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The Football Squad

The magic of the primesThe largest Tuesday numberThe football trialFind out the rule, then solve itArrange numbers to the triangles, so the sums are equal to SThe wizened mathematicianOptimal Money-Saving on the NYC MetroA football tournamentThe Wheel of JudasFind the immediate square dancing neighbors, they dance together to perfect square

.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;

5

1

$begingroup$

The sixteen players of a football squad, wearing shirts numbered 1 to 16, have arrived in town for a tournament. At their hotel, they are assigned 16 rooms consecutively numbered. Moreover, each of them is assigned a room with a number different from her shirt number, though a multiple of it.

What room was Daniela, the squad´s top player wearing shirt No.9, assigned?

mathematics no-computers number-theory

share|improve this question

edited 7 hours ago

Bernardo Recamán Santos

asked 8 hours ago

Bernardo Recamán SantosBernardo Recamán Santos

3,1791313 silver badges5858 bronze badges

$endgroup$

add a comment | 

5

1

$begingroup$

The sixteen players of a football squad, wearing shirts numbered 1 to 16, have arrived in town for a tournament. At their hotel, they are assigned 16 rooms consecutively numbered. Moreover, each of them is assigned a room with a number different from her shirt number, though a multiple of it.

What room was Daniela, the squad´s top player wearing shirt No.9, assigned?

mathematics no-computers number-theory

share|improve this question

edited 7 hours ago

Bernardo Recamán Santos

asked 8 hours ago

Bernardo Recamán SantosBernardo Recamán Santos

3,1791313 silver badges5858 bronze badges

$endgroup$

add a comment | 

$begingroup$

The sixteen players of a football squad, wearing shirts numbered 1 to 16, have arrived in town for a tournament. At their hotel, they are assigned 16 rooms consecutively numbered. Moreover, each of them is assigned a room with a number different from her shirt number, though a multiple of it.

What room was Daniela, the squad´s top player wearing shirt No.9, assigned?

mathematics no-computers number-theory

share|improve this question

edited 7 hours ago

Bernardo Recamán Santos

asked 8 hours ago

Bernardo Recamán SantosBernardo Recamán Santos

3,1791313 silver badges5858 bronze badges

$endgroup$

share|improve this question

edited 7 hours ago

Bernardo Recamán Santos

asked 8 hours ago

Bernardo Recamán SantosBernardo Recamán Santos

3,1791313 silver badges5858 bronze badges

share|improve this question

edited 7 hours ago

Bernardo Recamán Santos

asked 8 hours ago

Bernardo Recamán SantosBernardo Recamán Santos

3,1791313 silver badges5858 bronze badges

asked 8 hours ago

Bernardo Recamán SantosBernardo Recamán Santos

3,1791313 silver badges5858 bronze badges

asked 8 hours ago

Bernardo Recamán SantosBernardo Recamán Santos

3,1791313 silver badges5858 bronze badges

2 Answers
2

active

oldest

votes

4

$begingroup$

The simple answer to this is:
take number A = 1*2*3...*16. It is multiple of each of numbers shirts. Then put player 1 in A+1 room, player 2 in A+2 room and so on player 16 in A+16 room.

Explanation: if some number N is multiple of k, then N+k is as well, so all rules are preserved, rooms are consecutive, not coinsiding with each player's shirt and multiples of thie shirt numbers

P.S Almost forgot, should be nice to specify the answer, Daniela is in room Number A+9=1*2*3*...*16+9

share|improve this answer

edited 7 hours ago

answered 8 hours ago

Igor sharmIgor sharm

6122 bronze badges

New contributor

Igor sharm is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

3

$begingroup$

The answer to this question can be solved by -

1. Taking the LCM of all the numbers(1 to 16) and then adding to the jersey number of the players


2. By multiplying all the numbers from 1 to 16 and then adding to the jersey number of the players.

The result will be the consecutive number of hotel rooms.
In this case, if we choose the 1st approach(the LCM one), the room number of 9th player comes out to be

The Solution:

720729.

share|improve this answer

edited 7 hours ago

Rewan Demontay

1,36722 silver badges2222 bronze badges

answered 7 hours ago

Nakshtra PradhanNakshtra Pradhan

4133 bronze badges

New contributor

Nakshtra Pradhan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  No hotel with that many rooms in town!
  $endgroup$
  – Bernardo Recamán Santos
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Oh, good answer, just multiple was first that came to my mind, but LCM is even more smart as it produces smaller numbers
  $endgroup$
  – Igor sharm
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @BernardoRecamánSantos so my answer is wrong ??
  $endgroup$
  – Nakshtra Pradhan
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Igorsharm, actually i just tried by initially taking smaller numbers in consideration,so it turns out that LCM will save computation.
  $endgroup$
  – Nakshtra Pradhan
  7 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  It is not the answer I have in mind because squad is staying in a normal hotel with many rooms, but not THAT many!
  $endgroup$
  – Bernardo Recamán Santos
  7 hours ago
  

  
  
  
  

 | 
show 8 more comments

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4

$begingroup$

The simple answer to this is:
take number A = 1*2*3...*16. It is multiple of each of numbers shirts. Then put player 1 in A+1 room, player 2 in A+2 room and so on player 16 in A+16 room.

Explanation: if some number N is multiple of k, then N+k is as well, so all rules are preserved, rooms are consecutive, not coinsiding with each player's shirt and multiples of thie shirt numbers

P.S Almost forgot, should be nice to specify the answer, Daniela is in room Number A+9=1*2*3*...*16+9

share|improve this answer

edited 7 hours ago

answered 8 hours ago

Igor sharmIgor sharm

6122 bronze badges

New contributor

Igor sharm is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

4

$begingroup$

The simple answer to this is:
take number A = 1*2*3...*16. It is multiple of each of numbers shirts. Then put player 1 in A+1 room, player 2 in A+2 room and so on player 16 in A+16 room.

Explanation: if some number N is multiple of k, then N+k is as well, so all rules are preserved, rooms are consecutive, not coinsiding with each player's shirt and multiples of thie shirt numbers

P.S Almost forgot, should be nice to specify the answer, Daniela is in room Number A+9=1*2*3*...*16+9

share|improve this answer

edited 7 hours ago

answered 8 hours ago

Igor sharmIgor sharm

6122 bronze badges

New contributor

Igor sharm is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

$begingroup$

The simple answer to this is:
take number A = 1*2*3...*16. It is multiple of each of numbers shirts. Then put player 1 in A+1 room, player 2 in A+2 room and so on player 16 in A+16 room.

Explanation: if some number N is multiple of k, then N+k is as well, so all rules are preserved, rooms are consecutive, not coinsiding with each player's shirt and multiples of thie shirt numbers

P.S Almost forgot, should be nice to specify the answer, Daniela is in room Number A+9=1*2*3*...*16+9

share|improve this answer

edited 7 hours ago

answered 8 hours ago

Igor sharmIgor sharm

6122 bronze badges

New contributor

Igor sharm is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|improve this answer

edited 7 hours ago

answered 8 hours ago

Igor sharmIgor sharm

6122 bronze badges

New contributor

Igor sharm is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

answered 8 hours ago

Igor sharmIgor sharm

6122 bronze badges

New contributor

Igor sharm is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

answered 8 hours ago

Igor sharmIgor sharm

6122 bronze badges

3

$begingroup$

The answer to this question can be solved by -

1. Taking the LCM of all the numbers(1 to 16) and then adding to the jersey number of the players


2. By multiplying all the numbers from 1 to 16 and then adding to the jersey number of the players.

The result will be the consecutive number of hotel rooms.
In this case, if we choose the 1st approach(the LCM one), the room number of 9th player comes out to be

The Solution:

720729.

share|improve this answer

edited 7 hours ago

Rewan Demontay

1,36722 silver badges2222 bronze badges

answered 7 hours ago

Nakshtra PradhanNakshtra Pradhan

4133 bronze badges

New contributor

Nakshtra Pradhan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  No hotel with that many rooms in town!
  $endgroup$
  – Bernardo Recamán Santos
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Oh, good answer, just multiple was first that came to my mind, but LCM is even more smart as it produces smaller numbers
  $endgroup$
  – Igor sharm
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @BernardoRecamánSantos so my answer is wrong ??
  $endgroup$
  – Nakshtra Pradhan
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Igorsharm, actually i just tried by initially taking smaller numbers in consideration,so it turns out that LCM will save computation.
  $endgroup$
  – Nakshtra Pradhan
  7 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  It is not the answer I have in mind because squad is staying in a normal hotel with many rooms, but not THAT many!
  $endgroup$
  – Bernardo Recamán Santos
  7 hours ago
  

  
  
  
  

 | 
show 8 more comments

3

$begingroup$

The answer to this question can be solved by -

1. Taking the LCM of all the numbers(1 to 16) and then adding to the jersey number of the players


2. By multiplying all the numbers from 1 to 16 and then adding to the jersey number of the players.

The result will be the consecutive number of hotel rooms.
In this case, if we choose the 1st approach(the LCM one), the room number of 9th player comes out to be

The Solution:

720729.

share|improve this answer

edited 7 hours ago

Rewan Demontay

1,36722 silver badges2222 bronze badges

answered 7 hours ago

Nakshtra PradhanNakshtra Pradhan

4133 bronze badges

New contributor

Nakshtra Pradhan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  No hotel with that many rooms in town!
  $endgroup$
  – Bernardo Recamán Santos
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Oh, good answer, just multiple was first that came to my mind, but LCM is even more smart as it produces smaller numbers
  $endgroup$
  – Igor sharm
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @BernardoRecamánSantos so my answer is wrong ??
  $endgroup$
  – Nakshtra Pradhan
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Igorsharm, actually i just tried by initially taking smaller numbers in consideration,so it turns out that LCM will save computation.
  $endgroup$
  – Nakshtra Pradhan
  7 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  It is not the answer I have in mind because squad is staying in a normal hotel with many rooms, but not THAT many!
  $endgroup$
  – Bernardo Recamán Santos
  7 hours ago
  

  
  
  
  

 | 
show 8 more comments

$begingroup$

The answer to this question can be solved by -

1. Taking the LCM of all the numbers(1 to 16) and then adding to the jersey number of the players


2. By multiplying all the numbers from 1 to 16 and then adding to the jersey number of the players.

The result will be the consecutive number of hotel rooms.
In this case, if we choose the 1st approach(the LCM one), the room number of 9th player comes out to be

The Solution:

720729.

share|improve this answer

edited 7 hours ago

Rewan Demontay

1,36722 silver badges2222 bronze badges

answered 7 hours ago

Nakshtra PradhanNakshtra Pradhan

4133 bronze badges

New contributor

Nakshtra Pradhan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|improve this answer

edited 7 hours ago

Rewan Demontay

1,36722 silver badges2222 bronze badges

answered 7 hours ago

Nakshtra PradhanNakshtra Pradhan

4133 bronze badges

New contributor

Nakshtra Pradhan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

edited 7 hours ago

Rewan Demontay

1,36722 silver badges2222 bronze badges

edited 7 hours ago

Rewan Demontay

1,36722 silver badges2222 bronze badges

answered 7 hours ago

Nakshtra PradhanNakshtra Pradhan

4133 bronze badges

New contributor

Nakshtra Pradhan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

answered 7 hours ago

Nakshtra PradhanNakshtra Pradhan

4133 bronze badges