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The clock shows 20 min 40 s past 7, with the seconds hand drawn in red. What is the angle between the hour hand and the minute hand?

Competition practiceClocks
  • A96 1/3°
  • B96°
  • C100°
  • D263 2/3°

Step-by-Step Solution

Time = 7 h 20 2/3 min. Hour hand: 210 + (62/3) × 0.5 = 220 1/3°. Minute hand: (62/3) × 6 = 124°. Angle = 96 1/3°. (100° ignores the seconds altogether; 263 2/3° is the reflex side.)
Answer: A) 96 1/3°

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