Clocks - Quant/Math - CAT 2007
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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