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IKMC 2027 - Grades 9-10 - Self-study SET 5 - Thematic Batch 3 Question 20

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 5 - Thematic Batch 3

Question 20

After fishing, Alex says: “I caught 22 fish; I caught 2 fewer than Bob; Tom caught 1 fewer than me.” Bob says: “Nobody caught more than me; Tom caught 25; the difference between my catch and Tom’s is 3.” Tom says: “I caught fewer than Alex; Alex caught 23; Bob caught 3 more than Alex.” Each person made exactly two true statements and one false statement. What were Alex’s, Bob’s and Tom’s catches, respectively?

Question illustration
  1. 22,23,24
  2. 22,21,25
  3. 23,25,22
  4. 23,22,26
  5. 24,23,22