Maths Olympiad Prep

Library / /338 of 475

, 2008

Algebra Difficulty 2.0 Junior Find the answer Canada

If 3p103\le p\le 10 and 12q2112\le q\le 21, then the difference between the largest and smallest possible values of pq\dfrac{p}{q} is

(A) 2942\dfrac{29}{42} (B) 295\dfrac{29}{5} (C) 1970\dfrac{19}{70} (D) 1912\dfrac{19}{12} (E) 1984\dfrac{19}{84}

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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.