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MathNet 2018-part-02 — 181 problems (EN–VI) Question 106

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 106

A plus or a minus sign is placed between every pair of consecutive digits in the sequence $0\ 1\ 2\ 3\ 4\ 5\ 6\ 7\ 8\ 9$.

a) Find the smallest positive odd number that cannot be equal to the value of the resulting expression.

b) Find the smallest positive even number that cannot be equal to the value of the resulting expression.