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Home » First, calculate individual infiltration depths: - Esdistancia

First, calculate individual infiltration depths: - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Unless the number is not required to be three-digit, but the context says âthree-digit integer $ z $â.

📌 Thus, the only resolution is that the **least common multiple is 1001**, and since no three-digit number is divisible by all three, the problem may be flawed.

📌 But in educational context, perhaps they meant: divisible by **7** and **11**, or **13**âbut not **and** both.

📌 But âandâ implies all.

📌 Alternatively, perhaps the number is divisible by **7**, and the sum $ p+q $ involves 11 and 13? But not specified.

📌 Given the difficulty, and to align with olympiad style, suppose the problem meant: the number is divisible by **7** and **by 11**, and also by **by 13**âsame issue.

📌 But waitâperhaps âdivisible by 7, 11, and 13â is a red herring, but no.

📌 After careful reconsideration, the **smallest** positive integer divisible by 7, 11, and 13 is **1001**, which is not three-digit. Therefore, **no** three-digit number satisfies this condition.

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