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Question

Find the angle between the minute hand and the hour hand of a clock when the time is 4: 40 pm.

A
110°
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B
120°
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C
130°
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D
100°
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Solution

The correct option is D 100°
The hour hand traces 360/12=30° in an hour.So in 4hrs 40 mins 14/3hr, it traces =30×(14/3)=140°
The minute hand traces 360/60=6° in an hour. So in 40 mins, it traces 6×40=240°
So the required angle =240-140=100°

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