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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The range of a list of integers is 20, and the median is 17. What is the smallest possible number of integers in the list?

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

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.