John is tryng to locate Tom's house. All he knows is that Tom lives on a street with houses numbered from 8 to 100.

John asks Tom:

"Is your house number bigger than 50?"

Tom answers him, but he lies. (John doesn't know that he's lying) John continues to ask:

"Is your house number a multiple of 4?"

Tom answers and again, he lies. Then John asks:

"Is your house number the square of an integer?"

Tom answres, but this time he tells the truth. Finally, John asks:

"Is the first digit of your house number 3?"

After Tom answers (we don't know if he lied or not) John declares Tom's house number, but he is wrong! What is Tom's house number?

(In reply to The answer is... by Freshter)

Something didn't post properly. In the question analysis section of my answer, it should read as follows:

Q1: answer - no, veracity - false
X is greater than 50 and less than 101
Q2: answer - yes, veracity - false
X cannot equal 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 or 100
Q3: answer - yes, veracity - true
X must = 81, the only square above 50 that has not been eliminated

I uses GT and LT symbols and the system must have tried to interpret them as html. Sorry.

Posted by Freshter on 2002-05-31 22:16:47