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Question

The angle between the minute hand and the hour hand of a clock when the time is 8:30, is
Options A) 80 degrees
B) 75 degrees
C) 60 degrees
D) 105 degrees

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Solution

Dear Student,

In clock a full round equals to 360*

i.e. 60 minutes = 360*

1 minute= 6*

12 hours = 360*

1 hour= 30*

now, 8 hours means 240*

and for another 30 minute it will travel another (30÷60)×30= 15*

i.e. total 240+15=255*

and the minute hand will create 30×6= 180* angle. now the angle in between hour hand and minute hand will be (255-180=)75*

answer= 75 degrees.


Regards

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