Four strong men kidnap a man. They tie him up tightly and lock all the doors. One of the men says "We will each make 2 statements. If you can tell us which of us lies and which of us tell the truth, we will release you. #1 said: 3 people are lying, & 1 tells the truth. #2 said: #1 is a liar & #3 tells the truth. #3said: #2 tells the truth & #1 tells lies. #4 said: #1 tells the truth & #3 liesl Who lies and who tells the truth?
2006-10-18 15:56:25 · 3 answers · asked by Rich G 1 in Science & Mathematics ➔ Mathematics
Suppose #1 tells the truth. Then that would mean that #2, #3, and #4 are all liars. But #4 would not by lying when he said #1 tells the truth. Therefore #1 is a liar.
#4 said #1 tells the truth, and #1 does not. Therefore #4 is a liar.
#2 and #3 both say #1 is a liar - a true statement. Therefore they both tell the truth.
2006-10-18 16:16:36 · answer #1 · answered by Pascal 7 · 1⤊ 0⤋
#1 and #4 are lying
#2 and #3 are telling truths
2006-10-18 16:03:01 · answer #2 · answered by Greg G 5 · 1⤊ 0⤋
they are all lying
2006-10-18 15:59:40 · answer #3 · answered by blackratsnake 5 · 0⤊ 1⤋