Jim tells lies on Fridays, Saturdays and Sundays, but tells the truth on all other days. Freda tells lies on Tuesdays, Wednesdays, and Thursdays and tells the truth on all other days. If they both both say "Yesterday I lied", then what is today?

Question

anonymous · Answer

Noday

anonymous · Answer

Jim	Freda
Mon	TRUE	x
tues	x	TRUE
Wed	x	FALSE
thurs	x	FALSE
fri	TRUE	TRUE
Sat	FALSE	x
Sun	FALSE	x

The above may or may not make sense, but I'll try to explain.

x means that they wouldn't say "Yesterday I lied" on that day because it is a day they are telling the truth and the day before was a day they were telling the truth.
TRUE means that "Yesterday I lied" would be true for that day. On days that they lied, they would, of course, lie about yesterday which would get them a "TRUE" and on days that they told the truth, the statement would be true about the previous day.
FALSE means that the statement would not make sense based on their current lie cycle. If they said "yesterday I lied" on the second day of lying, that would get a false because they wouldn't have made that statement on that particular day.

Anyway, it ends up, according to my thinking, that Friday is the day that both of them could say "yesterday I lied" and it would make sense.

anonymous · Answer

Friday. Jim is lying about telling the truth and Freda is telling the truth about lying.