The Magic Octopuses
In the magic sea live octopuses who can talk. Each octopus either always tells the truth or always lies. One day
the following conversation took place between four octopuses, Avi, Benny, Gidi, and Danny:
Avi: I am a green octopus
Benny: I am not green
Gidi: All green octopuses are liars
Danny: Only a green octopus can be a liar
It is known that only one of these four is a liar, and the rest are truthful.
a. Who is the liar among the four friends? Explain!
b. Is it possible to know what his color is?
Difficulty level (1 very easy - 10 very hard): 2
Topics:
Logic
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Reasoning / Logic
Combinatorics
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Case Analysis / Checking Cases
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Processes / Procedures
Logic
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Truth-tellers and Liars Problems
- Young Mathematician Olympiad, 2017-2018, Final, Grades 3-4 Question 6
- Young Mathematician Olympiad, 2017-2018, Final, Grades 5-6 Question 4
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