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 360^{o}. If it takes 360^{o} for an hour, it will take = 240^{o}. The angle between the hour hand the minute hand will therefore, be somewhere between 240  90 = 150^{o}, 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 30^{o}. That is the hour hand makes 30^{o} during the course of an hour.
The hour hand will therefore, move = 20^{o}.
Therefore, the net angle between the hour hand and the minute hand will be 150  20 = 130^{o}.
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