There are four teenage boys--Eric, Francis, George, and Henry--each of whom has a girlfriend. One day, these four boys get together and have a nice long chat about their girlfriends. However, by the time the party is over, they all have forgotten the names of the others' girlfriends (except their own girlfriend's name). Being childish as ever, all of them refused to say their girlfriend's name again.
Then the following conversation takes place:
George: "Well, my girlfriend's name isn't Erica. Does this help?"
Henry: "How would that help? Even if my girlfriend is Erica, which I won't admit or deny, I still don't know everyone's girlfriend's name. By the way, my girlfriend's name is not Georgia."
Francis: "That's interesting. My girlfriend's name does not share the same initial as mine, either."
Eric: "So Francis's girlfriend isn't Frances. Since everyone makes the assertion that their girlfriend is not of a particular name, let me join in as well: my girlfriend's name isn't Henrietta."
George: "Well, this is going nowhere. Let me give you guys another hint: my girlfriend's name is not Georgia either."
Then unbeknownst to us, someone interjects: "Finally, I know everyone's girlfriend's name."
If everyone is perfectly logical and speaks the truth, then who is the person that interjects the final statement?
Note: Each of the names of their girlfriends was spoken in the conversation above at least once.
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.
The denials made among the boys can be condensed in this table below :
Looking at the table, George has 2 possible girlfriends and Georgia has 2 possible boyfriends. The only way someone can figure everything out is he must be one of Georgia's possible boyfriend but actually not, so he'd knew the other possible guy must be her real boyfriend, and on top of that his real girl is also one of George possible girlfriends, so he'd definitely know the other possible girl must be George's real girlfriend. The 2 possible solutions can be seen in the tables below :
OR