Maths Olympiad Prep

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, 2016

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

When the positive integer xx is divided by 6, the remainder is 3. What is the remainder when 3x3x is divided by 6?

(A) 44 (B) 33 (C) 22 (D) 11 (E) 00

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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.