# A number theory problem by Arpit MIshra

**Number Theory**Level 2

Four servants of the King Octopus were conversing on a particular celebration night.

They said the following things: The Orange one said, “In total, we have 28 legs.” The Pink one said, “In total, we have 28 legs.” The Blue one said, “In total, we have 28 legs.” The Green one said, “In total, we have 28 legs.”

Now there is one thing particular about the servants. All of the servants have either 6 or 7 or 8 legs. Also, the ones with seven legs always lie while the ones with 6 or 8 legs are always truthful.

By reading the conversation, and with the given facts, can you find out the color of the servant who is telling the truth?

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.