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Logic is a bugger...
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Salmoneye    Posted 02-01-2005 at 12:29:14       [Reply]  [No Email]
Bob NY got me thinking (dangerous)...

Here is a mind puzzle for everyone...SHamelessly stolen from a site where I play...


1. There are 2 beakers each containing an equal amount of liquids

2. Both liquids have similar properties with regards to molecule size, specific weight, and density (they will mix into a homogeneous solution)


1. Take a teaspoon of the liquid in beaker 1 and mix it into beaker 2

2. After thorough mixing take a teaspoon of the mixture in beaker 2 and mix it into the liquid in beaker 1

Now tell me is there...

A) more of the liquid in beaker 1 mixed into beaker 2


B) more of the liquid in beaker 2 mixed into beaker 1


C) or are there equal amounts of liquid 1 in beaker 2 and liquid 2 in beaker 1

Alias    Posted 02-01-2005 at 15:43:31       [Reply]  [No Email]
There is more of the original liquid from beaker #1 in beaker #2.

Once a spoonful of liquid from #1 is added to and mixed with the liquid in #2, the liquid in #2 becomes contaminated. Which means it is unpure or weakened.

Now, if a spoonful of the weakened liquid from #2 is added to #1, there will be less of the original liquid transferred. Because, included in the second spoon full is some of the liquid from the first spoonfull.

Therefore, A = yes, B = no, and C = no.

But, I wouldn't wager any money on it.......gfp

And the answer is...    Posted 02-01-2005 at 14:16:46       [Reply]  [No Email]
Answer is C



Move 6 parts (one teaspoon) or 1/3 (amount makes no difference)


Mix and then Move back 6 parts (one teaspoon) of the new mix (what is now 1/4 of the total):

1/4 of X = 4.5 parts
1/4 of O = 1.5 parts

OOOO( /X........XXXX\ )O

Exact same amounts of each fluid have been moved to the other beaker...

4.5 parts of liquid 1 are in beaker 2, and 4.5 parts of liquid 2 are in beaker 1...


tacon1    Posted 02-01-2005 at 18:35:10       [Reply]  [No Email]
What if each beaker started out with one gallon of liquid and your problem stated to move only one teaspoon? The proportions certainly would not be as the solution stated, would they? I think the ones that guessed "A" would be correct. No?

Hey Tac...    Posted 02-01-2005 at 19:06:28       [Reply]  [No Email]
The phaonmneel pweor of the hmuan mnid: I cdnuolt blveiee taht I cluod aulaclty uesdnatnrd waht I was rdgnieg. Aoccdrnig to a rscheearcr at Cmagbride Uinervtisy, it deosn't mttaer in waht oredr the ltteers of a wrod are, the olny iprmoatnt tihng is taht the frist and lsat ltteer be in the rghit pclae.

The rset can be a taotl mses and you can sitll raed it wouthit a porbelm. Tihs is bcuseae the huamn mnid deos not raed ervey lteter by istlef, but the wrod as a wlohe. Amzanig huh?


Hiccup !    Posted 02-01-2005 at 19:03:36       [Reply]  [No Email]
Specially if the gallon is Kentucky's best. LOL

- Peanut

PS - See Salomoneye all answers are actually correct. I could provide enough logic (not necessarily good logic but logic nonetheless) to prove each one.

i got it i got it    Posted 02-01-2005 at 14:01:19       [Reply]  [No Email]
ninety nine bottlrs on the wall ninety nine bottles on the wall, i drank one then there werw ninety eight beetles 0of bot

LOL!    Posted 02-01-2005 at 14:06:01       [Reply]  [No Email]
Even if you are wrong...

You get an A!


bob ny    Posted 02-01-2005 at 13:49:14       [Reply]  [No Email]
is it possible the vo;ume increases when thourghly mixed bubbles or such

Nope...    Posted 02-01-2005 at 13:58:33       [Reply]  [No Email]
No bubbles...Simple logic, but can be done with 'math' too...

15 minutes left :-)

Willy-N    Posted 02-01-2005 at 13:03:56       [Reply]  [No Email]
You started with a dry spoon in Beaker #1 and put a precribed amount it #2, then you removed the same amount from from #2 and put it back in #1 but the spoon would still be wet so there is less in #2 Beaker now due to the spoon being wet. Am I right? Mark H.

Nope...    Posted 02-01-2005 at 13:10:52       [Reply]  [No Email]
No trick and we 'assume' that the wet spoon does not matter...

Willy-N    Posted 02-01-2005 at 14:14:40       [Reply]  [No Email]
Both equill unless they were differnt fluids and the surface tention caused the fluid level to be different in the Teaspoon. Mark H.

slim    Posted 02-01-2005 at 13:00:29       [Reply]  [No Email]
I think it's in the wording.

C is correct in that there are equal amounts of liquid in each beaker. But if you are talking about is there is more of the liquid that was originally in A now in B than the liquid that was originally in B now in A then you have a different answer.


Well...    Posted 02-01-2005 at 13:13:18       [Reply]  [No Email]
This is C:

C) or are there equal amounts of liquid 1 in beaker 2 and liquid 2 in beaker 1

The total 'volume' in each beaker is the same at the end, but...

The question in C is, is there the same amount of each liquid that has been moved to the other beaker...

bob ny    Posted 02-01-2005 at 12:39:47       [Reply]  [No Email]
if you take a spoonfull of beaker i put it in beaker 2 than take a spoonfull of beaker2 the mixture is dilutided never mind we are talking identical liquid. you got me got to br wording

Salmoneye    Posted 02-01-2005 at 12:41:06       [Reply]  [No Email]
Not a trick...There is a logical answer...

Peanut    Posted 02-01-2005 at 12:37:35       [Reply]  [No Email]

Nope    Posted 02-01-2005 at 12:44:22       [Reply]  [No Email]
And I expect an explanation ;-)


Hmm    Posted 02-01-2005 at 12:50:03       [Reply]  [No Email]
Well since I was wrong ... I'll share my flawed logic as well as my incorrect answer.

Teaspoon of liquid from beaker 1 added to beaker two and thoroughly mixed means beaker 1 liquid is now diluted in the entire volume of beaker 2.

Taking the same measured amount of liquid from beaker two and adding to beaker 1 means the measured amount from beaker two contains a smaller amount of original beaker 1 liquid.

Exactly...    Posted 02-01-2005 at 12:55:23       [Reply]  [No Email]
Logic is correct...Conclusion is wrong...


Salmoneye, Who Will Reveal The Answer At 5 PM Eastern...

Doggonit    Posted 02-01-2005 at 12:59:10       [Reply]  [No Email]
Now I see it - DUHHHHHHHH

I needed...    Posted 02-01-2005 at 13:05:53       [Reply]  [No Email]
A pencil and a bunch of X's and O's, so don't feel bad LOL...

Gerrit    Posted 02-01-2005 at 12:34:51       [Reply]  [No Email]

Nope...    Posted 02-01-2005 at 12:43:40       [Reply]  [No Email]
And I expect an explanation ;-)

D    Posted 02-01-2005 at 13:27:08       [Reply]  [No Email]
C...Remove 1 tsp of liquid out of beaker#1 - move into beaker # 2= mixture. Now beaker #2 has 1 more tsp of liquid added to it's original mixture. Take 1 tsp of the mixture from beaker#2 add it back into beaker #1 and this mind bender is making my head hurt.

Thanks Salmoneye :(

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