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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The multiplication $abc \times de = 7632$ uses each of the digits $1$ to $9$ exactly once. What is the value of $b$ ?

(A) $1$ (B) $4$ (C) $5$ (D) $8$ (E) $9$

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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.