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The reflex angle between the hands of a clock at 9.35 is?

A.	270°	B.	77.5°
C.	282.5°	D.	300°

Answer and Explanation

Answer:282.5°

Explanation:
Angle traced by the hour hand in 12 hours = 360°
Angle traced by the hour hand in 9 hours 35 minutes = (360 * 115) / (12 * 12) = 287.5°
Angle traced by the minute hand in 60 minutes = 360°
Angle traced by the minute hand in 35 minutes = 210°
Therefore, the angle between the hour hand and the minute hand at 9.35
= (287.5 – 210) = 77.5°
Reflex angle = 360 – 77.5 = 282.5°

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