Maths Olympiad Prep

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UKMT Pink Kangaroo, 2026

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

A farmer has dogs, sheep, goats, pigs and chickens on her farm. There are more chickens than pigs, more pigs than goats, more goats than sheep and more sheep than dogs. There are half as many dogs as chickens. The total number of animals is as small as it could be. How many animals are there on her farm?

(A) 2828 (B) 3030 (C) 3232 (D) 3434 (E) 3636

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