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IKMC 2027 - Grades 11-12 - Self-study SET 1 - Thematic Batch 3 Question 11

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 1 - Thematic Batch 3

Question 11

The vertices of a cube are assigned the positive integers 1 through 8, each used once. The sums at the vertices of three faces are 15,18 and 19. Which triple can be the sums on the other three faces?

Editorial note: The source repeats a word in its Vietnamese statement; it is retained.

Question illustration
  1. 19,18,15
  2. 17,18,21
  3. 16,19,21
  4. 17,20,21
  5. Cannot be determined