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MathNet 2018-part-05 — 181 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 114

The brothers Jure, Klemen, Luka, Miha and Nace bought a chocolate bar. When they unwrapped it, they found that it was broken into 7 pieces (see the figure), so they divided these 7 pieces among themselves. Jure ate the largest piece of chocolate. Klemen and Luka ate the same amount of chocolate, but Klemen ate 3 pieces and Luka only 1 piece. Miha ate $\frac{1}{7}$ of the whole chocolate bar. Nace ate the rest of the chocolate. Which piece of chocolate

Question illustration

in the figure did Nace eat?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5