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, 2018

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

The sum of five consecutive integers is $10^{2018}$ . What is the middle number?

(A) $10^{2013}$ (B) $5^{2017}$ (C) $10^{2017}$ (D) $2^{2018}$ (E) $2\times 10^{2017}$

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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.