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At 3:40, the hour hand and the minute hand of a clock form an angle of:

Correct Answer: 130°

Explanation:

Angle traced by hour hand in 12 hrs. = 360°.



Angle traced by it in 11 hrs = 360 x 11 ° = 110°.
3 12 3


Angle traced by minute hand in 60 min. = 360°.



Angle traced by it in 40 min. = 360 x 40 ° = 240°.
60


∴ Required angle (240 - 110)° = 130°.


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