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The previous answer is just stupid. There are MANY times the clock makes 90 degree angles.

12:15, 12:45, 1:20, 1:50, 2:25, 2:55, 3:00, 3:30, 4:05, 4:35, 5:10, 5:40, 6:15, 6:45, 7:20, 7:50, 8:25, 8:55, 9:00, 9:30, 10:05, 10:35, 11:10, 11:40.

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Q: Hands of clock make 90 degree angles?
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