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From the time shown, when will the hands next point in exactly opposite directions?

Competition practiceClocks
  • A21 9/11 min past 8
  • B43 7/11 min past 8
  • C10 min past 8
  • D10 10/11 min past 8

Step-by-Step Solution

The clock shows 8:05. At 8:00 the minute hand is 240° behind the hour hand (120° ahead the other way). Opposite means 180° behind: 240 − 5.5m = 180, so m = 60 ÷ 5.5 = 10 10/11 min past 8. (43 7/11 is when they overlap; 10 min ignores the hour hand moving.)
Answer: D) 10 10/11 min past 8

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