### Brain Teasers

# Eleven Up

Four players, Goenitz, Yashiro, Shermie, and Chris, are playing a game called "Eleven Up". The goal of this game is to get as many pairs of cards as possible that add to 11. The game deck has 24 cards, including 2 sets numbered 0 to 11. The cards have been dealt evenly among the 4 players.

After dealing, the four players have discovered that the game is a tie, because they each have the same number of pairs totaling 11.

Here are the clues:

1. Goenitz's 6 cards are consecutive.

2. Yashiro and Shermie together have 3 of the 4 highest single cards.

3. The sum of Yashiro's 2 lowest cards equals the difference between his two highest ones.

4. Chris's 3 highest cards are all even, but Shermie's 3 highest ones are all odd.

5. Yashiro and Shermie have 2 pairs of cards that are the same.

Which cards does each player have?

After dealing, the four players have discovered that the game is a tie, because they each have the same number of pairs totaling 11.

Here are the clues:

1. Goenitz's 6 cards are consecutive.

2. Yashiro and Shermie together have 3 of the 4 highest single cards.

3. The sum of Yashiro's 2 lowest cards equals the difference between his two highest ones.

4. Chris's 3 highest cards are all even, but Shermie's 3 highest ones are all odd.

5. Yashiro and Shermie have 2 pairs of cards that are the same.

Which cards does each player have?

### Hint

Find the possible combinations of 11. Then make a chart and eliminate the impossibilities.### Answer

Goenitz's cards are 3, 4, 5, 6, 7, and 8.Yashiro's cards are 0, 1, 2, 9, 10, and 11.

Shermie's cards are 0, 2, 4, 7, 9, and 11.

Chris's cards are 1, 3, 5, 6, 8, and 10.

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