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, 2005

Number theory Difficulty 2.0 Junior Find the answer Canada

When 14 is divided by 5, the remainder is 4. When 14 is divided by a positive integer $n$ , the remainder is 2. For how many different values of $n$ is this possible?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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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.