Clocks - Quant/Math - CAT 2013

Question 4 the day: August 02, 2002
The question for the day is from the topic – Clocks.

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

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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