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Problem 15 - Entrance Test

At 3 o'clock, the minute hand points towards the East. In which direction will the hour hand point at 9 o'clock?

Correct: A

In a standard clock: - At 3 o'clock, the hour hand points East and the minute hand points North. - At 9 o'clock, the hour hand points West and the minute hand points North. According to the problem statement: At 3 o'clock, the minute hand points towards the East. In a standard clock, the minute hand points North at 3 o'clock. If North is now East, this implies a 90-degree clockwise rotation of the entire compass. Applying this rotation: - Standard North becomes East. - Standard East becomes South. - Standard South becomes West. - Standard West becomes North. Now, consider 9 o'clock. In a standard clock, the hour hand points towards the West at 9 o'clock. Since, due to the rotation, Standard West has become North, the hour hand will point towards North at 9 o'clock in this rotated setup.