A man who lives in Middletown has two girlfriends, one in Northtown and one in Southtown. Trains from the Middletown train station leave for Northtown once every hour. Separate trains from the station also leave for Southtown once every hour. No trains go to both Northtown and Southtown.
Each day he gets to the Middletown train station at a completely random time and gets onto the first train that is going to either Northtown or Southtown, whichever comes first.
After a few months, he realizes that he spends 80% of his days with his girlfriend from Northtown, and only 20% of his days with his girlfriend from Southtown.
How could this be?
The train to Northtown leaves every hour, on the hour (9:00AM, 10:00AM, etc...).
The train to Southtown leaves at 12 after the hour (9:12AM, 10:12AM, etc...).
So there is only a 12/60 (1/5) chance that he will end up on the train to Southtown each day, since he will usually get to the station during the 48 minutes of each hour when the train to Northtown will be the next to come.
Mike was watching TV and all of a sudden he leaps to his feet and says, "That's Simon", pointing at someone who was at the screen.
Then his brother Mark comes in, looks at his brother, then looks back at the TV and says, "So it is."
How do they know Simon if they hadn't seen him before, no pictures, nothing?
A man came to visit at a convent while the superior mother was out of town. He left before she returned, and was careful to leave nothing behind. The nuns said nothing about his visit, so how did the superior mother figure out that a man had been there?
A farmer challenges an engineer, a physicist, and a mathematician to fence off the largest amount of area using the least amount of fence. The engineer made his fence in a circle and said it was the most efficient. The physicist made a long line and said that the length was infinite. Then he said that fencing half of the Earth was the best. The mathematician laughed at the others and with his design, beat the others. What did he do?
The mathematician made a small circular fence around himself and declared himself to be on the outside.
A group of campers have been on vacation so long, that they've forgotten the day of the week. The following conversation ensues.
Darryl: "What's the day? I dont think it is Thursday, Friday or Saturday."
Tracy: "Well that doesn't narrow it down much. Yesterday was Sunday."
Melissa: "Yesterday wasn't Sunday, tomorrow is Sunday."
Ben: "The day after tomorrow is Saturday."
Adrienne: "The day before yesterday was Thursday."
Susie: "Tomorrow is Saturday."
David: "I know that the day after tomorrow is not Friday."
If only one person's statement is true, what day of the week is it?