# Which octopus is telling the truth?

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King Octopus has servants with six, seven, or eight legs.
The servants with seven legs always lie, but the servants with either six or eight legs always say the truth.

One day, four servants met.
The blue one says: "Altogether we have 28 legs";
the green one says: "Altogether we have 27 legs";
the yellow one says: "Altogether we have 26 legs";
the red one says: "Altogether we have 25 legs".

What is the colour of the servant that says the truth?

posted Feb 17, 2014

Since the four are disagreeing then 3 must be lying. Since only octopuses with 7 legs lie then there must be 7×3=21 legs.

That leaves the honest octopus with either 6 or 8 legs. So the total number of legs should either be 21+6=27 legs or 21+8=29 legs.

Since no one says that they have 29 legs then only the Green octopus is saying the truth.

keep it up  nice

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