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IKMC 2009 - Grades 11-12 - Paper 02 - Self-study Question 12

IKMC · IKMC 2009 - Grades 11-12 - Paper 02 - Self-study

Question 12

There are 2009 kangaroos, each light or dark. One light kangaroo is taller than exactly 8 dark kangaroos, one than exactly 9, one than exactly 10, and so on, with exactly one taller than all dark kangaroos. How many are light?

Intended reading: this consecutive list accounts for all light kangaroos.
  1. 1000
  2. 1001
  3. 1002
  4. 1003
  5. This situation is impossible