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#1 rookie1ja


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Posted 30 March 2007 - 06:20 PM

Gardens - Back to the Einstein's Riddles
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. Pears are 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 grower doesn'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. Tulips are only in two gardens.
17. Apples are in a single garden.
18. Only in one garden next to the 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?

This old topic is locked since it was answered many times. You can check solution in the Spoiler below.
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Spoiler for Solution

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#2 JSW



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Posted 07 November 2007 - 10:03 PM

My Solutions process:
  • Write out clues and cross reference
    Ex: Nuts => gourd & parsley => no rose, no aster (Clues 9,10,11)
  • Write out limit: # variety & where or who
    Example = 2 cherries: #1, Sam; 1 apple: #1; 2 tulips: ?,?; ...

  • Spoiler for Who is the Nut Grower?
  • Who lives where?
  • Write who has what (so far)?
  • Who grows only 1 kind of crop?
  • Which variety is in 4 gardens?
  • Who has all 3 kinds of crops?
  • Re-check limits

Joshua S. Weinstein
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#3 axdr



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Posted 22 March 2008 - 03:49 AM

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#4 onetruth


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Posted 09 April 2008 - 12:15 AM

Spoiler for Possibly...

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#5 informatician



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Posted 14 October 2009 - 05:08 PM

I am new to this site, so I hope that I am not being too bold. Especially since I'm replying to a year+ old post. However, In onetruth's alternate answer, hint # 4 is not accounted for, therefore it is not possible.
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#6 AVV



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Posted 03 November 2009 - 02:11 PM

Yeah... for the clue#4
Only one variety is in 4 gardens.
I don't see any variety is in 4 gardens.
And, i think there is no answer possible to that clue.
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#7 Jubjub


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Posted 14 November 2009 - 01:35 AM

The easiest method is to just to use a grid.
Otherwise you just cause migraines
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#8 nicolet



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Posted 03 February 2010 - 05:48 AM

It does work just be careful...

9. Aster grower doesn't grow vegetables.
10. Rose grower doesn't grow parsley.
11. Nuts grower has also gourd and parsley.

... These clues don't necessarily mean there is only 1 aster grower, 1 rose grower and 1 nut grower

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#9 Queequeg



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Posted 18 February 2010 - 09:41 AM

I have to say that clue 10 is badly phrased. I would submit that we want our students to correctly infer singulars and plurals from clues 9 and 11. I suggest that clue number 10 should read, "In no garden are both rose and parsley." As to the above statement that the clues 9-11 do not imply a singular garden appearance, I would ask for the proof that there is still a unique solution!
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#10 vee's brain

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Posted 08 March 2010 - 07:13 AM

this is awsome-
Spoiler for

Queequeg, i understand what you mean about the phrasing but since it is a riddle it should be stated in that sort of manner.
Jubjub, i'm not so sure grid would work, and if it does u would need a multi-dimensional grid which would cause an even bigger headache

Edited by vee's brain, 08 March 2010 - 07:16 AM.

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