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
Which team was NOT defeated by team A?
| 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 was NOT defeated by team A?
- B
- C
- D
- F
Answer and explanation
Correct answer: C - D
From the unique reconstruction, A beat B, C and F and drew with D and E. Among the options, D was not defeated by A.
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IPMAT Indore
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