Brain Teasers
Speaking of Tennis...
Heather, her father, her husband, and her daughter are playing a tennis game. One of them says truthfully:
"I am standing directly across the net from the server's daughter. My partner, who is on the same side of the net as me, is standing directly across the net from the receiver's father. The server and the receiver are standing diagonally across the net from each other."
Who said this?
"I am standing directly across the net from the server's daughter. My partner, who is on the same side of the net as me, is standing directly across the net from the receiver's father. The server and the receiver are standing diagonally across the net from each other."
Who said this?
Answer
Heather's father said this.From the speaker's first two statements, we know that the court is set up like this:
speaker | speaker's partner
_________________
server's daughter | receiver's father
From the speaker's last statement, we have two scenarios:
1. The receiver's father is the server and the speaker is the receiver.
2. The speaker's partner is the server and the server's daughter is the receiver.
If scenario 1 is true, then the receiver's father is the father of both the receiver and the server's daughter. But no one is the father of more than one person, so this is impossible.
This means that scenario 2 is true. Since the receiver was the server's daughter, she was the daughter of both the server and the receiver's father. This means that the server is Heather herself, the receiver's father is Heather's husband, and the server's daughter is Heather's daughter. The fourth player, the speaker, could clearly only have been Heather's father now.
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Comments
I could NOT wrap my head around this one. I had to simmer on this for the day, testing each of the four players as a potential speaker. I believed I eliminated three, leaving Gramps as the only alternative, but I was less than certain. Reading the answer, I had to pause at each step to say, "what? why?!" and figure out the logic.
I am really impressed with the people that could see this logic clearly. This is a fantastic puzzle. The setup is simple, but the logic was anything but easy for me.
I enjoyed this greatly. Super-fun for math geeks and nerds of all kinds. There is beauty in logic.
I am really impressed with the people that could see this logic clearly. This is a fantastic puzzle. The setup is simple, but the logic was anything but easy for me.
I enjoyed this greatly. Super-fun for math geeks and nerds of all kinds. There is beauty in logic.
Good teaser, wimpykidfan37.
Congratulations wimpykidfan37, on having one of your teasers selected for the Daily Brain Teaser!
The optimization model that I used to solve this with scip can be found at
https://gist.github.com/saska-gist/
5fbb069244a8b317beb0fe353e9e4d16
https://gist.github.com/saska-gist/
5fbb069244a8b317beb0fe353e9e4d16
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