 1 .



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