Games and Tournament - Logical Reasoning (MCQ) Questions for Q. 28902

Q.  Directions :
1. There are 16 teams divided into 2 pools of 8 each.
2. Each team in a group plays against one another on a round-robin basis.
3. The top four teams from each group will qualify for the next round i.e. round 2.
4. In case of teams having the same number of wins, the team with better run-rate would be ranked ahead.
5. Draws are not allowed.

What is the minimum number of wins required to qualify for the next round?

- Published on 07 Jul 17

a. 1
b. 2
c. 3
d. 4

ANSWER: 2
 
Each group consists of 8 teams.

So, each team will play 7 matches each.

Suppose each of the 8 teams were seeded and we consider the case where a higher seeded team will always win.

So, the number of wins for the 8 teams would be 7, 6, 5, 4, 3, 2, 1, 0 with highest seeded team winning all and lowest seeded team losing all.

For minimum number of wins we allow 3 teams to win maximum number of matches.

Of the remaining 5 teams just find out the mean of their number of wins.

In this case, it would be - (4+3+2+1+0)/5=2.

So, 5 teams can end up with 2 wins each and a team with better run rate will qualify with 2 wins.

The minimum number of wins required to qualify for next round with better run-rate is 2.

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