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#22093 - 10/14/03 02:55 PM Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16273
Loc: Leesburg, Virginia
No, that's not an insult. I thought some people here might like a place that challenges the brain in a different way. So this will be the riddle / brain teaser thread. (This may flop completely, but it's worth a try. I know at least I love riddles. )

I'll start it off with one of my favorites.

You have 12 similar looking balls. 11 of them weight the same. One of them is slightly heavier than the others. You also have a scale. You can put balls on both sides of the scale and it'll tell you which side is heavier or will stay in the middle if both sides weight the same. Here's the kicker: You can only use the scale 3 times. How can you find the one ball that is heavier?
_________________________
"I wish I had documented more…" said nobody on their death bed, ever.

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#22094 - 10/14/03 03:03 PM Re: Use your brain!
OGS20 Offline
old hand

Registered: 08/23/02
Posts: 65
Loc: TO
Put 6 balls on each side. One side will be heavier.

Take the 6 balls from the heavier side, split them into 3 each, and put them on different sides. One side will be heavier.

With the 3 balls from the heaiver side remaining, take TWO, put 1 on each side. If one side/ball is heavier, then that's the one. If they both weigh the same, then the third ball is the heavier one.



Give me another one, I'm bored at work

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#22095 - 10/14/03 03:53 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16273
Loc: Leesburg, Virginia
You can also start with 5 balls on each side, leaving 2 aside to measure if the others weigh the same.

Ok then. Here's the same riddle with a nasty twist:

You have 12 similar looking balls. 11 of them weigh the same. One of them has a slightly different weight, BUT you don't know whether it is heavier or lighter. You also have a scale. You can put balls on both sides of the scale and it'll tell you which side is heavier or will stay in the middle if both sides weight the same. Again, you can use the scale only three times. How can you find out whether the different ball is lighter or heavier and which one it is?

(I haven't been able to figure this one out, but it is solvable as far as I know.)
_________________________
"I wish I had documented more…" said nobody on their death bed, ever.

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#22096 - 10/14/03 06:05 PM Re: Use your brain!
sushi Offline
connoisseur

Registered: 02/09/03
Posts: 1490
Loc: Dallas, TX
Umm... I give up on the second version!!! Are you sure it's solvable?


Okay, here is my favorite:

There are two rooms next to each other: one with three switches, the other with three light bulbs. Each one of these switches turns on/off one corresponding light bulb in the other room. You can come in to each room only once, manipulating/observing the switches and light bulbs. How do you determine which switch is connected to which light bulb?

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#22097 - 10/14/03 06:30 PM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
I know that one Sushi, but I'll give someone else a chance to think about it for a while first.

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#22098 - 10/14/03 06:35 PM Re: Use your brain!
mwc Offline
aficionado

Registered: 07/21/02
Posts: 958
Loc: Texas(DFW)..that country to th...
I,m so glad to see you boys playing so nicely!
_________________________
*Does your train of thought have a caboose?*

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#22099 - 10/14/03 06:41 PM Re: Use your brain!
Andy_R Offline
regular

Registered: 09/25/03
Posts: 7
Loc: Adamstown, MD USA
This is a nice spot for puzzles, but the best place to go is:
http://www.lateralpuzzles.com/

-Andy

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#22100 - 10/14/03 06:42 PM Re: Use your brain!
Andy_R Offline
regular

Registered: 09/25/03
Posts: 7
Loc: Adamstown, MD USA
Sorry about that last post, but I could not resist.
All in good fun. Please don't ban me. ;-)

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#22101 - 10/14/03 06:48 PM Re: Use your brain!
Andy_R Offline
regular

Registered: 09/25/03
Posts: 7
Loc: Adamstown, MD USA
Oh, and the answer to the puzzle is:
Turn switch 1 on and leave it on for 10 minutes or so.
Turn off switch 1, turn on switch 2, then go to the other room.
The light that is on goes with switch 2, the light that is off but warm goes with switch 1, and the light that is off and cold goes with switch 3.


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#22102 - 10/14/03 06:49 PM Re: Use your brain!
sushi Offline
connoisseur

Registered: 02/09/03
Posts: 1490
Loc: Dallas, TX
Yes, Andy the BAD BOY, you will be evicted!!!

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#22103 - 10/14/03 09:36 PM Re: Use your brain!
twopecker Offline
local

Registered: 07/20/03
Posts: 290
Loc: Nebraska
Now you got me thinking of a riddle I saw on a website a while ago, and could not figure out:

I have two dozen doors that lead to nowhere.

answer?

any guesses?

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#22104 - 10/15/03 12:41 AM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16273
Loc: Leesburg, Virginia
_________________________
"I wish I had documented more…" said nobody on their death bed, ever.

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#22105 - 10/15/03 01:37 AM Re: Use your brain!
JohnK Offline
shareholder in the making

Registered: 05/11/02
Posts: 10383
Doors themselves never lead anywhere; doorways do.
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-----------------------------------

Enjoy the music, not the equipment.



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#22106 - 10/15/03 08:50 AM Re: Use your brain!
OGS20 Offline
old hand

Registered: 08/23/02
Posts: 65
Loc: TO
Blimey, I'm stumped (Doesn't take much anyways ...)

You've got a solution to this one? Or does someone just says there is one? I imagine you separate the balls into 3 groups and you have to mix and match them for the 2nd and 3rd weighings but can't get the math to work ....

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#22107 - 10/15/03 08:17 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16273
Loc: Leesburg, Virginia
I have the solution! (Ok, so I found it. ) Lemme know when you want it.

The secret lies in assigning each ball a unique "code" made up of the 3 positions that it can occupy during each use of the scale: left, right, or set aside.
_________________________
"I wish I had documented more…" said nobody on their death bed, ever.

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#22108 - 10/16/03 08:49 AM Re: Use your brain!
OGS20 Offline
old hand

Registered: 08/23/02
Posts: 65
Loc: TO
Yeah, I did that -- 3 groups each (A, B, C) and each ball is numbered (A1, A2 .... C3, C4).

You weigh 2 groups first and leave one group off, then the second time you mix and match all 12 balls (hence the numbering). Right? Well at least I'm on the right track, right ...

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#22109 - 10/16/03 11:12 PM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
Here's a new one, I'm not sure if it's solvable...if it is I've never been able to figure it out. Take a piece of paper and draw 3 houses (a square with a triangle on top of it). Then put the letters G, O, and W on the paper. These stand for Gas, Oil, and Water. Draw a line from the gas to each house, oil to each, and water to each. The catch is, the lines from different sources cannot cross each other. I'd post a picture but don't have a web server to do it from. I'd love to know the solution if anyone can figure it out and post a picture of the solution, or a proof that it can't be solved if it can't.

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#22110 - 10/16/03 11:55 PM Re: Use your brain!
Saturn Offline
connoisseur

Registered: 10/21/02
Posts: 1041
Loc: Toronto Ontario Canuck

The only criteria is that you can not cross different sources. Gas is crossing itself.
_________________________
http://www.quadloft.com/hometheater- new HT

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#22111 - 10/17/03 08:29 AM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
That's the closest I have come. I'm looking for a way to do it where you can't run lines through the houses like you did with Gas.

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#22112 - 10/17/03 10:12 AM Re: Use your brain!
JasonG Offline
local

Registered: 04/29/02
Posts: 216
Loc: central Ohio
Oil?

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#22113 - 10/17/03 12:38 PM Re: Use your brain!
twopecker Offline
local

Registered: 07/20/03
Posts: 290
Loc: Nebraska
Put the gas line in the middle house then if you dont want it to go through all of them.

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#22114 - 10/17/03 12:41 PM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
If gas starts in the middle it can get to 2 of the 3.

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#22115 - 10/17/03 03:28 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16273
Loc: Leesburg, Virginia
Yup, some houses out East use oil for their furnaces.
_________________________
"I wish I had documented more…" said nobody on their death bed, ever.

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#22116 - 10/17/03 03:44 PM Re: Use your brain!
JasonG Offline
local

Registered: 04/29/02
Posts: 216
Loc: central Ohio
Oil-fired furnaces I'm familiar with. An oil line to the house I'm not. Even if there is such a thing as an oil line to a house, I'd expect oil lines and gas lines to be mutually exclusive.

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#22117 - 10/17/03 03:57 PM Re: Use your brain!
Saturn Offline
connoisseur

Registered: 10/21/02
Posts: 1041
Loc: Toronto Ontario Canuck
I concur with Jason. So that leaves us with water. Water doesnt have to be mutually exclusive. Such as water in an apartment is all daisy chained from the source. So you could be getting your tap of the water through your neighbor. So in my drawing exchange the G for W and in reality should be workable.
_________________________
http://www.quadloft.com/hometheater- new HT

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#22118 - 10/17/03 05:38 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16273
Loc: Leesburg, Virginia
Workable, but perhaps not what the riddler intended.
_________________________
"I wish I had documented more…" said nobody on their death bed, ever.

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#22119 - 10/20/03 01:47 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16273
Loc: Leesburg, Virginia
The 3 houses, 3 utilities rule has no solution. After trying endless combinations of lines on paper, I caved. I looked at some math website and turns out it is mathematically impossible. I'm not so dumb after all!
_________________________
"I wish I had documented more…" said nobody on their death bed, ever.

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#22120 - 10/20/03 10:13 PM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
I didn't think it was solvable. If you have a link to the math website that proved it though I'd like to see it...please post it here. I won't have to feel dumb anymore either!

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#22121 - 10/21/03 01:24 PM Re: Use your brain!
pmbuko Offline
shareholder in the making

Registered: 04/02/03
Posts: 16273
Loc: Leesburg, Virginia
Here's a link with some gory details on the unsolvability of the 3 houses riddle:

http://rec-puzzles.org/new/sol.pl/geometry/K3,3
_________________________
"I wish I had documented more…" said nobody on their death bed, ever.

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#22122 - 10/21/03 10:26 PM Re: Use your brain!
Zarak Offline
connoisseur

Registered: 03/09/03
Posts: 1849
Loc: PA
Alright, so the gory details are a bit more Geometry and proofs then I have had to think about in a while, but I think I got the general gist from that without getting into the details too much. Some of the details are a bit beyond me anyway. Thanks for the info though. I've always wondered about that one!

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