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### Clocks - Quant/Math - CAT 2016

Question 4 the day: February 27, 2003

The CAT Practice question for the day is from the topic Clocks.

Question:
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 choice (4). Correct Answer - 50 degrees

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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