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Question

The angle (in degree) between the hour hand and the minute hand in a circular clock at 03:25 hours is

A
47.5
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B
52.5
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C
67.5
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D
75
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Solution

The correct option is A 47.5
We know that between 00:00 and 03:25 hours, time span covered in hours
=3+2560=4112
The angle traced by the hour hand in 12 hrs is 360
Angle traced by it in 4112 hrs
=36012×4112=4104=102.5

Angle traced by the minute hand in 60 min is 360
Angle traced by it in 25 min
=36060×25=150

Hence, the angle between the hour hand and the minute hand
=150102.5=47.5

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