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UKMT Senior Mathematical Challenge, 2020

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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