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Question

Find the smaller angle between the hour and minute hand of a clock for the time shown in the figure.


A
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B
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C
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Solution

The correct option is C

There are 12 hours on 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 2 to 6 the angle is 30×4=120. However, since the hour hand is in between 1 and 2, there's an additional 15. Hence, the total angle is 135


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