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Math Puzzle: March Math-ness


aum

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Alice, Bob, Celia and Dylan are playing in a one-on-one basketball tournament. Alice will play Bob, Celia will play Dylan, and the winners of those games will play each other to determine the grand champion.

 

You and two friends have made brackets predicting who will win each game. A bracket scores one point for each correct prediction of a game’s winner. You and your friends made the following brackets:

 

You:

 

saw032026_brackets_d1_TEXT.png?m=1774031

 

Friend 1:

 

saw032026_brackets_d2_TEXT.png?m=1774031

 

Friend 2:

 

saw032026_brackets_d3_TEXT.png?m=1774030

 

Although you all miss the tournament, someone who does watch it scores your brackets. You can see each other’s brackets, but each of you only knows your own score. The following conversation ensues:

You: I don’t know the results of the tournament.

Friend 1: Neither do I.

Friend 2: I didn’t know before you just said that, Friend 1, but I do now.

You and your friends are great at logic and were able to draw conclusions from one another’s statements over the course of the conversation.

 

Who won the tournament?

 

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