Truly, a Liar
Logic
Level
3
Jake lies a lot. He lies every day of the week except ONE particular day when he tells the truth. Here are the statements made by him on three certain consecutive days:
- I lie on Mondays and Tuesdays.
- Today is either Thursday or Saturday or Sunday.
- I lie on Wednesdays and Fridays.
On which day of the week does he tell the truth?
Tuesday
Saturday
Monday
Thursday
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The 1st and 3rd statements seem similar. Let's start with them. The 1st and 3rd statements cannot both be true, and can't both be false too since Jake tells the truth on only one day of the week. this means that one of them is false and the other is true. so the 2nd statement is necessarily false.
Case 1 (1st stat. is true) implies that jake tells the truth on wednesday or friday and 1st statement may have been made on wednesday or friday. in either of the cases(wed or fri) the 2nd statement made on the next day becomes true which is contradicting. so this condition is ruled out.
Case 2 (3rd stat. is true) implies that jake tells the truth on monday or tuesday and 3rd statement may have been made on monday or tuesday. in the case of monday, again statement 2 made on the previous day, becomes true which contradicts. so the day left with us is TUESDAY.
So Jake tells the truth on Tuesday.