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NSNick
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Posted on 03-15-04 03:15 AM Link | Quote
This forum looked rather empty, so I decided to throw together a few puzzles:

1) Last week I bought a word processor small enough to fit in my pocket. It can write in any language and also add, multiply, subtract, divide. It has a delete facility that will correct any error made and no electricity or batteries are required to operate it. Amazingly, it only cost me 25 cents. How? [Ultimanium]

2) Divide $162 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $162, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require, and what are the dollar amounts in those bags? [Kirby all the way]

3) A set of football matches is to be organized in a "round-robin" fashion, i.e., every participating team plays a match against every other team once and only once.

If 21 matches are totally played, how many teams participated? [Apophis]

(edited by NSNick on 03-14-04 06:36 PM)
(edited by NSNick on 03-14-04 09:04 PM)
(edited by NSNick on 03-14-04 10:34 PM)
Utilityman

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Posted on 03-15-04 03:18 AM Link | Quote
1) A pencil

(edited by Ultimanium on 03-14-04 10:57 PM)
Apophis

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Posted on 03-15-04 03:21 AM Link | Quote
2) 17 bags. 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16
neotransotaku

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Posted on 03-15-04 03:31 AM Link | Quote
3) 6
NSNick
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Posted on 03-15-04 03:36 AM Link | Quote
Ultimanium is the only one who is correct.
neotransotaku

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Posted on 03-15-04 03:44 AM Link | Quote
okay..if not 6 then um...does this include playoffs and stuff? if so...then 5?

okay..i was short 1... 1 + 2 + 3 + 4 + 5 + 6 = 21...so i had the right number, i just didn't sum up to that number

(edited by neotransotaku on 03-14-04 06:52 PM)
Apophis

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Posted on 03-15-04 03:46 AM Link | Quote
3)

1&2 1&3 2&3 1&4 2&4 3&4 1&5
2&5 3&5 4&5 1&6 2&6 3&6 4&6
5&6 1&7 2&7 3&7 4&7 5&7 6&7


7 teams.
NSNick
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Posted on 03-15-04 06:04 AM Link | Quote
Apophis is correct. neo, you forgot that there has to be one more team than the highest number, because teams can't play themselves.
KATW

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Posted on 03-15-04 07:05 AM Link | Quote
2) 1, 2, 4, 8, 16, 32, 35, 64,

(edited by Kirby all the way on 03-14-04 10:06 PM)
NSNick
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Posted on 03-15-04 07:33 AM Link | Quote
Yup. Kirby's got #2. I'll post some more later.
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