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An accurate clock is showing the time as 1:45. If the minute hand points towards South, in what direction will the hour hand point?

Solution

✅ Correct Option: 3

At 1:45 the minute hand is at the 9-mark and the hour hand is at 30+0.5(45)=52.530 + 0.5(45) = 52.5 degrees from 12, i.e. between 1 and 2.

The angle between them measured clockwise from the hour hand to the minute hand is 270−52.5=217.5270 - 52.5 = 217.5 degrees. Since the minute hand is South, rotate back 217.5217.5 degrees from South, giving about 322.5322.5 degrees on the compass, which is North-West.

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