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VTMO 2026 - Grade 7 - Semifinal - SET 4 - Self-study Question 18

VTMO · VTMO 2026 - Grade 7 - Semifinal - SET 4 - Self-study

Question 18

In a game, each of four friends $A,B,C,D$ wears a shirt numbered 6, 7 or 8. Anyone wearing 7 must always lie, while anyone wearing 6 or 8 must always tell the truth. Asked for the sum of the four shirt numbers, they reply:

A: “The sum is 28.”

B: “The sum is 27.”

C: “The sum is 26.”

D: “The sum is 25.”
What number is on B's shirt?

Question illustration