Clocks - Quant/Math - CAT 2016
Question 4 the day:
March 11, 2005
The CAT Practice question for the day is from the topic Clocks.
Question:
- What is the angle between the minute hand and the hour hand when the time is 1540 hours?
-
(1) 150
(2) 160
(3) 140
(4) 130
Correct choice (4). Correct Answer - 130
Solution:
The total angle made by the minute hand during an hour is 360o. If it takes 360o for an hour, it will take  = 240o. The angle between the hour hand the minute hand will therefore, be somewhere between 240 - 90 = 150o, as the hour hand is between 3 and 4.
The angle made by the hour hand when it moves from say 3 to 4 will be 30o. That is the hour hand makes 30o during the course of an hour.
The hour hand will therefore, move  = 20o.
Therefore, the net angle between the hour hand and the minute hand will be 150 - 20 = 130o.
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