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IKMC 2027 - Grades 7-8 - Self-study SET 7 - Thematic Batch 3 Question 4

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 7 - Thematic Batch 3

Question 4

Seven table-tennis balls numbered 1 through 7 are in a box. Hak first takes any three, then Ank takes two of the remaining balls. Neither knows the other's numbers. Looking only at his own three balls, Hak is certain that Ank's two numbers have an even sum. What is the sum on Hak's three balls?

Question illustration
  1. 10
  2. 12
  3. 14
  4. 16
  5. 18