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FMO 2026 - Grade 9 - International - Paper 09 Question 5

FMO · FMO 2026 - Grade 9 - International - Paper 09

Question 5

Three siblings named Fermat (F), Euclid (E), and Pythagoras (P) have different heights. One day, they talk to each other:
Pythagoras: “I am not the tallest.”
Euclid: “I am the tallest.”
Fermat: “I am not the shortest.”
Only one of them says the truth. Can you list their height in order from the tallest to the shortest?

Original choices: A) F, E, P; B) P, F, E; C) E, P, F; D) P, F, E; E) E, F, P.

Editorial grading note: this item uses a text answer. Enter the height order, or the letter of an equivalent original choice.