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4024/13 May/Jun 2025, Question 11: HCF and LCM

Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Two lights flash at intervals of 12 and 45 minutes, together at 9 am. Find the next time they flash together.

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Solution · 3 marks

  1. 112 = 2² × 3, 45 = 3² × 5
  2. 2LCM = 2² × 3² × 5 = 180
  3. 3180 minutes = 3 hours
  4. 49 am + 3 hours = 12:00 (12 pm)

Answer12:00 or 12 pm

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