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Buses on three routes leave a depot every 20, 30 and 40 minutes. All three leave together at 6:00 AM. What is the last time before 9:30 PM that all three leave together?

Competition practiceNumber System, HCF & LCM
  • A9:00 PM
  • B8:00 PM
  • C9:20 PM
  • D8:40 PM

Step-by-Step Solution

They coincide every min: 6 AM, 8 AM, …, 8 PM, 10 PM. The last before 9:30 PM is 8:00 PM.
Answer: B) 8:00 PM

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