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A clock is started at noon. By 20 minutes past 6, the hand had has turned through:

Solution

Correct Option: 4

The hour hand turns 30 degrees per hour (360/12). From noon to 6:20 is 6 hours and 20 minutes, or 6+20/60=19/36 + 20/60 = 19/3 hours. Angle turned = 30×19/3=19030 \times 19/3 = 190 degrees.

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