Maths Olympiad Prep

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, 1999

Algebra Difficulty 2.0 Junior Find the answer Canada

If xx and yy are each chosen from the set {1,2,3,5,10}\{1, 2, 3, 5, 10\}, the largest possible value of xy+yx\frac{x}{y}+\frac{y}{x} is

(A) 22 (B) 121212\frac{1}{2} (C) 1011010\frac{1}{10} (D) 2122\frac{1}{2} (E) 2020

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.