1.

The football league of a certain country is played according to the following rules :
  • Each team plays exactly one game against each of the other teams.

  • The winning team of each game is awarded 1 point and the losing team gets 0 point.

  • If a match ends in a draw, both the teams get point. After the league was over, the teams were ranked according to the points that they earned at the end of the tournament. Analysis of the points table revealed the following :

  • Exactly half of the points earned by each team were earned in games against the 10 teams which finished at the bottom of the table.

  • Each of the bottom 10 teams earned half of their total points against the other 9 teams in the bottom 10 . How many teams participated in the league?

A. 16
B. 18
C. 19
D. 25
E. 30
Answer» E. 30


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