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IKMC 2027 - Grades 5-6 - Self-study SET 3 - Thematic Batch 3 Question 14

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 3 - Thematic Batch 3

Question 14

The outline of a mound is shown, with a frog initially at the topmost M. It repeatedly jumps clockwise over one vertex to the next, until its visited-letter sequence contains “MATH” 2020 times. How many complete circuits around the mound has it made by then?

Question illustration

Editorial clarification: Count complete circuits; include the starting M in the visited-letter sequence.
  1. 1004
  2. 1345
  3. 2018
  4. 1346
  5. 1005