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Clocks - Quant/Math - CAT 2009
Question 4 the day:
February 27, 2003
The question for the day is from the topic of Clocks.
- The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.
| (1) |
60 degrees |
| | |
(2) |
120 degrees |
| (3) |
45 degrees |
| | |
(4) |
50 degrees |
Correct Answer - (4)
Solution:
Time is 2:20.
Position of the hands:
Hour hand at 2 (nearly).
Minute hand at 4
Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]
Angle made by the hour hand in 20 minutes is 10 degrees, since it turns through ½ degrees in a minute.
Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degrees
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