Question 188
In a tournament with the four teams $A$, $B$, $C$ and $D$, every team played against every other team in three rounds of two simultaneous games. No team won or lost all their games and no game ended in a draw. It is known that team $A$ won in the first and third round. Also, team $C$ won in the first round and team $D$ lost in the second round. Five people make a statement about the tournament, but only one of them is telling the truth.
Which statement is true?
A) $A$ and $B$ played against each other in round 1
B) $C$ won against $B$
C) $A$ and $D$ played against each other in round 3
D) $D$ won against $A$
E) $B$ and $C$ played against each other in round 2
Which statement is true?
A) $A$ and $B$ played against each other in round 1
B) $C$ won against $B$
C) $A$ and $D$ played against each other in round 3
D) $D$ won against $A$
E) $B$ and $C$ played against each other in round 2