What is the angle between the minute hand and the hour hand of a clock when the time is 7 : 20 ?

110
105
102
100

The correct answer is (a) 110.

The hour hand of a clock moves 360 degrees in 12 hours, or 30 degrees per hour. The minute hand of a clock moves 360 degrees in 60 minutes, or 6 degrees per minute.

At 7:20, the hour hand has moved 20/60 * 30 = 10 degrees. The minute hand has moved 20 minutes * 6 = 120 degrees.

The angle between the hour hand and the minute hand is therefore 120 – 10 = 110 degrees.

Option (b) is incorrect because it is the angle between the hour hand and the minute hand at 7:15. Option (c) is incorrect because it is the angle between the hour hand and the minute hand at 7:30. Option (d) is incorrect because it is the angle between the hour hand and the minute hand at 7:00.