# Logical Reasoning 5

Directions: Answer the questions based on the following information.

Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament was conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists of eight teams, with each team playing every other team in its group exactly once. At the end of the first stage, the top four teams from each group advance to the second state while the rest are eliminated. The second stage comprised several rounds. A round involves one match for each team the winner of a match in a round advances to the next term, while the loser is eliminated. The team that remains undefeated in the second stage is declared the winner and claims the Gold Cup.

The tournament rules are such that each match resultls in a winner and a loser with no possiblitiy of a tie. In the first stage, a team earns one point for each win and no points for a loss. At the end of the first stage, teams in each group are ranked on the basis of total points to deternine the qualifiers advancing to the next stage. Ties are resolved by a series of complex tie breaking rules so that exactly four teams from each group advance to the next stage.

Question 1:

What is the total number of matches played in the tournament?

(a) 28

(b) 55

(c) 63

(d) 35

Question 2:

The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is:

(a) 5

(b) 6

(c) 7

(d) 4

Question 3:

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

(a) 1

(b) 2

(c) 3

(d) 4

Question 4:

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

(a) 1

(b) 2

(c) 3

(d) 4

Solution

1. There will be eight team in each group. Each team in a group will play

with every other team.Hence, total number of matches will be 7x8/2=28 in

one group.Hence in both the groups, there will be 56 matches. This is for

the first stage. Again, there are 8 teams in knockout rounds from which

one winner emerges or 7 losers are identified. Hence 7 more matches will

be played. So the total number of matches played will be 63.

2. The minimum number of wins that can assume a place in the second

stage is 6.

3. The highest number of wins for a team is 4.

4. Since, there are 8 teams, there would be 7 matches in 3 rounds

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Solved Problem

In 4th question, on which basis the number of rounds has been decided? I round contain how many matches?

ReplyDeleteAlso for 2nd question the team with 4 wins is also eligible to move to next level, because 4 teams are moving to next stage.

In 2nd question, Correction is required.

ReplyDeleteAns. The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is: 5