Question

Match the types/steps involved in organizing a tournament listed in List-I with their correct associations listed in List-II:

List-I	(Types/Steps involved in organising a tournament)	List-II	(Associations)
A	Bye	(I)	\(\frac{Number of teams +1}{2}\)
B	Knock-out	(II)	Next highest power of 2 – number of teams
C	Number of byes	(III)	Team once deafeated is out of tournament
D	Number of teams in upper half of a knock-out tournament when number of teams are odd	(IV)	Advantage given to team in which team will not play first round and directly reaches next round

• (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
• (A) - (II), (B) - (IV), (C) - (III), (D) - (I)
• (A) - (III), (B) - (I), (C) - (II), (D) - (IV)
• (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Answer 1

The Correct Option is A

In this task, we need to match the types/steps involved in organizing a tournament listed in List-I with their correct associations listed in List-II. Let's go through each one:

List-I (Types/Steps involved in organising a tournament)	List-II (Associations)
A. Bye	IV. Advantage given to team in which team will not play first round and directly reaches next round
B. Knock-out	III. Team once defeated is out of tournament
C. Number of byes	II. Next highest power of 2 – number of teams
D. Number of teams in upper half of a knock-out tournament when number of teams are odd	I. \(\frac{Number of teams +1}{2}\)

Based on the information provided, the correct associations are:

• (A) - (IV): A bye gives the advantage of not playing the first round and directly reaching the next round.
• (B) - (III): In a knock-out tournament, a team is eliminated once defeated.
• (C) - (II): The number of byes is calculated as the next highest power of 2 minus the number of teams.
• (D) - (I): The number of teams in the upper half of a knock-out tournament when teams are odd is calculated as \(\frac{Number of teams +1}{2}\).

Thus, the correct answer is: (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Answer 2

The correct matches are:

(A) Bye - Advantage given to a team not playing the first round. In tournaments with an uneven number of teams, some teams may automatically advance to the next round without competing, known as a "bye."

(B) Knock-out - Eliminated after first defeat. In a knock-out tournament, teams are eliminated after losing a match, and the competition continues until only one team remains as the winner.

(C) Number of byes - Next highest power of 2 minus the number of teams. The number of byes in a tournament is calculated by subtracting the number of teams from the next power of 2 (e.g., 8 teams would need 0 byes, 9 teams would need 7 byes). This ensures that the tournament structure is balanced.

(D) Number of teams in the upper half - (Number of teams + 1)/2. In a single-elimination format, the upper half of the bracket typically includes half of the teams plus one, accounting for the teams that receive byes or automatically advance in the tournament structure.