Find the time if in an analog clock, the hour hand is at 4 and the minute hand makes an angle of 120^{\circ} with the hour hand.

4:30

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4:15

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4:45

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4:00

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Solution

The correct option is D 4:00

There are 12 hours in a clock. When the hour hand completes one revolution (to complete one circle) it covers 360 degrees. Therefore to move from 12 o’clock to 1 o’clock it travels 360/12 = 30°.

From the figure we can infer that it is 30° + 30°+30° + 30° = 120°

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