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IKMC 2021 - Grades 7-8 - Set 2 - Self-study Question 28

IKMC · IKMC 2021 - Grades 7-8 - Set 2 - Self-study

Question 28

A town has 21 truthful knights and 2000 lying knaves. A wizard pairs 2020 of them into 1010 pairs. Each person calls their partner a knight or knave. In total 2000 are called knights and 20 are called knaves. How many pairs contain two knaves?
  1. 980
  2. 985
  3. 990
  4. 995
  5. 1000