CAT Introduction to Games and Tournaments - Practice Questions & MCQ

Directions for question: At the Jaidip Mukherjea Tennis Academy in Salt Lake, Kolkata, 16 tennis players of the academy were scheduled to take part in an intra-academy clay court tennis tournament in December 2022. The players were seeded from 1 to 16 (Seed 1 being the top-seeded player, that is the player with the most points earned till the beginning of the tournament, and Seed 16 being the last-seeded player, that is the one with the lowest points earned till the beginning of the tournament).
The tournament was pre-formatted in a knock-out fashion, with different rounds. In each round, the winner of the match between two players advanced to the next round, while the loser got eliminated. This process was followed till the finals. It was fixed that in the first round, the player seeded 1 would play the player seeded 16, the player seeded 2 would play the player seeded 15, and so on. This process was to continue till the finals.
As per tennis language, if a lower-seeded player beats a higher-seeded player, it is called an upset. In case of no upset in a match, it is understood that a higher-seeded player has beaten a lower-seeded player.
It was also known that in the tournament the player seeded 6 got injured a few minutes before the start of the tournament and had to retire hurt without playing a single game. It was also observed that the player seeded 11 made two upsets.
Question: What was the total number of rounds in the tennis tournament at the Jaidip Mukherjea Tennis Academy in Salt Lake, Kolkata in December 2022?

Directions for question: At the Jaidip Mukherjea Tennis Academy in Salt Lake, Kolkata, 16 tennis players of the academy were scheduled to take part in an intra-academy clay court tennis tournament in December 2022. The players were seeded from 1 to 16 (Seed 1 being the top-seeded player, that is the player with the most points earned till the beginning of the tournament, and Seed 16 being the last-seeded player, that is the one with the lowest points earned till the beginning of the tournament.)

The tournament was pre-formatted in a knock-out fashion, with different rounds. In each round, the winner of the match between two players advanced to the next round, while the loser got eliminated. This process was followed till the finals. It was fixed that in the first round, the player seeded 1 would play the player seeded 16, the player seeded 2 would play the player seeded 15 and so on. This process was to continue till the finals.

As per tennis language, if a lower-seeded player beats a higher-seeded player, it is called an upset. In case of no upset in a match, it is understood that a higher-seeded player has beaten a lower-seeded player.

It was also known that in the tournament the player seeded 6 got injured a few minutes before the start of the tournament and had to retire hurt without playing a single game. It was also observed that the player seeded 11 made two upsets.

Question: How many matches did the player who lost in the finals, play and win in the tournament?

Directions for question:
In a fictitious situation, renowned boxing promoter Mr Don King convinced eight of the world’s all time great heavyweight and middleweight boxers spanning four decades, to have a friendly round-robin competition from Christmas Eve of 2022 to New Years Day 2023, at Madison Square Garden in New York.

Mr Sugar Ray Robinson of USA,  Mr Rocky Marciano of USA,  Mr Iron Mike Tyson of USA,  Mr Manny Pacquiao of Philippines,  Mr Big George Foreman of USA,  Mr Robert Duran of Panama,  Mr Joe Frazier of USA and  Mr Muhammad Ali of USA were the competitors.

• According to the rules of the competition, every boxer was to fight all the others exactly once. 
• There would be no fixed number of rounds, and the fights would go on till one fighter loses on points, gets knocked out or concedes defeat. 
• The winner of every fight would win one million USD as prize money, while the loser would get nothing as prize money. 
• At the start of the competition all the eight boxers were bestowed world ranking numbers from world number one to world number eight, depending upon their performance and popularity in their prime. 
• Mr Rocky Marciano, who was the most senior of them all, was unanimously bestowed the rank of world number three. 
• However, contrary to general expectations, Mr Sugar Ray Robinson was not accounted among the top five rankers in the world. 
• Also at the end of the competition, it was found that by sheer co-incidence, all the boxers had won one million USD less than the world ranking number they were bestowed with.

The following incomplete table shows the results of some of the fights :

This chart is read as, for example, Mr Iron Mike Tyson won against Mr Manny Pacquiao and Mr Sugar Ray Robinson.

Question: Who won the maximum amount of prize money in the friendly boxing competition?

Directions for question:
In a fictitious situation, renowned boxing promoter Mr Don King convinced eight of the world’s all-time great heavyweight and middleweight boxers spanning four decades, to have a friendly round-robin competition from Christmas Eve of 2022 to New Years Day 2023, at Madison Square Garden in New York.

Mr Sugar Ray Robinson of the USA,  Mr Rocky Marciano of USA,  Mr Iron Mike Tyson of USA,  Mr Manny Pacquiao of Philippines,  Mr Big George Foreman of USA,  Mr Robert Duran of Panama,  Mr Joe Frazier of USA and  Mr Muhammad Ali of USA were the competitors.

• According to the rules of the competition, every boxer was to fight all the others exactly once. 
• There would be no fixed number of rounds, and the fights would go on till one fighter loses points, gets knocked out or concedes defeat. 
• The winner of every fight would win one million USD as prize money, while the loser would get nothing as prize money. 
• At the start of the competition, all eight boxers were bestowed world ranking numbers from world number one to world number eight, depending upon their performance and popularity in their prime. 
• Mr Rocky Marciano, who was the most senior of them all, was unanimously bestowed the rank of world number three. 
• However, contrary to general expectations, Mr Sugar Ray Robinson was not accounted among the top five rankers in the world. 
• Also at the end of the competition, it was found that by sheer coincidence, all the boxers had won one million USD less than the world ranking number they were bestowed with.

The following incomplete table shows the results of some of the fights:

This chart is read as, for example, Mr Iron Mike Tyson won against Mr Manny Pacquiao and Mr Sugar Ray Robinson.

Question: How many fights did Mr Robert Duran win in the friendly competition?