#DILR-14

Directions for questions 1 to 5: Answer the questions on the basis of the information given below.

Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament.The tournament is conducted in two stages. In the first stage, the teams are divided into two groups.
Each group consists of eight teams, each team playing with 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 stage while the rest are eliminated. The second stage comprises of several rounds. Every round involves exactly one match for every 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 are 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 advance to the next stage.

1. What is the total number of matches played in the tournament?
(1) 28 (2) 55 (3) 63 (4) 56
2. The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is
(1) 5 (2) 6 (3) 7 (4) 4
3.What is the highest number of wins for a team in the first stage in spite of which it could be
eliminated at the end of first stage?
(1) 1 (2) 2 (3) 4 (4) 5
4. What is the number of matches in the second stage of the tournament?
(1) 1 (2) 2 (3) 4 (4) 7
5. How many teams got eliminated after winning exactly one match in the second stage of the
tournament?
(1) 4 (2) 5 (3) 2 (4) 7



Solutions:-


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