#DILR-27

In La-Liga, a football tournament,  there are 15 teams competing in a round robin format i.e, each team plays all the other teams exactly once. The top two teams during the league will play the finals against each other. After every match, points will be awarded to both the teams based on the following criteria:-
1 win = 3 points
1 draw = 1 point
1 loss = 0 points.
When 11 of the fifteen teams were done playing all their matches, the following observations were made about the top five scoring teams at that stage:

Teams                     Matches Played         Points
Barcelona                        13                        32
Athletico Madrid             12                        29
Sevilla                              12                        23
Real Madrid                    11                        26
Valencia                          14                        28

Further, when all teams have played all their league matches, it is noted that:-
(i) Real Madrid scored the highest points.
(ii) No two teams, among the top five teams have the same number of drawn matches.
(iii) Among the top five teams, Valencia is not involved in the highest number of drawn matches.

1)Who is the other finalist with Real Madrid?
(a) Barcelona
(b) Athletico Madrid
(c) Sevilla
(d) Cannot be determined

2)Out of all the matches played by Sevilla during the tournament, how many ended in a draw?
(a) 6
(b) 2
(c) 5
(d) Cannot be determined

3) Which team scored the fourth highest?
(a)Barcelona
(b)Athletico Madrid
(c)Valencia
(d)Cannot be determined

4)Of the top five teams, which team lost the maximum number of matches?
(a) Valencia
(b) Sevilla
(c) Barcelona
(d) Cannot be determined



Solution-






1)From the table, Barcelona with 32 points. Hence, option (a)

2)From the table,6 draws. Hence, option (a)

3)From the table, Valencia with 28 points. Hence, option (c)

4)From the table, Valencia lost 4 matches. Hence, option (a)


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