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  • Directions for question : In a fictitious situation, renowned boxing promoter Mr Don King convinced eight of the world’s all time great heavyweight and middlew

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 :

Boxers

Mr Iron Mike Tyson

Mr Robert Duran

Mr Rocky Marciano

Mr Manny Pacquiao

Mr Sugar Ray Robinson

Mr Big George Foreman

Mr Muhammad Ali

Mr Joe Frazier

Mr Iron Mike Tyson

X

 

 

Won

Won

 

 

 

Mr Robert Duran

 

X

 

 

 

Won

 

 

Mr Rocky Marciano

 

 

X

 

 

 

 

Won

Mr Manny Pacquiao

 

Won

 

X

 

 

 

 

Mr Sugar Ray Robinson

 

 

Won

 

X

 

 

 

Mr Big George Foreman

 

 

 

 

 

X

 

 

Mr Muhammad Ali

Won

 

 

 

Won

 

X

 

Mr Joe Frazier

 

 

 

 

 

Won

 

X

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 ?

Option: 1

Mr Muhammad Ali

 

 


Option: 2

Mr Iron Mike Tyson


Option: 3

Mr Big George Foreman

 


Option: 4

Mr Robert Duran


Answers (1)

best_answer

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 before the friendly competition.

So world number eight would have won 7 million USD as prize money, world number seven 6 million USD, and so on, with world number one winning no prize money.

But, it is also informed that according to the rules of the competition, every boxer was to fight all the others exactly once. The fights would go on till one fighter loses on points, gets knocked out or concedes defeat. The winner of every fight would win 1 million USD as prize money, while the loser would get no prize money.

Hence, to win 7 million USD, seven fights have to be won, to win 6 million USD, six fights have to be won, and so on, with no prize money implying not a single fight won.

Hence the actual scenario that must have occurred in the friendly competition must be as depicted below :

Boxers

World No 1

World No 2

World No 3

World No 4

World No 5

World No 6

World No 7

World No 8

Prize money (million USD)

World No 1

X

Lost 

Lost 

Lost 

Lost 

Lost 

Lost 

Lost 

X

World No 2

Won

X

Lost 

Lost 

Lost 

Lost 

Lost 

Lost 

1

World No 3

Won

Won

X

Lost 

Lost 

Lost 

Lost 

Lost 

2

World No 4

Won

Won

Won

X

Lost 

Lost 

Lost 

Lost 

3

World No 5

Won

Won

Won

Won

X

Lost 

Lost 

Lost 

4

World No 6

Won

Won

Won

Won

Won

X

Lost 

Lost 

5

World No 7

Won

Won

Won

Won

Won

Won

X

Lost 

6

World No 8

Won

Won

Won

Won

Won

Won

Won

X

7

We know that the world number three is Mr Rocky Marciano.

Also from the data provided in the incomplete table in the question, we can see :

a) Mr Iron Mike Tyson wins against Mr Manny Pacquiao and Mr Sugar Ray Robinson

b) Mr Muhammad Ali wins against Mr Iron Mike Tyson and Mr Sugar Ray Robinson

c) Mr Robert Duran wins against Mr Big George Foreman

d) Mr Rocky Marciano wins against Mr Joe Frazier

e) Mr Manny Pacquiao wins against Mr Robert Duran

f) Mr Sugar Ray Robinson wins against Mr Rocky Marciano

g) Mr Joe Frazier wins against Mr Big George Foreman

So everybody has won at least one fight except Mr Big George Foreman. So Mr Big George Foreman is the world number one.

Mr Rocky Marciano , who is world number three and hence won two fights, must have won against Mr Joe Frazier (as given) and Mr Big George Foreman.

Hence Mr Joe Frazier must be world number two, and has won against Mr Big George Foreman.

Mr Iron Mike Tyson won against Mr Manny Pacquiao and Mr Sugar Ray Robinson, who in turn have won against Mr Robert Duran and Mr Rocky Marciano, who again in turn have won against Mr Joe Frazier, and Mr Big George Foreman.  

So Mr Iron Mike Tyson has won against all the six boxers mentioned above.

So Mr Iron Mike Tyson is world number seven.

Mr Muhammad Ali has won against Mr Iron Mike Tyson, and hence must have won against all the six boxers Mr Iron Mike Tyson won against. 

So Mr Muhammad Ali has won seven fights and hence must be world number eight. 

Mr Sugar Ray Robinson was not accounted among the top five rankers in the world. 

But the seventh and eight rankers are Mr Iron Mike Tyson and Mr Muhammad Ali. 

So Mr Sugar Ray Robinson must be world number six, and must have won against all except Mr Iron Mike Tyson and Mr Muhammad Ali.

The only two rankings left vacant are world number four and five, and the boxers in contention are Mr Manny Pacquiao and Mr Robert Duran.

But Mr Manny Pacquiao has won against Mr Robert Duran. So Mr Manny Pacquiao must be world number five and Mr Robert Duran world number four.

Hence, the final scenario is as below :

World No

Boxers

Mr Big George Foreman

Mr Joe Frazier

Mr Rocky Marciano

Mr Robert Duran

Mr Manny Pacquiao

Mr Sugar Ray Robinson

Mr Iron Mike Tyson

Mr Muhammad Ali

Prize money (million USD)

1

Mr Big George Foreman

X

Lost 

Lost 

Lost 

Lost 

Lost 

Lost 

Lost 

X

2

Mr Joe Frazier

Won

X

Lost 

Lost 

Lost 

Lost 

Lost 

Lost 

1

3

Mr Rocky Marciano

Won

Won

X

Lost 

Lost 

Lost 

Lost 

Lost 

2

4

Mr Robert Duran

Won

Won

Won

X

Lost 

Lost 

Lost 

Lost 

3

5

Mr Manny Pacquiao

Won

Won

Won

Won

X

Lost 

Lost 

Lost 

4

6

Mr Sugar Ray Robinson

Won

Won

Won

Won

Won

X

Lost 

Lost 

5

7

Mr Iron Mike Tyson

Won

Won

Won

Won

Won

Won

X

Lost 

6

8

Mr Muhammad Ali

Won

Won

Won

Won

Won

Won

Won

X

7

Hence, Mr Muhammad Ali won the maximum amount of prize money in the friendly boxing competition.

Posted by

Kuldeep Maurya

View full answer

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