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- Question
- What is the total number of matches played in the tournament?
Options- A. 63
- B. 56
- C. 64
- D. None of these
- Correct Answer
- 63
ExplanationNumber of matches in Stage 1 is 2(8C2) = 2(7 x 8/2) = 56
stage 2 will be a knockout tournament with 8 teams so in this stage number of matches will be 7.
Total number of matches is 56 + 7 = 63 - 1. If 'K' represents number of matches won by a particular player then which one of the following best represents the range of 'K'?
Options- A. 5 < K <10
- B. 6 ? K < 11
- C. 5 ? K ? 10
- D. None of these Discuss
- 2. How many players in can win 3 matches in stage 1 and 2 together?
Options- A. 0
- B. 5
- C. 6
- D. None of these Discuss
- 3. If a player Amit won against Bimal but lost to Chand then Chand has won how many matches?
Options- A. 1
- B. 3
- C. 5
- D. Can not be determine Discuss
- 4. If a player won 0 matches in stage 1 then which one of the following is correct?
Options- A. There must be a player who won 3 matches.
- B. The must be a player who won all the matches.
- C. There must be a player who won 1 match.
- D. None of these. Discuss
- 5. What is the minimum number of matches won by any player.
Options- A. 0
- B. 5
- C. 6
- D. None of these Discuss
- 6. The maximum number of matches that a team going out of the tournament in the first round itself can win is
Options- A. 3
- B. 5
- C. 4
- D. None of these Discuss
- 7. The minimum number of matches that a team must win in order to qualify for the second round is
Options- A. 3
- B. 5
- C. 6
- D. None of these Discuss
- 8. The minimum number of matches that a team who advanced to the next stage has won?
Options- A. 2
- B. 5
- C. 3
- D. None of these Discuss
- 9. What is the minimum number of matches won by the winner of the tournament?
Options- A. 8
- B. 6
- C. 5
- D. None of these Discuss
- 10. 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 ½ 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?
Options- A. 16
- B. 18
- C. 19
- D. 25 Discuss
Games and Tournament problems
Search Results
Correct Answer: 6 ? K < 11
Explanation:
Minimum is 6 and maximum is 10 represented by option
Correct Answer: 0
Explanation:
No player can win 3 matches
Correct Answer: Can not be determine
Explanation:
From the table any option can satisfy the given condition.
Correct Answer: There must be a player who won 1 match.
Explanation:
from table option (c) is correct.
Correct Answer: 5
Explanation:
For minimum number of matches lets take example of R4 he won 0 matches in stage 1 and 5 matches in stage II. So required minimum number is 5.
Correct Answer: 5
Explanation:
In the 1st round in one group number of matches is (7 x 8/2) = 2
Lets consider bottom 3 they will have 3 matches between them, so remaining 28 - 3 = 25 matches have involvement of top 5 teams, if they won equal number of matches i.e 5 each then decision will be taken based on tie breaker rule, hence a team may be eliminated even after winning 5 matches.
Correct Answer: 6
Explanation:
From the solution of previous question even after winning 5 matches a team can get eliminated so to be sure a team must win 6 matches.
Correct Answer: 2
Explanation:
Consider top three team if they won maximum number of matches then points with them is 7 + 6 + 5 = 18, remaining 28 - 18 = 10 points can be distributed to bottom 5 teams, so even after getting 2 points or 2 wins a team can advanced to next stage by tie breaker rule.
Correct Answer: 5
Explanation:
From the solution of previous question a team even with two wins can advanced to next stage where it has to play 3 matches so total number of matches is 5.
Correct Answer: 25
Explanation:
Let total number of teams participated in tournament is n + 10
There are 10 teams 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 ? n(n + 1) = 20n ? 90 ? n2 ? 21n + 90 = 0 hence n = 6 or 15
If n = 6, the top group 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 = 90/10 = 9. This is not possible. Hence n = 15. Then total number of teams is 10 + 15 = 25.
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