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The clock shows 20 minutes and 30 seconds past 3, with the seconds hand on 6. What is the angle between the hour hand and the minute hand?

Competition practiceClocks
  • A22.5°
  • B25°
  • C22.75°
  • D20°

Step-by-Step Solution

Time = 3 h 20.5 min. Hour hand: °. Minute hand: °. Angle = 22.75°. (20° ignores the 30 seconds; 22.5° moves only the minute hand for them.)
Answer: C) 22.75°

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