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Number theory Difficulty 1.0 Junior Find the answer United Kingdom

The sum of three different positive integers is 7. What is the product of these three integers?

(A) $12$ (B) $10$ (C) $9$ (D) $8$ (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.