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IKMC 2014 - Grades 7-8 - Self-study Question 15

IKMC · IKMC 2014 - Grades 7-8 - Self-study

Question 15

The heart and arrow start in the shown positions. In each routine, the arrow moves three places clockwise and the heart moves four places anticlockwise, then both stop. They repeat this together. After how many routines will they first land in the same triangular region?

Question illustration
  1. 7
  2. 8
  3. 9
  4. 10
  5. It will never happen