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Clocks :

1.  A clock is a circle which is divided into 60 minute spaces. The minute hand passes over 60 minute spaces. The minute hand passes over 60 minute spaces in one hour. By the hour hand goes over 5 minute spaces. In 60 minutes, the minute hand gains 55 minutes on the hour hand.

Note :

    i. In every hour, both the hands coincide once
    ii. When the hands are in opposite directions, they
    iii. When the hands are at right angle, they are 15 minute spaces apart. This happens twice in every hour.
    iv. The minute had moves through 6o in each minute whereas an hour hand moves through in each minute.
    v. The hands of a clock are at right angles 44 times in a day.
    vi.  The hands of a clock coincide in 22 times in a day.
    vii. The hands are straight (coincide and opp. direction) 44 times in a day.

2.  Between x and (x+1) how they coincide at (5x) min. past x o’ clock.

3.  Between x and (x+1) they will be right angle at (5x+15) min. past x o’ clock.

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