George Summers puzzle

hello

          I am posting here a puzzle from a book written by George Summers.

  THE THREE LETTER WORD

    Here is a list of words:

  INN      PEN       PET       PIE      TEE     TIE

 1. Three logicians are told, " I have told each of u one of the three letters in a word listed

     before u so that the three known letters together spell the word."

2. Then they are told, " None of u can tell how many vowels the word has."

3. Then they are told, " At this point still none of u can tell how many vowels the word has."

4. Then one of the three logicians says he knows what the word is.

 WHAT IS THE WORD.

I think most of the people have read George Summers book on puzzles.

thank u

shahid

__________________

n/a

heyy

wats the answer for this?

or just gv a clue

is da qn complete r u sure?

is da qn complete
r u sure?

Simple Solution

The hint is

"None of u can tell how many vowels the word has"

And I know the letters can be I,N,P,E,T

So conisder the case for I
If someone has I then words can be INN,PIE,TIE which have 1,2,2 vowels so definitely
I can't tell if the word has 1 or 2 vowels. Thats what the problem says!
So how does it help us?
Consider N -> Words are INN , PEN both have 1 vowel. So If anybody gets N he is sure that the word
has 1 vowel so all words with N are eliminated. 
So left with 
I , P , T , E
again next time when he asks for I -> 2,2 vowels (remember PEN and INN) are eliminated. So if anyone
gets I he can tell that the word has 2 vowels so we eliminate it and hence left with choices
P,T,E
Do I need to write the answer and spoon fed ;). Figure it out urselves.

Animesh Saxena



Solution for the problem.

The answer should be TEE.

The final two words left after the elimination are PET and TEE.
Because at least one of the three would know the number of vowel
,if he is given INN and PEN. Similarly PIE and TIE could be eliminated.

Now left with PET and TEE, You could eliminate PET as this should be only
word left with P.

So TEE should be the answer.

But, I personally think that logicians cannot be such dimwit not to say that the
word remaining in the last should have two vowels.

Anjum Kabir

Solution to the above question.

Answer should be TEE.
But I am pretty flummoxed over the idea that
logicians cannot tell the number of vowels in
the word which remains after all the eliminations.

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