Games and Tournament problems
- 1. What is the minimum number of matches won by any player.
Options- A. 0
- B. 5
- C. 6
- D. None of these Discuss
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.
- 2. 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
Correct Answer: There must be a player who won 1 match.
Explanation:
from table option (c) is correct.
- 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
Correct Answer: Can not be determine
Explanation:
From the table any option can satisfy the given condition.
- 4. 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
Correct Answer: 0
Explanation:
No player can win 3 matches
- 5. 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
Correct Answer: 6 ? K < 11
Explanation:
Minimum is 6 and maximum is 10 represented by option
- 6. What is the total number of matches played in the tournament?
Options- A. 63
- B. 56
- C. 64
- D. None of these Discuss
Correct Answer: 63
Explanation:
Number 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
- 7. 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
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.
- 8. 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
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.
- 9. 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
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.
- 10. 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
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.
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