and I hope we’re talking wall switches here, because if the switch board for the whole hose only has 3 switches, I’m going to go ahead and say that the wiring problem is a little bigger
Five persons A, B, C, D and E chat:
[list][list][list][list][list]A: “B lies if and only if D is telling the truth.”
B: “If C is telling the truth, then either A or D is a liar.”
C: “E lies, and also A or B lie.”
D: “If B is telling the truth, then A or C too.”
E: “Among the persons A, C and D is at least one liar.”[/list:u][/list:u][/list:u][/list:u][/list:u]
Two persons are lying. Which?
[tab]In your previous post you were saying that A and B were liars, but that is not possible that both A and B are liars. Now you are saying that A and E are liars, but it is also not possible that both A and E are liars.[/tab]
Please try again.
Sanjay, we are supposed to put our answers in a tab so that others don’t see it unless they want to.
And I can see that this puzzle also has a communication issue that depends on interpretation.[tab]A: “B lies if and only if D is telling the truth.”
If that is a lie, all you know is that B is independent of D.
B: “If C is telling the truth, then either A or D is a liar.”
If that is a lie, then if C is telling the truth, both A or D are true.
C: “E lies, and also A or B lie.”
If that is a lie, either E is true or both A or B are true.
D: “If B is telling the truth, then A or C too.”
If that is a lie, then if B is telling the truth, both A and C are lies.
E: “Among the persons A, C and D is at least one liar.”
If that is a lie, A, C, and D are true.[/tab]