More often than not, people are too concerned with solving problems and not exactly interested in the processes that derives the solutions to these problems. I was working on the ‘quiz’ on Kwang Guan’s blog, which I shall reproduce below:
“Below is a quiz written by Einstein last century.
It’s been translated and updated since then, but the logic is still the same. He said 98% of the people in the world can’t solve the quiz. Are you among the other 2%?”Facts:
1. There are 5 houses in 5 different colors
2. In each house lives a person with a different nationality.
3. These 5 owners drink a certain type of beverage, smoke a certain brand of cigar, and keep a certain pet.
4. No owners have the same pet, smoke the same brand of cigar or drink the same drink.Hints:
1. The Brit lives in a red house
2. The Swede keeps dogs as pets
3. The Dane drinks tea
4. The green house is on the left of the white house
5. The green house owner drinks coffee
6. The person who smokes Pall Mall rears birds
7. The owner of the yellow house smokes Dunhill
8. The man living in the house right in the middle drinks milk
9. The Norwegian lives in the first house
10. The man who smokes Blend lives next door to the one who keeps cats.
11. The man who keeps horses lives next door to the man who smokes Dunhill
12. The owner who smokes Blue Master drinks beer
13. The German smokes Prince
14. The Norwegian lives next to the blue house
15. The man who smokes Blend has a neighbor who drinks water
The question is: Who keeps fish? Try to work this out at the blank space below. Good luck!”
I told Kwang Guan that I took some time to solve it using Notepad on my computer. He declared that Anne (Marie, I’ll assume) and De Ren solved it quickly using Excel Spreadsheet. He personally preferred using what he claims to be a piece of paper, a pen and logic. I replied that the logic he is referring to, is basically elimination. I’m immediately a little intrigued by my own exclamation. I wonder how I actually solved the question; at that time it was partial guess and part trying to ‘fill in the blanks’ (which I believe was what Anne and De Ren did). I therefore decided to write about how my mind treated the ‘hints’ to eventually arrived at the answer.
The simplest way of looking at it is to adopt the rows & columns method with the rows placing the different traits: House Color, Nationality, Cigarette Brand, Drink and then Pets. Then the columns includes everything falling under the same house.
There’s little point in reading the hints sequentially, I decided to throw in all the possible values and then move them around according to the hints. I read through everything and jot down all the types of each traits:
| House Color | Yellow | Red | Green | White | Blue |
| Nationality | Norwegian | Brit | Swede | Danes | German |
| Cigarette | Pall Mall | Blend | Blue Master | Dunhill | Prince |
| Drink | Water | Beer | Coffee | Tea | Milk |
| Pets | Birds | Dogs | Cats | Fish | Horses |
After throwing everything into the grid with best effort to adhere by the hints; notice I try to fit the information provided directly by a single hint together as far as possible. Now make use of those hints that supplies information about the positions and tie them up together with the directly linked information:
| House Color | Yellow | Blue | Red | Green | White |
| Nationality | Norwegian | Dane | Brit | German | Swede |
| Cigarette | Dunhill | Blend | Pall Mall | Prince | Blue Master |
| Drink | Water | Tea | Milk | Coffee | Beer |
| Pets | Cats | Horse | Birds | FISH | Dogs |
After obtaining the first table, we identify the conflicts between the table and what is stated. Essentially when a hint ties up 2 things together, it’s like forming an odd-shaped piece of a puzzle to be fitted into the grid; interestingly, when a hint that ties up 2 things that each already have another trait tied to it by other hints would all together form a bigger piece of the odd shape. This process allows us to fit bigger pieces into the grid and then examine the remaining pieces.
Eventually we have everything on the grid except the ‘Fish’ which is then identified under the ‘German’. There we got our answer. It’s hard to describe the ‘working’ for this question because it entails continually working on the hints, synthesizing information and thus filling up the grid. A stepwise dictation of the method would be impractical in conveying the treatment of this question. I’m essentially describing a means by which we can try to organize the various data to achieve the solution.
Somehow this is a bit like Sudoku except the hints govern the placement of the different traits…