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VTMO 2013 — Grade 5 — final Question 4

VTMO · VTMO 2013 — Grade 5 — final

Question 4

A box contains cards numbered $1$ to $7$. The first person randomly takes $3$ cards, and the second takes $2$ of the remaining cards. The first person knows for certain that the second person’s sum is even. What is the sum of the first person’s cards?