IPMAT Indore 2021
DILR
Tournaments
Hard
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
| 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 |
Total points Team F scored was
Total points Team F scored was
Correct Option: 3
| Teams | Played | Wins | Losses | Draws | Points |
|---|---|---|---|---|---|
| A | 5 | 3 | 0 | 2 | 8 |
| B | 5 | 3 | 2 | 0 | 6 |
| C | 5 | 2 | 2 | 1 | 5 |
| D | 5 | 1 | 1 | 3 | 5 |
| E | 5 | 1 | |||
| F | 5 |
| Teams | Played | Wins | Losses | Draws | Points |
|---|---|---|---|---|---|
| A | 5 | 3 | 0 | 2 | 8 |
| B | 5 | 3 | 2 | 0 | 6 |
| C | 5 | 2 | 2 | 1 | 5 |
| D | 5 | 1 | 1 | 3 | 5 |
| E | 5 | 0 | 1 | 4 | 4 |
| F | 5 |
| Teams | Played | Wins | Losses | Draws | Points |
|---|---|---|---|---|---|
| A | 5 | 3 | 0 | 2 | 8 |
| B | 5 | 3 | 2 | 0 | 6 |
| C | 5 | 2 | 2 | 1 | 5 |
| D | 5 | 1 | 1 | 3 | 5 |
| E | 5 | 0 | 1 | 4 | 4 |
| F | 5 | 0 | 3 | 2 | 2 |
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