posted 18 years ago
A did it.
If five statements are not true, then three of them are true.
Upon examination, there exists a set of three statements of which at most one is false; this is the set {A1, C1, D1}.
If we assume that all of these statements are true, then B is guilty.
However, then there would be four true statements, because C2 would then have to be true.
Therefore, B did not commit the murder, and one of {A1, C1, D1} is false and the other two are true.
Therefore, one and only one of {A2, B1, B2, C2, D2} is true.
From above, we know that C2 is False; therefore B2 is true and A2, B1, and D2 are false.
Since B1 is False, D1 is True.
Since D2 is False, C1 is True.
Since D1 and C1 are both true, then A1 must be false.
Therefore, A committed the murder.
A:
1: FALSE
2: FALSE
B:
1: FALSE
2: TRUE
C:
1: TRUE
2: FALSE
D:
1: TRUE
2: FALSE
[This message has been edited by Joel McNary (edited November 13, 2001).]
Piscis Babelis est parvus, flavus, et hiridicus, et est probabiliter insolitissima raritas in toto mundo.