Brain Teasers
Chess Tournament 3
10 friends gathered to play in a chess tournament. If a person beat someone else in a game, the person who won received a higher place than the person who lost. With the information below, can you determine the place everyone got?
Boys: Connor, Jeremy, Mark, Matt, Tyler
Girls: Alyssa, Caitlin, Isabella, Kelsey, Megan
1. Matt and Mark got 3rd and 7th place.
2. Connor lost to only one boy and beat every girl.
3. Megan barely beat Caitlin.
4. Isabella and Tyler got the best places for their genders.
5. Matt beat Kelsey.
6. Alyssa only beat one girl and lost to every boy.
7. Jeremy was right behind Isabella and right in front of Kelsey in places.
Boys: Connor, Jeremy, Mark, Matt, Tyler
Girls: Alyssa, Caitlin, Isabella, Kelsey, Megan
1. Matt and Mark got 3rd and 7th place.
2. Connor lost to only one boy and beat every girl.
3. Megan barely beat Caitlin.
4. Isabella and Tyler got the best places for their genders.
5. Matt beat Kelsey.
6. Alyssa only beat one girl and lost to every boy.
7. Jeremy was right behind Isabella and right in front of Kelsey in places.
Hint
Jeremy got 5th place in the tournament.Answer
The results were as follows:1st- Tyler
2nd- Connor
3rd- Matt
4th- Isabella
5th- Jeremy
6th- Kelsey
7th- Mark
8th- Megan
9th- Alyssa
10th- Caitlin
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Comments
Woohoo! First comment! I loved this! Just enough info and IMHO, the hint wasn't at all necessary! Good job!
An alternate solution would result by switching Alyssa to 8th and Megan to 9th. You did say that Alyssa only beat one girl. This does not necessarily mean that Alyssa RANKED ahead of only one girl. Clearly this is not a round robin tournament (i.e., one in which each player plays all other players), or else the odds that everyone could be placed in order, having beaten EVERY player beneath them, would be incredibly small. All we know is that anyone who BEAT another player is ranked above that player. This does not require the inverse.
Also, adding that Alyssa lost to every boy is unnecessary, as it is already known that she is ranked lower than all boys.
Also, adding that Alyssa lost to every boy is unnecessary, as it is already known that she is ranked lower than all boys.
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