Xavier Aptitude Test 2011 Paper

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Question : 54 of 101

Marks: +1, -0

The football league of 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 that losing team gets 0 point.

• If a match ends in a draw, both the teams get 1⁄2 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 ten teams which finished at the bottom of the table.

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

16
18
19
25
30

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