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°
