Question 1

If Paraguay has won all the matches and Turkey has lost all the matches and all the remaining three teams score equal points, how many points have each of the three remaining teams scored?

Accepted Answer

Each match has 4 points and each team plays 4 matches. Hence total number of points is 40 Paraguay wins all matches. So it scores 3 x 4 = 12 points. Turkey loses all matches. So it scores 1 x 4 = 4 points. 16 points are scored by Turkey and Paraguay The other teams score 40 - 16 = 24 points As all other teams score equal points, each team scores 24/3 = 8 points

Question 2

If all the five teams have an equal score, what is the number of points scored by each team?

Accepted Answer

The total score is 40 points. If each team scores equally, each team scores 40/5 = 8 points

Question 3

What is the highest number of wins for a team in the first stage in spite of which it would be eliminated at the end of first stage?

Accepted Answer

The team which gets 1 point at 1st stage would be eliminated because the combination may be 6 points for the team and 2 times each for remaining. There are some more cases that supports the idea.

Question 4

What is the number of rounds in the second stage of the tournament?

Accepted Answer

Since there are 8 teams and we know that 8 = 23 hence there are 3 rounds in 2nd stage.

Question 5

Which of the following statements is true?

Accepted Answer

From the discussion above we can say that. It is possible that the winner will have the same number of wins in the entire tournament as a team eliminated at the end of the first stage.

Question 6

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 I point and the losing team gets 0 point. * If a matc…

Accepted Answer

Let total number of teams participated in tournament is n + 10 There are 10 terms in the bottom group then n teams in the top group. It is given that the bottom group gets 45 points since we have 1 point per match therefore 45 matches playing amongst themselves. Therefore they should get 45 points from their matches against the top group i.e., 45 out of the 10n points. The top group get nC2 points from the matches among themselves. They also get 10n - 45 points against the bottom group, which is half their total points. Hence nC2 = 10n - 45 or n(n + 1) = 20n - 90 or n2 - 21n + 90 = 0 hence n = 6 or 15 If n = 6, the top ground would get nC2 + 10n - 45 = nC2 + 10(6) - 45 = 30 points, or an average of 5 points per team, while the bottom group would get (45 + 45) / 10 or an average of 9. This is not possible. Hence n = 15. Then total number of teams is 10 + 15 = 25.

Question 7

Which one of the following statements is true about matches played in the first two rounds?

Accepted Answer

Spain beat New Zealand by 4 goal to 0.

Question 8

Which one of the following statements is true about matches played in the first two rounds?

Accepted Answer

Germany beat Spain by 2 goals to 1.

Question 9

Which team finished at the top of the pool after five rounds of matches?

Accepted Answer

Spain

Question 10

If Pakistan qualified as one of the two teams from Pool A, which was the other team that qualified?

Accepted Answer

Cannot be determined

Question 11

The teams that won exactly two matches in the event are:

Accepted Answer

D and F

Question 12

The only team (s) that won both the matches in Stage II is (are):

Accepted Answer

B, E and F

Question 13

The two teams that defeated the leader of Stage I are:

Accepted Answer

E and F

Question 14

The teams(s) with the most win sin the event is (are):

Accepted Answer

B and E

Question 15

Who won maximum number of matches?

Accepted Answer

Amit own maximum number of matches.

Question 16

Who won least number of matches?

Accepted Answer

Firozown least number of matches.

Question 17

Eshan lost to which all players?

Accepted Answer

Amit and Gandhi

Question 18

How many players got more than Dripto?

Accepted Answer

3

Question 19

Which one of the following statements is incorrect?

Accepted Answer

Hemant lost to both Firoz and Gandhi.

Question 20

If a player Rajesh could not advanced to semifinal round then what is the maximum points scored by him?

Accepted Answer

If a player eliminated in 1st stage even after scoring maximum possible point the it is possible when top 5 has same points and Rajesh got eliminated with tie breaker rule. In this case bottom three got points because of matches between them. Out of 56 matches there are 6 matches played among bottom three hence total points in remaining 56 - 6 = 50 matches is 50 x 3 = 150 that is equally divided among top 5 players equally i.e 30 points each, So Rajesh can not get advanced even after getting 30 points.

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