Question

Q20. In knock out tournament if 31 teams are participating then how many teams will be in the fourth quarter *
1 point
a) 5
b) 6
c) 7
Submit

Answer 1

Answer:

c

Explanation:16 team in upper half and 15 in lower half

bye will be given to lower half

n-1/2=15-1/2=7

Answer 2

In a knockout tournament, if the number of teams is more the teams are divided into halves. The halves are further divided into quarters generally if the number of teams is more than 16. Following steps can be followed to divide teams into halves and quarters:

If the number of teams is even the there are the same number of teams in the upper and lower half.

If the number of teams(N) is odd

No of teams in upper half = $\frac{N + 1}{2}$

No of teams in lower half = $\frac{N - 1}{2}$

For dividing teams into quarters, the total number of teams is divided by 4.

• If remainder = 0, then each quarter will have an equal number of teams
• If remainder = 1, then the first quarter will have an extra team
• If remainder = 2, then the first and third quarters will have an extra team each.
• If remainder = 3, then the first, second, and third quarters will have an extra team each.

Here, the total number of teams = 31

On dividing 31 by 4, the remainder is 3.

So, the first, second, and third quarters will have an extra team each.

No. of teams in first-quarter = 8

No. of teams in second-quarter = 8

No. of teams in third-quarter = 8

No. of teams in fourth-quarter = 7

Therefore, the number of teams in the fourth quarter will be (c) 7.