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, 2005

Number theory Difficulty 2.0 Junior Find the answer Canada

A test has ten questions. Points are awarded as follows: Each correct answer is worth 3 points. Each unanswered question is worth 1 point. Each incorrect answer is worth 0 points. A total score that is not possible is

(A) $11$ (B) $13$ (C) $17$ (D) $23$ (E) $29$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.