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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…

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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):

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

Team E was defeated by
  1. Teams A and B only
  2. Only Team A
  3. Only Team B
  4. Teams A, B and D only

Answer and explanation

Correct answer: C - Only Team B
E has 0 wins, 4 draws, 1 loss. B has no draws and E cannot beat anyone, so E lost to B and drew with A, C, D and F. E was defeated only by B.

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  • IPMAT Indore

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