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A power cut began at the time on clock A and ended at the time on clock B, on the same afternoon. How many times did the clock's hands point in exactly opposite directions during the power cut?

Competition practiceClocks
  • A7
  • B6
  • C5
  • D12

Step-by-Step Solution

The hands are opposite when the relative angle minutes after 12) is : at 12:32, 1:38, 2:43, 3:49, 4:54, 6:00, 7:05, 8:10 (approx.). Between 1:15 and 7:30 that is 1:38, 2:43, 3:49, 4:54, 6:00, 7:05: 6 times.
Answer: B) 6

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