Riddle: You have 10 bags...

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crt1530

Diamond Member
Apr 15, 2001
3,194
0
0
You should really post that all the coins in a given bag are uniform in mass.
 

Triumph

Lifer
Oct 9, 1999
15,031
14
81
Originally posted by: ndee
Solution as some have found:

Weigh one coin from the first bag, two coins from the second bag, three coins from the third bag, etc.
100 times the difference from 55 grams is the bag that weighs 99 grams.

copyright by chuckywang

um, that's more than one weighing.
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
Here's a tough one that took me a few hours to work through. Please don't post spoilers for the people who want to solve it

You have 12 golf balls, 11 of the same weight and one of a deviating weight. You are allowed to use a balance scale 3 times. BUT, you do not know whether the deviating golf ball is heavier or lighter than the rest. Using the scale 3 times, you have to point out the deviating ball AND tell whether its heavier or lighter than the rest.
 

jagec

Lifer
Apr 30, 2004
24,442
6
81
Originally posted by: Triumph
Originally posted by: ndee
Solution as some have found:

Weigh one coin from the first bag, two coins from the second bag, three coins from the third bag, etc.
100 times the difference from 55 grams is the bag that weighs 99 grams.

copyright by chuckywang

um, that's more than one weighing.

No it isn't...you weigh them all at once.
 

Dessert Tears

Golden Member
Feb 27, 2005
1,100
0
76
Originally posted by: ndee
Solution as some have found:

Weigh one coin from the first bag, two coins from the second bag, three coins from the third bag, etc.
100 times the difference from 55 grams is the bag that weighs 99 grams.

copyright by chuckywang
You can use 10 fewer coins.
 

moshquerade

No Lifer
Nov 1, 2001
61,504
12
56
Originally posted by: ndee
You have one scale and 10 bags with 100 coins each. 9 bags weigh 100g (gramms), 1 bag weighs 99g. With only one weighing, you have to find the bag which weighs 99g. How would you do it? Remember, you may use the scale only once. For example, you cannot put the first bag on the scale, read the weight, put the second one on the scale, read the weight, etc.
If you have the solution, please don't post it. If you have questions, just ask :)

BTW: Took me 20 minutes :)
it took you longer than that ndee :thumbsup:

 

GoingUp

Lifer
Jul 31, 2002
16,720
1
71
Originally posted by: silverpig
Here's a tough one that took me a few hours to work through. Please don't post spoilers for the people who want to solve it

You have 12 golf balls, 11 of the same weight and one of a deviating weight. You are allowed to use a balance scale 3 times. BUT, you do not know whether the deviating golf ball is heavier or lighter than the rest. Using the scale 3 times, you have to point out the deviating ball AND tell whether its heavier or lighter than the rest.

Thats so frickin easy.
 

bondboy

Senior member
Apr 2, 2005
877
0
0
Originally posted by: Gobadgrs
Originally posted by: silverpig
Here's a tough one that took me a few hours to work through. Please don't post spoilers for the people who want to solve it

You have 12 golf balls, 11 of the same weight and one of a deviating weight. You are allowed to use a balance scale 3 times. BUT, you do not know whether the deviating golf ball is heavier or lighter than the rest. Using the scale 3 times, you have to point out the deviating ball AND tell whether its heavier or lighter than the rest.

Thats so frickin easy.

Yea this one was actually easier.
 

sniperruff

Lifer
Apr 17, 2002
11,644
2
0
Originally posted by: bondboy
Originally posted by: Gobadgrs
Originally posted by: silverpig
Here's a tough one that took me a few hours to work through. Please don't post spoilers for the people who want to solve it

You have 12 golf balls, 11 of the same weight and one of a deviating weight. You are allowed to use a balance scale 3 times. BUT, you do not know whether the deviating golf ball is heavier or lighter than the rest. Using the scale 3 times, you have to point out the deviating ball AND tell whether its heavier or lighter than the rest.

Thats so frickin easy.

Yea this one was actually easier.

i feel insulted. this is like a 3rd grade problem!
 

MrCodeDude

Lifer
Jun 23, 2001
13,674
1
76
I don't get why you can only use the scale once? I mean, if I have a scale, I'll use it as many damn times as I please.
 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
Originally posted by: sniperruff
Originally posted by: bondboy
Originally posted by: Gobadgrs
Originally posted by: silverpig
Here's a tough one that took me a few hours to work through. Please don't post spoilers for the people who want to solve it

You have 12 golf balls, 11 of the same weight and one of a deviating weight. You are allowed to use a balance scale 3 times. BUT, you do not know whether the deviating golf ball is heavier or lighter than the rest. Using the scale 3 times, you have to point out the deviating ball AND tell whether its heavier or lighter than the rest.

Thats so frickin easy.

Yea this one was actually easier.

i feel insulted. this is like a 3rd grade problem!

I got it....I think it's about the same level as the OP's riddle. So what's your answer?
 

ndee

Lifer
Jul 18, 2000
12,680
1
0
Originally posted by: Triumph
Originally posted by: ndee
Solution as some have found:

Weigh one coin from the first bag, two coins from the second bag, three coins from the third bag, etc.
100 times the difference from 55 grams is the bag that weighs 99 grams.

copyright by chuckywang

um, that's more than one weighing.

ah, it was already late. Ok, here's the real solution:

Take 1 coin from the first bag, 2 coins from the second, 3 coins from the third, etc. Then, put them all together on the scale -> with that difference to 55, you find out which bag weighs 99g.

or yeah, you weigh them all at once, I think that's what chuckywang meant.
 

mjrpes3

Golden Member
Oct 2, 2004
1,876
1
0
It needs to be clarified in the riddle that all the coins in a bag weigh the same.

That threw me off.
 

xSauronx

Lifer
Jul 14, 2000
19,582
4
81
Originally posted by: MrCodeDude
I don't get why you can only use the scale once? I mean, if I have a scale, I'll use it as many damn times as I please.

i agree, i hate silly questions like this that limit you just because....like the 3 kids with a boat. the boat could hold 90lbs, and the kids weighed 30, 60, and 90lbs respectively...

the teacher didnt like it when i told her that the smaller ones would get in the boat, and the larger one would hold on and swim across with them; said it wasnt logical, neither was 2 using the boat and 1 using a bridge.

whats not logical is some asshat parents buying their 3 kids a boat that they cant all use at the same time. i hate parents like that.
 

DingDingDao

Diamond Member
Jun 9, 2004
3,044
0
71
Originally posted by: xSauronx
Originally posted by: MrCodeDude
I don't get why you can only use the scale once? I mean, if I have a scale, I'll use it as many damn times as I please.

i agree, i hate silly questions like this that limit you just because....like the 3 kids with a boat. the boat could hold 90lbs, and the kids weighed 30, 60, and 90lbs respectively...

the teacher didnt like it when i told her that the smaller ones would get in the boat, and the larger one would hold on and swim across with them; said it wasnt logical, neither was 2 using the boat and 1 using a bridge.

whats not logical is some asshat parents buying their 3 kids a boat that they cant all use at the same time. i hate parents like that.

:laugh: Best rant I've seen in a while :beer:
 

nCred

Golden Member
Oct 13, 2003
1,109
114
106
Originally posted by: sniperruff
Originally posted by: bondboy
Originally posted by: Gobadgrs
Originally posted by: silverpig
Here's a tough one that took me a few hours to work through. Please don't post spoilers for the people who want to solve it

You have 12 golf balls, 11 of the same weight and one of a deviating weight. You are allowed to use a balance scale 3 times. BUT, you do not know whether the deviating golf ball is heavier or lighter than the rest. Using the scale 3 times, you have to point out the deviating ball AND tell whether its heavier or lighter than the rest.

Thats so frickin easy.

Yea this one was actually easier.

i feel insulted. this is like a 3rd grade problem!

What´s the answer?
 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
Originally posted by: nCred
Originally posted by: sniperruff
Originally posted by: bondboy
Originally posted by: Gobadgrs
Originally posted by: silverpig
Here's a tough one that took me a few hours to work through. Please don't post spoilers for the people who want to solve it

You have 12 golf balls, 11 of the same weight and one of a deviating weight. You are allowed to use a balance scale 3 times. BUT, you do not know whether the deviating golf ball is heavier or lighter than the rest. Using the scale 3 times, you have to point out the deviating ball AND tell whether its heavier or lighter than the rest.

Thats so frickin easy.

Yea this one was actually easier.

i feel insulted. this is like a 3rd grade problem!

What´s the answer?

Somebody post the answer already! I got it, but I want to see what other people think.
 

Dessert Tears

Golden Member
Feb 27, 2005
1,100
0
76
Originally posted by: chuckywang
Somebody post the answer already! I got it, but I want to see what other people think.
I was able to find something on a physics forum with Google. Think it was "12 red [something] balls". The given mathematician/"systematic" solution (you'll see what I mean when you read it) actually has an error - balls 9 and 12 are indistinguishable.

http://www.physicsforums.com/archive/topic/t-40405_12_red_snooker_balls.html

I think that thread will provide validation - the problem isn't as easy as the early posts would indicate.
 

Chaotic42

Lifer
Jun 15, 2001
35,004
2,168
126
Originally posted by: ndee
Solution as some have found:

Weigh one coin from the first bag, two coins from the second bag, three coins from the third bag, etc.
100 times the difference from 55 grams is the bag that weighs 99 grams.

copyright by chuckywang

Been watching Columbo?
 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
Originally posted by: Chaotic42
Originally posted by: ndee
Solution as some have found:

Weigh one coin from the first bag, two coins from the second bag, three coins from the third bag, etc.
100 times the difference from 55 grams is the bag that weighs 99 grams.

copyright by chuckywang

Been watching Columbo?

Uh...yes. But that show didn't help me solve this riddle.
 

Chaotic42

Lifer
Jun 15, 2001
35,004
2,168
126
Originally posted by: chuckywang
Uh...yes. But that show didn't help me solve this riddle.
I'm just kidding around. There's an episode with this riddle in it.