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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

There are fewer than 30 students in the A-level mathematics class. One half of them play the piano, one quarter play hockey and one seventh are in the school play. How many of the students play hockey?

(A) $3$ (B) $4$ (C) $5$ (D) $6$ (E) $7$

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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.