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The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

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1. 

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

[A]. 80°
[B]. 75°
[C]. 60°
[D]. 105°

Answer: Option B

Explanation:

Angle traced by hour hand in 17 hrs = 1-sym-oparen-h1 360 x 17 1-sym-cparen-h1 ° = 255°.
2 12 2
Angle traced by min. hand in 30 min. = 1-sym-oparen-h1 360 x 30 1-sym-cparen-h1 ° = 180°.
60

 Required angle = (255 - 180)° = 75°.

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