In a football tournament six teams A, B, C, D, E, and F participated. Every pair of teams had exactly one match among them. For any team, a win fetches 2 points, a draw fetches 1 point, and a loss…
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In a football tournament six teams A, B, C, D, E, and F participated. Every pair of teams had exactly one match among them. For any team, a win fetches 2 points, a draw fetches 1 point, and a loss fetches no points. Both teams E and F ended with less than 5 points. At the end of the tournament points table is as follows (some of the entries are not shown):
It is known that: (1) team B defeated team C, and (2) team C defeated team D
Which team has the highest number of draws?
| Teams | Played | Wins | Losses | Draws | Points |
|---|---|---|---|---|---|
| A | 5 | 0 | 8 | ||
| B | 5 | 2 | 6 | ||
| C | 5 | 2 | 5 | ||
| D | 5 | 1 | 5 | ||
| E | 5 | 1 | |||
| F | 5 |
It is known that: (1) team B defeated team C, and (2) team C defeated team D
Which team has the highest number of draws?
- A
- C
- D
- E
Answer and explanation
Correct answer: D - E
From points and losses: A 3W 2D, B 3W 0D, C 2W 1D, D 1W 3D, E (under 5 pts, 1 loss) 0W 4D = 4 pts, so F has 30-28 = 2 pts. B has no draws so E lost to B and drew A, C, D, F; A beat B and C; C beat D and F; D (only loss to C, B cannot draw) beat B and drew A and F; B beat F; A beat F. E has the most draws (4).
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