Mathematical puzzles

Puzzles, situation puzzles and recreational mathematics.

situation puzzles and recreational mathematics. Neuron juice
 
 
 

Neuron juice.

The important thing is not to stop questioning. (Albert Einstein.)

  

 

Solving the riddle of Einstein.

 

 

El acertijo de Einstein.

When Einstein proposed this conundrum said 98 % of the world population would not be able to solve it. and if you are here can be for three things :

 

  • Not come from the statement of the puzzle ( not the solution) so I recommend passes first around here.
  • You think you are not 2% of population with the ability to solve the puzzle , even these in time to try.
  • You've tried it, but do not advance the solution , read but try to return to your solution as you see the way.
  • No time or inclination to think, if so keep reading to the end.

The path I propose for solving the riddle of Einstein is not the only or even the most elegant and safe is to know the solution with fewer steps.

 

We begin with the statement of the puzzle Einstein.

 

There are 5 houses in five different colors and each a person of a different nationality lives .


Each of the owners drink a different drink , smoke a different brand of cigarettes and has a different pet.

 

We have the following keys:

 

  • The Brit lives in the red house .
  • The Swede has a dog.
  • The Danish drinks tea .
  • The green house is on the left of the white .
  • The owner of the green house drinks coffee.
  • The person who smokes Pall Mall has a bird .
  • The owner of the yellow house smokes Dunhill.
  • Living in the center house drinks milk .
  • The Norwegian lives in the first house.
  • The person who smokes Brends lives next to the one who keeps cats .
  • The person who has a horse lives next to the man who smokes Dunhill .
  • The smoking Bluemasters drink beer .
  • The German smokes prince .
  • The Norwegian lives next to the blue house.
  • The smoking Brends has a neighbor who drinks water .

 

The question:

 

Who owns the goldfish ?

 

Solving the riddle of Einstein

 

We begin to know who and what is part of the riddle.

 

  • Neighbors: British, Swedish, Danish , Norwegian, German
  • House : Red , Green, White, Yellow , Blue
  • Dog . Dog, Bird, Cat, Horse , Pececito
  • Drink : Tea, coffee, milk , beer, water
  • preferred Poison: Pall Mall, Dunhill, Brends , Bluemasters , Prince

 

We have put together what is already indicated in the key to the riddle :

 

  • British - Red House
  • Swedish - Dog
  • Danish - Tea
  • Green house - Café
  • Pall Mall - bird
  • Yellow house - Dunhill
  • Bluemasters - Beer
  • German - Prince

 

And we began to populate the table :

 

&nbsp ; House Dog drink poison
British Red * * *
Swedish * Dog * *
Danish * * Tea *
Norwegian * * * *
German * * * Prince

 

We can deduce the following:

 

The Norwegian lives in the first house , so do not live in the middle and therefore do not drink milk, drink it as tea Danish Norwegian only remains for her coffee, beer or water.

 

Since the Norwegian lives in the first house has no other to the left , so do not live in the green, also he lives next to the blue house and at the British Red Norwegian lives you are white or yellow .

 

Add this data to the table:

 

& nbsp ; House Dog drink poison
British Red * * *
Swedish * Dog * *
Danish * * Tea *
Norwegian
White Yellow
*
Coffee Beer Water
*
German * * * Prince

The owner of the green house drinks coffee , so it is not the Dane can only live in white, yellow or blue house, also put on the table , and for the same reason the Norwegian does not drink coffee that we remove as possibility.

 

  House Dog drink poison
British Red * * *
Swedish * Dog * *
Danish
White Blue Yellow
* Tea *
Norwegian
White Yellow
* Beer Water *
German * * * Prince

 

According to the key " The owner of the green house drinks coffee " and since we know that the Danish drinks tea , the British can only drink milk , beer or water.

 

According to the key "The owner of the yellow house smokes Dunhill " Britain can only smoking Pall Mall, Brends or Bluemasters .

 

Updating the table looks like this:

 

& nbsp ; House Dog drink poison
British Red *
Milk Beer Water
Pall Mall

Brends Bluemasters
Swedish * Dog * *
Danish
White Blue Yellow
* Tea *
Norwegian
White Yellow
* Beer Water *
German * * * Prince

 

The smoking Bluemasters drink beer so the Danish to not drink beer Bluemasters not smoke or prince , you are left Pall Mall, Dunhill or Brends .

 

The smoking Bluemasters drink beer so the German does not drink or beer or tea, has left coffee, milk or water.

 

We continue to update .

 

  House Dog drink poison
British Red *
Milk Beer Water
Pall Mall

Brends Bluemasters
Swedish * Dog * *
Danish
White Blue Yellow
* Tea Pall Mall Dunhill

Brends
Norwegian
White Yellow
* Beer Water *
German * *
Milk Coffee Water
Prince

 

The person who smokes Pall Mall has a bird so the German has neither bird nor dog, he is cat, horse and goldfish .

 

The Swede has a dog therefore neither Prince nor smokes Pall Mall , Dunhill him , and Bluemasters are Brends.

 

  House Dog drink poison
British Red *
Milk Beer Water
Pall Mall

Brends Bluemasters
Swedish * Dog * Dunhill

Brends Bluemasters
Danish
White Blue Yellow
* Tea Pall Mall Dunhill

Brends
Norwegian
White Yellow
* Beer Water *
German *
Cat
Horse goldfish

Milk Coffee Water
Prince

 

The owner of the yellow house smokes Dunhill therefore is not German, is left with the green, white or blue house.

 

The Norwegian lives in the first house and is either white or yellow , plus the green house is on the left of the white so white may not be the first , so the Norwegian lives in the yellow .

 

Since Norway is one who lives in the Danish yellow can only live or white or blue.

 

Besides, we know that the Norwegian lives in the yellow also know that smokes Dunhill.

 

The updated table is left like this:

 

  House Dog drink poison
British Red *
Milk Beer Water
Pall Mall

Brends Bluemasters
Swedish * Dog *
Brends Bluemasters
Danish
White Blue
* Tea Pall Mall Brends
Norwegian Yellow * Beer Water Dunhill
German
Green Blue White

Cat
Horse goldfish

Milk Coffee Water
Prince

 

Since the red and yellow houses are already occupied the Swedish live or in green, white or blue.

The person who has a horse lives next to the man who smokes Dunhill therefore has neither the Norwegian horse or dog, he is bird, cat and goldfish , but as the bird is who smokes Pall Mall can only have cat or goldfish .

 

  House Dog drink poison
British Red *
Milk Beer Water
Pall Mall

Brends Bluemasters
Swedish
Green Blue White
Dog *
Brends Bluemasters
Danish
White Blue
* Tea Pall Mall Brends
Norwegian Yellow
Cat Pececito
Beer Water Dunhill
German
Green Blue White

Cat
Horse goldfish

Milk Coffee Water
Prince

 

Change strategy and try to put in order the house .

The Norwegian lives in the first house is yellow and also lives next to the blue house that can only be the second .

 

In the center house ( the 3) drink milk . And like green drink coffee and is on the left of the white , green can only be in position 4 and the white at position 5 .

 

The position of the houses would be this :

 

House 1 House 2 House 3 House 4 House 5
Yellow Blue * Green White
* * Milk Coffee *
Norwegian * * * *

 

Also we put the data we already know from the table above.

 

House 1 House 2 House 3 House 4 House 5
Yellow Blue Red Green White
* * Milk Coffee *
Norwegian * British * *
Dunhill * * * *

 

  House Dog drink poison Position
British Red * Milk Pall Mall

Brends Bluemasters
House 3
Swedish
Green Blue White
Dog *
Brends Bluemasters
House 2

House 4 House 5
Danish
White Blue
* Tea Pall Mall Brends House 2

House 4 House 5
Norwegian Yellow
Cat Pececito
Beer Water Dunhill Casa 1
German
Green Blue White

Cat
Horse goldfish

Milk Coffee Water
Prince House 2

House 4 House 5

 

The person who has a horse lives next to the man who smokes Dunhill therefore the horse will live in the house 2 is blue , as the Swede has a dog does not live in the blue house.

 

The owner of the green house drinks coffee so the Dane does not live in the house 4 .

 

The smoking Bluemasters drink beer , so that the British do not smoke Bluemasters , and can only Swedish.

 

House 1 House 2 House 3 House 4 House 5
Yellow Blue Red Green White
* * Milk Coffee *
Norwegian * British * *
Dunhill * * * *
* Horse * * *

 

 

  House Dog Drink poison Position
British Red Bird

Cat goldfish
Milk Pall Mall Brends House 3
Swedish
Green White
Dog Beer Bluemasters
House 4 House 5
Danish
White Blue

Cat Bird Horse

goldfish
Tea Pall Mall Brends
House 2 House 5
Norwegian Yellow
Cat goldfish
Water Dunhill Casa 1
German
Green Blue White

Cat
Horse goldfish
Coffee Prince House 2

House 4 House 5

 

The owner of the green house drinks coffee , German. Therefore the Swedish lives in the white and Danish blue .

 

  House Dog drink Veneno Position
British Red Bird

Cat goldfish
Milk Pall Mall Brends House 3
Swedish White Dog Beer Bluemasters
House 4 House 5
Danish Blue
Cat Bird Horse

goldfish
Tea Pall Mall Brends
House 2 House 5
Norwegian Yellow
Cat goldfish
Water Dunhill Casa 1
German Green
Cat
Horse goldfish
Coffee Prince House 2

House 4 House 5

 

The green house is on the left of the white , so green as the 4th and 5th white .

 

The person who has a horse lives next to the man who smokes Dunhill therefore lives in the 2nd .

 

  House Dog drink poison Position
British Red Bird Milk Pall Mall Brends House 3
Swedish White Dog Beer Bluemasters House 5
Danish Blue Horse Tea Pall Mall Brends House 2
Norwegian Yellow
Cat Pececito
Water Dunhill Casa 1
German Green
Cat Pececito
Coffee Prince House 4

 

The person who smokes Pall Mall has a bird , the British .

 

And finally the Brends smoker lives next to the one who keeps cats with what we resolute table.

 

  House Dog drink poison Position
British Red Bird Milk Pall Mall House 3
Swedish White Dog Beer Bluemasters House 5
Danish Blue Horse Tea Brends House 2
Norwegian Yellow cat Water Dunhill Casa 1
German Green Goldfish Coffee Prince House 4

 

Solving the riddle of Einstein .

 

German has a goldfish .