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Friday, October 16, 2015

Clock puzzles

1.How many times in a day, are the hands of a clock in straight line but opposite in direction?
20 22 24 48

Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only). So, in a day, the hands point in the opposite directions 22 times.

 2.A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
2 p.m. on Tuesday 2 p.m. on Wednesday 3 p.m. on Thursday 1 p.m. on Friday

Explanation: Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday

 3.At 3.40, the hour hand and the minute hand of a clock form an angle of:
125º 130º 120º 135º

Explanation: Angle traced by hour hand in 12 hrs. = 360º. Angle traced by it in Angle traced by minute hand in 60 min. = 360º. Angle traced by it in 40 min. Required angle (240 - 110)º = 130º.

 4.A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
145º 150º 155º 160º

Explanation: Angle traced by hour hand in 12 hrs = 360º. Angle traced by hour hand in 5 hrs 10 min. = 155º

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