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…
Question and options
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
Total points Team F scored was
| 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
Total points Team F scored was
- 0
- 1
- 2
- 3
Answer and explanation
Correct answer: C - 2
Total points = 15 matches x 2 = 30; A+B+C+D+E = 8+6+5+5+4 = 28, so F scored 2 (draws with D and E, losses to A, B, C).
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