Maths Olympiad Prep

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, 2008

Number theory Difficulty 1.0 Junior Find the answer Canada

If a=7a = 7 and b=13b = 13, the number of even positive integers less than abab is

(A) ab12\dfrac{ab-1}{2} (B) ab2\dfrac{ab}{2} (C) ab1ab-1 (D) a+b4\dfrac{a+b}{4} (E) (a1)(b1)(a-1)(b-1)

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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.