Games and Tournament - Logical Reasoning (MCQ) Questions for Q. 29298

Q.  16 teams participated in a cricket tournament.

The tournament was conducted in two stages.

First stage
  • In the first stage, the teams are divided into two equal groups.
  • Each team plays every other team in its group exactly once.
  • At the end of first stage, the top four teams from each group advance to the second stage.
  • Rest teams are eliminated.
Second stage
  • 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 round, 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 such that each match results in a winner and a loser with no possibility 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 determine 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 advanced to the next stage.
What is the minimum number of wins required for a team to guarantee advance (or possible advance) to next stage?

- Published on 07 Jul 17

a. 5
b. 6
c. 7
d. 8

For a team to advance to the second stage, it should be among the top 4 in its group.

Total points on stake in a group is the same as the total number of matches which is 8C2 = 28.

To guarantee advance, it can have 3 teams with the same or more points. There can be 5 teams with 5 points.

So, 5 wins is not good enough to ensure advancement to round 2. However, 6 wins will guarantee its advance.

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