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IKMC 2027 - Grades 9-10 - Self-study SET 2 - Thematic Batch 3 Question 25

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 2 - Thematic Batch 3

Question 25

Alex and Sam have circular discs divided into three and five equal sectors respectively. Each second Alex’s disc advances one sector and Sam’s advances two sectors clockwise, as shown. Starting together, after how many seconds will both first return to their original states?

Question illustration
  1. 3 seconds
  2. 5 seconds
  3. 8 seconds
  4. 15 seconds
  5. 30 seconds