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How many times are the hands in one straight line (overlapping or pointing opposite ways) strictly between 1 p.m. and 5 p.m.?

Competition practiceClocks
  • A8
  • B7
  • C4
  • D10

Step-by-Step Solution

Overlaps happen every 65 5/11 min: about 1:05, 2:11, 3:16, 4:22, i.e. 4 times. Opposites fall in between: about 1:38, 2:44, 3:49, 4:55, another 4. Total 8. (4 counts only overlaps.)
Answer: A) 8

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