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IKMC 2027 - Grades 5-6 - Self-study SET 10 - Thematic Batch 3 Question 23

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 10 - Thematic Batch 3

Question 23

A box contains seven cards labelled 1 through 7, each once. Bob first draws three cards, then Ben draws two, leaving two in the box. Bob says that he knows Ben’s two numbers have an even sum. His claim is certain whatever two cards Ben draws from those remaining. What is the sum of Bob’s three numbers?

Question illustration
  1. 10
  2. 12
  3. 6
  4. 15
  5. Cannot be determined