Question

anyone interested in having fun with math, try this:

Answer 1

Five friends have their gardens next to one another, where they grow three kinds of crops: fruits (apple, pear, nut, cherry), vegetables (carrot, parsley, gourd, onion) and flowers (aster, rose, tulip, lily).

1. They grow 12 different varieties.
2. Everybody grows exactly 4 different varieties
3. Each variety is at least in one garden.
4. Only one variety is in 4 gardens.
5. Only in one garden are all 3 kinds of crops.
6. Only in one garden are all 4 varieties of one kind of crops.
7. Pear is only in the two border gardens.
8. Paul's garden is in the middle with no lily.
9. Aster grower doesn't grow vegetables.
10. Rose growers don't grow parsley.
11. Nuts grower has also gourd and parsley.
12. In the first garden are apples and cherries.
13. Only in two gardens are cherries.
14. Sam has onions and cherries.
15. Luke grows exactly two kinds of fruit.
16. Tulip is only in two gardens.
17. Apple is in a single garden.
18. Only in one garden next to Zick's is parsley.
19. Sam's garden is not on the border.
20. Hank grows neither vegetables nor asters.
21. Paul has exactly three kinds of vegetable.

Who has which garden and what is grown where?

Answer 2

NB: i do not have the answer key, so I will try to solve this and provide the answer tomorrow. if you're interested in solving it though, leave your answers in this thread and how you arrive at your answer :)

Answer 3

NB: i pulled this off the web too so just a heads up, no cheating.

Answer 4

Hank ---- pear applle cheirry rose
Sam--- cherry onion rose tullip
Paul--- carrot gourd onion rose
Zick:-- aster rose tulip lilly
Luke: ---pear nat gourd parsley

Answer 5

I searched for google it said "No cheating" :D

Answer 6

@Yahoo! please mention the link of your answer also :
http://www.mathsisfun.com/puzzles/gardens-solution.html

Answer 7

and btw yahoo how did you arrive at your answer...? seems interesting

Answer 8

Well I know @sasogeek that how he arrived to the answer

1) saw the quest.
2) right click and clicked copy or just ctrl+c
3) searched in google
4) clicked on the link
5) repeated step 2 for answer
6) pasted here
7) posted

"sorry if this irritated you" ..@sasogeek

Answer 9

really if that's what happened which i have anticipated though, then im very disappointed. i'm currently scripting a program to solve it though... will see how it goes

Answer 10

hmn though I will like to try

Answer 11

but I will prefer to just make this whole para (novel) as given things..........that will make the process easy