Maths Olympiad Prep

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Combinatorics Difficulty 1.0 Junior Find the answer United Kingdom

Freda likes even numbers, Greta likes numbers divisible by 3 and Hattie likes numbers divisible by 5. A basket contains eight balls, each with a number written on. The three girls went in turn to the basket and took all the balls with a number on that they like. Freda collected balls with numbers 32 and 52 on, Greta collected balls with numbers 24, 33 and 45 on and Hattie collected balls with numbers 20, 25 and 35 on. In what order did the girls go to the basket?

(A) Freda, Hattie, Greta (B) Hattie, Greta, Freda (C) Greta, Freda, Hattie (D) Greta, Hattie, Freda (E) Hattie, Freda, Greta

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