Brain Teasers
Sore Losers
Ace, Callie, Draco, Emma, Eric, Holly, Leah, Misty, Quinn, and Xander play in a 5 team tournament of five colors: Red, Green, Blue, Black, & White.
There were no ties and the following statements were made:
Ace: Xander's team, Misty's team, The team that placed first, The team that placed 3rd and the green team are all different.
Callie: I placed second & I beat the green team & Emma (who are different).
Draco: Callie, Emma, & Misty are all on different teams.
Emma: Ace, Draco, and Callie all placed better than me.
Eric: The green team beat the blue team within 2.
Holly: The white team placed 3rd. I wasn't on the white team, but Leah was.
Leah: I beat Eric, lost to Callie, and was on the same team as Emma. The white and red teams were in the top 3.
Misty: I was 1 place ahead of the red team & placed 2nd
Quinn: I placed 4th. The blue team is 2nd.
Xander: Red & Callie beat black
But be warned, the 2 players who got in last place are lying!
There were no ties and the following statements were made:
Ace: Xander's team, Misty's team, The team that placed first, The team that placed 3rd and the green team are all different.
Callie: I placed second & I beat the green team & Emma (who are different).
Draco: Callie, Emma, & Misty are all on different teams.
Emma: Ace, Draco, and Callie all placed better than me.
Eric: The green team beat the blue team within 2.
Holly: The white team placed 3rd. I wasn't on the white team, but Leah was.
Leah: I beat Eric, lost to Callie, and was on the same team as Emma. The white and red teams were in the top 3.
Misty: I was 1 place ahead of the red team & placed 2nd
Quinn: I placed 4th. The blue team is 2nd.
Xander: Red & Callie beat black
But be warned, the 2 players who got in last place are lying!
Answer
1st - Red Team - Ace & Draco2nd - Blue Team - Xander & Callie
3rd - White Team - Emma & Leah
4th - Green Team - Holly & Quinn
5th - Black Team - Eric & Misty
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Comments
Wow. I bypassed this when it came out for obvious reasons. It is not a quick little 10 second thought exercise. I am SO glad I came back to it and gave it the attention it deserves. I did not know how to attack this. is it a logic grid? Kinda... Who is lying?
After several false starts listing values and associations, I finally realized I had to list both the value AND who claimed it. That led to Misty says "Red came in 3rd" and Holly says "White came in 3rd". Aha. one of them is lying. Go with Misty. Follow the breadcrumbs.
At the end, Xander's assertion was impossible, but I could see that the contradiction was with Eric saying "Green is 4th and Blue is 5th". So Eric's assertions got thrown out and he was relegated to the 5th place team. I still had to review each statement carefully to confirm my final standings.
Different. Fun! Not for the feint of heart. I very much enjoyed this puzzle. Thank you so much!
After several false starts listing values and associations, I finally realized I had to list both the value AND who claimed it. That led to Misty says "Red came in 3rd" and Holly says "White came in 3rd". Aha. one of them is lying. Go with Misty. Follow the breadcrumbs.
At the end, Xander's assertion was impossible, but I could see that the contradiction was with Eric saying "Green is 4th and Blue is 5th". So Eric's assertions got thrown out and he was relegated to the 5th place team. I still had to review each statement carefully to confirm my final standings.
Different. Fun! Not for the feint of heart. I very much enjoyed this puzzle. Thank you so much!
Darn homonymns. This is not for the faint of heart. My feint of heart was to initially act like I was not interested, only to come back and find I love this teaser.
I made sure to have some confirm each others statements
Callie's, Draco's, & Emma's for example
Callie says she beat Emma
Emma says she lost to Callie (And Draco)
Draco says they are on different teams
Since Callie's & Emma's are basically saying the same thing, they have to be both lying or both telling the truth
Draco's statement confirms they're telling the truth because only one team is in last (If Draco is lying, all 3 can't be on the last team still confirming)
Therefore Emma's statement of Draco beat me is true & Draco has to be telling the truth
And that's how I started reverse-engineering the puzzle
Callie's, Draco's, & Emma's for example
Callie says she beat Emma
Emma says she lost to Callie (And Draco)
Draco says they are on different teams
Since Callie's & Emma's are basically saying the same thing, they have to be both lying or both telling the truth
Draco's statement confirms they're telling the truth because only one team is in last (If Draco is lying, all 3 can't be on the last team still confirming)
Therefore Emma's statement of Draco beat me is true & Draco has to be telling the truth
And that's how I started reverse-engineering the puzzle
The scip model that I used to solve this can be found at
https://gist.github.com/saska-gist/
11b67294d7d17b646548eeedc917d7c0
https://gist.github.com/saska-gist/
11b67294d7d17b646548eeedc917d7c0
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