Maths Olympiad Prep

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Problem 390

Number theory Difficulty 2.0 Find the answer UKMT Junior Mathematical Challenge · United Kingdom · 2026

In Poppy’s pond there are frogs and snakes. Four-fifths of the frogs are green frogs and six-sevenths of the snakes are black snakes. Which of the following could not be the total number of creatures in Poppy’s pond?

(A) 2222 (B) 2323 (C) 2424 (D) 2626 (E) 2727

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