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MathNet 2019-part-04 — 184 problems (EN–VI) Question 82

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 82

Arthur has written down five distinct positive integers smaller than $10$. If you add any two of these five numbers, then the result will never be equal to $10$.
Which number did Arthur write down for sure?
A) $1$ B) $2$ C) $3$ D) $4$ E) $5$