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Mathematics 19 Online
OpenStudy (alli6106):

In the kingdom of Akram there is a problem with crossroad signs. At every crossroad there is only one safe path to choose. Unfortunately, many of the signs in Akram are false. In fact, at least one sign at every crossroad is false. You are traveling in Akram and come to a crossroad with three paths and three corresponding signs: A: At least one of signs B and C is true. B: At least one of signs A and B is true. C: Don't take road C. Which road should you take?

OpenStudy (jojokiw3):

Under the assumption that the corresponding signs aren't lying. Sign 1 says either Path B or Path C is safe. Sign 2 says that either Path B or Path A is safe. Sign 3 says that Path C is not safe. Looking at the logic here, Path C is already out of consideration, thus we're left with Path B and Path A. Since Sign 1 leaves us with only Path B, and Sign 2 doesn't contradict, it's safe to assume Path B is the safe one.

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