Maths Olympiad Prep

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Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

"I can swim faster than you," said the dolphin to the shark. "That is not true," said the shark to the dolphin. "You are both wrong," said the octopus to the dolphin and the shark. "You are right," said the starfish to the octopus. How many of the dolphin, shark, octopus and starfish were telling the truth?

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

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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.