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MathNet 2023-part-06 — 191 problems (EN–VI) Question 30

Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)

Question 30

What is the smallest positive integer $n$ for which the interval $\left[\frac{n+8}{2}, \frac{2 n+14}{3}\right]$ contains at least 4 positive integers?

(A) 16
(B) 17
(C) 18
(D) 19
(E) None of the above.