

If statement 6 is true than B is not the thief. Statement 4 &10 can’t be both true or both false and so 5 & 12 and 9 & 11. Statement 11 & (5 or 8 or 10) can’t be both false. Statement 11 can’t be false with statement 4 or 12 being true. Statement 10 can’t be false with statements 9 or 12 being true. Statement 8 can’t be false with statements 4 or 9 or 12 being true.

Now i started to eliminate the combinations that can’t exist: I gave the statements the number 1-12 (1-3 to suspect A, 4-6 to suspect B etc.) There are 12 statements and only 4 are true. To make things worse, it appeared that the lie detector did not quite work yet as it should, because the machine only reported that exactly four of the twelve statements were true, but not which ones. With so many contradicting statements, the chief of police lost track.

“The thief didn’t know that it was the car of the chief of police.” “In high school, I was in the same class as suspect C.” But the intercepting police had a different criminal profile on their radar for the 64-year-old grandmother that of a car thief. Each suspect gave three statements during the examinations, which are listed below: The police immediately started an investigation and based on witness depositions, four suspects were arrested that were seen near the car at the time of the crime.īecause the chief of police took the case very seriously, he decided to examine the suspects personally and use the new lie detector of the police station. A rather silly car thief stole, without knowing it, the car of the chief of police.
