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MathNet 2026 — Part 01 Question 187

Math Olympiad Vault · MathNet 2026 — Part 01

Question 187

Cururu is a strange frog, which moves only with two types of heels: type I: $10~\mathrm{cm}$ to the east and $30~\mathrm{cm}$ north; Type II: $20~\mathrm{cm}$ to the west and $40~\mathrm{cm}$ to the south.

Question illustration


a. as Cururu does to reach a point located at $190~\mathrm{cm}$ to the east and $950~\mathrm{cm}$ to the north of your house?


b. It is possible to get a cururu to a point located at $180~\mathrm{cm}$ to the east and $950~\mathrm{cm}$ to the north of your house?