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Geek Culture / IQ question!

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D I G I T A L
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Posted: 22nd Mar 2004 03:14 Edited at: 22nd Mar 2004 03:19
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you have a basket with apples in it(unknown number of apples). One apple duplicates every 1 minute(2 becomz 4, 4 becomz 8...etc). the basket is full with apples after one hour(60 minutes). here's the question:
WHEN did the apples reach half the basket?

| |------after 60 min the basket was full
| |
| |
| |------Half the basket
| |
| |
| |
___________/

stretch ur brains everyone the answer will b posted after 24 hours.

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D I G I T A L
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Posted: 22nd Mar 2004 03:20
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sorry about that drawing, i tried aligning the stripes together. anyways its a shape of a basket!

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Wik
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Posted: 22nd Mar 2004 03:30
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1/2 hour?


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Neil19533
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Posted: 22nd Mar 2004 03:30
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59 minutes after starting or 1 minute befor 60 minutes

I wonder where that fish did go, a fish, a fish, a fish, O
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HZence
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Posted: 22nd Mar 2004 03:49
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Quote: "One apple duplicates every 1 minute"


If only one apple duplicated, then you'd just be adding one every minute, so...

The basket became full after an hour.

(But that's probably not what you meant)


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TheAbomb12
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Posted: 22nd Mar 2004 03:51
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what neil said

Amist the Blue Skies...
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Wik
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Posted: 22nd Mar 2004 03:54
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Quote: "The basket became full after an hour.

(But that's probably not what you meant)"


That's already specified...so wouldn't it be half full after half an hour?


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Neil19533
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Posted: 22nd Mar 2004 04:03
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its come to close scrutiny of the word now.
Quote: "(2 becomz 4, 4 becomz 8...etc). "
if this is here to confuse people then you are right.

I wonder where that fish did go, a fish, a fish, a fish, O
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CattleRustler
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Posted: 22nd Mar 2004 04:42
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31 minutes in



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TheAbomb12
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Posted: 22nd Mar 2004 05:22
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I think he meant that any single apple that exists creates a duplicate of itself. In other words, the amount of apples in the bascket doubles each minute. 1 becomes 2; 2 becomes 4 ; 4 becomes 8.

This can be represented by 2^n where n is any integer number starting from 0. (a is the number of minites it takes to be full) So if the Basket is full in 60 minutes which is denoted by 2^a, the answer to the question would be 2^(a-1).

2^60 = 2^a
therefore
60-1 = a - 1
therefore
59 = the number of minites it takes for the bascket to be halffull

Amist the Blue Skies...
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UnderLord
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Posted: 22nd Mar 2004 05:49
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Quote: "If only one apple duplicated, then you'd just be adding one every minute, so...

The basket became full after an hour.

(But that's probably not what you meant)
"


if two apples become 4 then that means each apple in the basket would add one more you see =).

Yes i can see the reasoning on why it'd be 59 minutes if it takes 59 minutes to become half full then that means that at 60 minutes it would be totally full since each apple would duplicate. Wow wish i would have gotten here sooner hehe.

The search continues.

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HZence
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Posted: 22nd Mar 2004 05:54
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Quote: "if two apples become 4 then that means each apple in the basket would add one more you see "


Yes. but look at the way he worded it...

Quote: "One apple duplicates every 1 minute"


If only one is duplicating...then you're adding one. BUT anyway...

I'm gonna say 29 minutes.


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CattleRustler
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Posted: 22nd Mar 2004 07:00
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I see it as one apple (only one) duplicates every one minute so

clock as minutes, apples as apples

begin
clock=0 apples=1
clock=1 apples=2
clock=2 apples=3
clock=3 apples=4
...
clock=59(60 min elapsed) apples=60

therefore
clock=29 apples=30

therefore my earlier answer of 31 is wrong

therefore its 29...

or 3.1459, or 1788835.099999364

29-final answer




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TheAbomb12
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Posted: 22nd Mar 2004 07:16 Edited at: 22nd Mar 2004 07:17
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Quote: "begin
clock=0 apples=1
clock=1 apples=2
clock=2 apples=3
clock=3 apples=4
...
clock=59(60 min elapsed) apples=60

therefore
clock=29 apples=30"


yes normally that would be all good but...its an unknown amount of apples; you have no clue if there are 60 apples or 100 apples.

on top of that, 01DIGITAL10 after every minite
Quote: "2 becomz 4, 4 becomz 8...etc)."


NOT one at a time.

Quote: "clock=1 apples=2
clock=2 apples=3"

this is not doubling; its adding one apple at a time. according to 01DIGITAL10,

clock 0 = 1 apple
clock 1 = 2 apples
clock 2 = 4 apples
clock 4 = 8 apples

I know he said
Quote: "One apple duplicates every 1 minute"


but then he also said
Quote: "(2 becomz 4, 4 becomz 8...etc)."


So he MUST have meant that the amount of apples doubles each minuite.

Amist the Blue Skies...
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CattleRustler
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Posted: 22nd Mar 2004 08:27
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either way it's 29. I can feel it. LOL



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Flashing Blade
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Posted: 22nd Mar 2004 11:09
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I think wording is wrong - I think he means total apples double after each minute in which case answer is 59 minutes.
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Dave J
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Posted: 22nd Mar 2004 12:13
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Yup, I'm saying 59 as well. Very simple reasoning, it's doubling and it's full at 60 so therefore it must have been half at 59.

Also, if you want to see it like CR worked his out, you could just double a number until you were happy:

1
2
4
8
16
32
64

We may assume 64 is full (although it doesn't really matter), so just look down the list to find half the number. It's the previous one so it's just one minute before the full basket of apples, which has already stated to be 60 mins so of course it's 59.

It doesn't matter that you don't know how many there were to begin with or how many constitute a full basket. No matter what numbers you will use (considering you always use the right formula (doubling in this case)), you'll always get the same result - 59. I'm just trying to explain that you can answer the question on multiple ways and get the same answer.


"Computers are useless they can only give you answers."
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IanM
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Posted: 22nd Mar 2004 14:28
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It is 59 minutes.

If it is full at 60 minutes, then you know that the number for half of that is 1 minute less (as the number doubles every minute)

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Pincho Paxton
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Posted: 22nd Mar 2004 15:32
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59 minutes. Although my computer says 60 minutes but I must have typed something wrong.


apples# = 0.000001
Dim basket#(60)
for n = 1 to 60
basket#(n) = apples#
apples# = apples# * 2
next n

Print apples#

for n = 1 to 60
if basket#(n) = (apples#/2) then print n
next n

suspend for key

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D I G I T A L
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Posted: 23rd Mar 2004 00:06
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well everyone! there's still 3 hours left to complete a whole 24 hour. but i guess i'll post the answer...

and the answer is........



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UnderLord
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Posted: 23rd Mar 2004 00:09
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oh POKE

The search continues.

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Mussi
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Posted: 23rd Mar 2004 00:11
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this is an IQ question?



Specs: AMD Athlon 1800, 256 DDRRam 266mhz, 80GB HD 7200rmp U133, Geforce 4 Ti4400 128mb
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TheAbomb12
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Posted: 23rd Mar 2004 00:14
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Woo hoo!




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CattleRustler
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Posted: 23rd Mar 2004 00:32
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I still say it's 29, no 31, no 61....AHHHHHHH! LOL

j/k




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Rob K
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Posted: 23rd Mar 2004 00:46
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I love these kind of puzzles, here are a few easy logic ones:

1. A man is dead inside a house in a pool of water. There is no way anyone can get in or out of the house. There is a noose in the room but its 10ft off the floor. How did the man die?

2. There is a room with a light bulb in, and there are three toggle switches outside the room on the floor above. One of the switches turns the light bulb on, but you don't know which. When any of the switches are on, the doors to the room below lock shut so you can't go in.
How do you find out which switch turns the light on?

3. A plane crashes on the border between France and Italy, where do they bury the survivors?

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Neil19533
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Posted: 23rd Mar 2004 01:05 Edited at: 23rd Mar 2004 01:06
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1. ice expands when it is frozen so he stood on the ice and Dies!!.then it defrosted. making a pool of water.
2. stay in the room and get someone else to flick the switch?
3. you dont bury survivours

Quote: "3x2c+v=q2/5 a mathmatical equation to prove it."


I wonder where that fish did go, a fish, a fish, a fish, O
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jrowe
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Posted: 23rd Mar 2004 01:05 Edited at: 23rd Mar 2004 01:07
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Rob K: 1. Many ways he could die, for instance slipping because of the water while trying to reach the noose and cracking his head open or drowning (you didn't say how deep the pool of water is). Or there's the ice thing above (Good thinking Neil19533)...

2. Dunno, ent going to think about it becuase I'm tired so I'm going to say ask a friend to stand in the room and play with the switches.

3. No where, why bury survivors?


For Fathers and Sons who enjoy wholy spirits.
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comando 300
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Posted: 23rd Mar 2004 01:24 Edited at: 23rd Mar 2004 01:29
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2.You flick up the first switch, wait a little, flick the switch then flick up the second switch and enter to the room and touch the bulb. If it cold then is the third switch, if it on then is the second switch,but if it off but warm is the first switch.

Hope I was clear

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Fallout
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As said above by many people the answer is 59 minutes, but only if on the next duplication at the 1 hour point the basket doesnt overflow (i.e. too many apples). If that's the case, it doesn't have a proper answer. Who said doubling from 32 to 64 won't overflow the basket, for example?

Pedantic me.

Blowing the shite out of people sinse 1981.
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Pincho Paxton
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Posted: 23rd Mar 2004 01:56
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Quote: "the basket is full with apples after one hour("



This actually says that it is full after 1 hour.

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Rob K
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Posted: 23rd Mar 2004 01:56
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@neil

Correct regarding (1) and (3). Number (3) works better when said aloud.

@commando

Correct (2)

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Peter H
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comando300 answer to 2. is wrong becuase you can't go into the room with toggle2 on!

my answer is right if the doors unlock when all toggles are off...


rob.k
1.(already answered correctly)
2.
for togglenum=1 to 3
turn on toggle number x for 5 minutes then turn it off and go check if the bulb is hot if so then togglenumber togglenum is the correct toggle.
next togglenum
3.(already answered correctly)

You know, when i see an old lady slip and fall on the side walk, my first instinct is to luagh, but then i think, what if i where an ant? and she fell on me, it just doesn't seem so funny anymore.
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Pincho Paxton
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Here's one!

You are given 8 bags of gold coins + 1 bag of fake gold coins.
You are also given a set of scales that require a coin to be inserted into the top. You are give a coin to put in the scales. These scales are very accurate, but only give you 1 reading. You cannot remove anything from the scales, or add anything to them once you have your reading.

The real gold coins weigh 10grams The fake coins weigh 0.1 grams more than the real gold coins. You have to correctly predict every bag of coins with your 1 reading. How do you do it?

Pincho.

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Phaelax
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That's simple. If it doubles every minute, and the basket is full at 60 minutes, then its half full 1 minute ago. So 59 minutes, the basket is half full.

"eureka" - Archimedes
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Fallout
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Posted: 23rd Mar 2004 02:15
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Pincho, are you sure it's only one reading?

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Pincho Paxton
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Posted: 23rd Mar 2004 02:21
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Yeah you only get 1 reading.

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D I G I T A L
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Posted: 23rd Mar 2004 02:21
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Pincho Paxton thats a challenging piece u got there!! i'll have to smoke weed for knowing this one!!

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Fallout
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Posted: 23rd Mar 2004 02:35
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I've heard the same one, but with more weighings, so I'm skeptical!!!

Blowing the shite out of people sinse 1981.
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Fallout
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I'm pretty sure it takes two weighings mate!

-(WEIGHING 1) Three on each side of the scales and three left off the scales.
-If they balance, the three on the floor have the fake bag, else the side that goes up has the fake bag.
-(WEIGHING 2) Clear the scales and put 1 bag on each side from the lighter 3. If they balance, the fake bag is the one on the floor. Otherwise the one which goes up is the fake bag. The rest are true gold.

I'm sure this one is two weighings. If its 1 weighing, I'm clueless!

Blowing the shite out of people sinse 1981.
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Fallout
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Posted: 23rd Mar 2004 02:46 Edited at: 23rd Mar 2004 02:48
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Ooo, I take it back. I've just realised bags of coins can have coins removed from them. Let me think further.

EDIT. Btw, I was thinking along the lines of balancing scales. Do you mean measuring scales? Ok .. lemme think.

Blowing the shite out of people sinse 1981.
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Fallout
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Posted: 23rd Mar 2004 02:53 Edited at: 23rd Mar 2004 02:53
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Right
-Put bag 9 to the side.
-Put on 1 coin from bag 1
-Put on 2 coins from bag 2
-Put on 3 coins from bag 3
-Put on 4 coins from bag 4
-Put on 5 coins from bag 5
-Put on 6 coins from bag 6
-Put on 7 coins from bag 7
-Put on 8 coins from bag 8

Then consult the Fallout coin chart!
Weight | Bag with fake coins
360 ------- 9
360.1 ----- 1
360.2 ----- 2
360.3 ----- 3
360.4 ----- 4
360.5 ----- 5
360.6 ----- 6
360.7 ----- 7
360.8 ----- 8

Purely me being thick and not understanding the riddle in the first place.

Blowing the shite out of people sinse 1981.
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Pincho Paxton
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Posted: 23rd Mar 2004 02:54 Edited at: 23rd Mar 2004 02:57
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Well yeah the .1 .2 .3 .4 .5 etc tell you which bag is the fake one.

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comando 300
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I resolved this.But if someone want try it.

http://www.plastelina.net/games/game2.html

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Fallout
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good game. Needed a bit of thinking, but not too much, and a few graphics here and there keep it interesting.

Blowing the shite out of people sinse 1981.
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JoelJ
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goldie one:
pick up one coin in you left hand from one bag, pickup another coid from another bag, what one's heavier? the one that's real gold, if the same, try two differnt bags.
when they feel differnt, weigh the lighter one, if its .1g then it tis the fake :p

heres one of my own:
A man is on an island, he has a boat a fox, a rabbit and a head of lettus(sp?). When left alone, the fox will eat the rabbit, and the rabbit will eat the lettus. he can only have one other thing in the boat with him at a time. how does he get accros with everything still in tact
ps->he cant leave them alone on either side of the water (ie bring rabbit over then the lettus, that wouldnt work, and he cant bring the fox over first, because the rabbit will eat the lettus.)

answer in a code box (or source), so everyone can have a shot :p

Do you model? contact me: joelthebod@hotmail.com
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Dave J
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Not quite sure I understand Darwin. If he's not allowed to leave something on the other side alone then it doesn't sound like it's possible. In which case it must be some trick question. lol.

Quote: "I resolved this.But if someone want try it."


'Twas a tad bit too easy.


"Computers are useless they can only give you answers."
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Flashing Blade
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Posted: 23rd Mar 2004 10:36 Edited at: 23rd Mar 2004 10:37
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@ darwin

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Dave J
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Posted: 23rd Mar 2004 10:47
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"Computers are useless they can only give you answers."
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Flashing Blade
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Dave J
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"Computers are useless they can only give you answers."
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