In a certain country lived two and only two groups of people, SHERANDOMEN and HANDLEYMEN. The Sherandomen were incurable liars who never told the truth. The Handleymen were incapable of telling a lie.
A stranger, visiting in this land, asked 3 natives of
the country to which groups they belonged.
The first man said something the visitor did not
hear.
The second said, "He said he is a Handleyman."
The third man immediately retorted, "The first man
is a liar because he is a Sherandoman."
How many Sherandomen and how many Handleymen are there among the three natives? Can you tell which ones are Handelymen and which ones are Sherandomen? Explain.
Solution:
There were two HANDLEYMEN and one SHERANDOMAN.
The first had to say, "I am a Handleyman,"
whether he was or not.
The second man told the truth and is a
Handleyman.
If the first man lied, the third man told the
truth; if the first man told the truth, the
third man lied.
Correctly solved by:
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