Geometry · Area on a grid · Triangle area · Trapezoid area · Logical elimination
Five brothers - Jure, Klemen, Luka, Miha and Nace - bought a bar of chocolate. When they unwrapped it, they found that it had snapped into the seven pieces shown below, so they shared those seven pieces out among themselves. Jure ate the largest piece. Klemen and Luka ate equal amounts of chocolate, but Klemen's share was three pieces and Luka's was one. Miha ate exactly one seventh of the whole bar. Everything that was left went to Nace. Which of the numbered pieces did Nace eat?
- A \(1\)
- B \(2\)
- C \(3\)
- D \(4\)
- E \(5\)
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2018, 1. letnik, category A, problem A1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source