# Can you identify the color of the servant who is speaking the truth?

The king of Octopuses has servants who have six, seven or eight legs. The distinguishing characteristics of the servants is that the one with seven legs always lie but the one with either six or eight legs speak the truth always.

*On a certain night, four servants meet and converse:*

The black one says, ‘We have 28 legs altogether.’

The green one says, ‘We have 27 legs altogether.’

The yellow one says, ‘We have 26 legs altogether.’

The red one says, ‘We have 25 legs altogether.’

Can you identify the color of the servant **who is speaking the truth?**

**The green servant is telling the truth.**

4 servants and only one is saying truth

that means,

Rest 3 are liars and

hence All those 3 liars have 7 legs so 7+7+7=**21**

Now

4 servants can have either 7+7+7+6=**27** legs OR 7+7+7+8=**29** legs.

Since 29 is not an option so its 27 and **hence, the green octopus is telling the truth.**

Since only those with 7 legs are liars and only 1 is telling the truth that means we have 3 * 7 =21 kegs

Those who tell truth have 6 or 8 legs, so the total numbers of legs can be 21+6=27 or 21+8=29.

Only the 27 legs is an option so **the green octopus is telling the truth.**

### Your Answer

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