9 bikes
You have 9 bicycles. They all look exactly the same but one is lighter than the rest. You can perform 2 measurements of any kind on the bikes, but only 2. How can you determine which bike is the lightest.
Michael Cook
Michael Cook
Labels: SharedPuzzle
posted by Rajesh Lal at
3:26 AM
24 Comments:
if it's mine, i would know.
FIRST!!!!!
a pretty standard puzzle
divide them into tree groups of 3 bikes each
choose any two groups and put them on a big pan balance
this wil tell us which group has the lighter bike
now we compare the three bikes of the group similarly to find the lighter bike
i'm sure someone would give a more detailed explanation but you get the idea
^ ok
so divide in 3 groups then choose two groups and if one is lighter, than you choose that group. if they are the same, the other left out group will be lighter.
do the same only with the group that was lighter, using one bike instead of 3.
check the color and see which one is the lighter color
First off, to the second & third anonymous:
Good thinking method, but I think that is more than two ways two measure. If I'm wrong, I'm sorry, it's almost midnight here, and I am VERY tired.
Second, here are my thought processes (I know, they're simple, but like I said, I'm tired. ;]):
-Just lift each bike up individually, and all should feel about the same, but one will feel slightly easier to lift, and that bike is the lighter bike.
~OR~
-Check the tires, and (I think) the one that has more air in it will be lighter(?).
i wish everyone a Merry Christmas, and a good night.
:)
:)
~Bre~
ride on it....u'll know!
I still believe no one has come up with the kind of answer they are looking for. Try this:
Take a four-armed balance with equal arms and a pivot in the center. Place one bicycle at the end of each arm. If the whole assembly remains balanced, repeat the process with the next four bicycles. If it STILL remains balanced, then it would be the last remaining bicycle. Otherwise, at any other time, the lighter bicycle would have shown it self by lifting up higher.
look at the price tag. in biking you pay dearly for a few less grams of weight. I would use the measurment of price.
what the hell is a four arm balance
if you can have any number of arms, why not use a eight arm balance and use only one measurement
i still think breakin into three groups is best option
if there were 27 bikes ,3 measurement would be enough using pan balance
but your way we have to use a ten arm balance or some thing
I think I have the right answer:
1) get a balance, place one group of three bikes on one side, and another group of three on the other.
if one side is lower than the other, then that is the group with the lighter bike.
if both are the same, then the third group of bikes (the one not on the balance) is the lighter one.
2) you now have three bikes left. take one bike, put it on one side of the balance, take a second bike, put it on the other side. if one side is lower than the other, you have your lighter bike. if they are both the same, then the lighter bike is the third one thats not on the scales :)
More awake now.
Farah,
Good explanation! i think that you explained to me that the second and third anonymous was/were right.Thanks.
:)
:)
~Bre~
Well, if you mean lighter in color, i guess you could just look at the bikes and pick the lighter color, and if you mean lighter in weight, you just have to get a fat person to ride all the bikes at once and see which one breaks first. oh and btw im not being mean.....i just think fat people should stop eating SERIOUSLY guys its not that hard just dont stuff your face
well... let me just say. i would look at the one withe less parts. that would most likely be lighter. or i would identify my own bike because i wouldnt forget what it would look like.
Why can't you just weigh each bike? That's one measurement type and you would get an absolute answer.
"What the hell is a four arm balance?" Good thing he was anonymous, I'd belittle him for his complete lack of intelligence. Let me break it down for you. A four-arm balance HAS FOUR FREAKIN' ARMS YOU MORON! It looks like a cross. Think for a minute, oh wait, you obviously can't do that. Your writing privileges have hereby been suspended for a complete lack of intelligence. May God be with with you, you insanely stupid little person.
if you break em down in threes all that will do is tell you wich group its in. i like loko nupe answer. thats the right answer
I'm sorry if anyone is hurt by my lack of intelligence but i meant a standard balance that is used is a two arm pan balance and not a four arm contraption(sorry if i was a bit rude)
if we can increase the number of arms why stop at four arms
you would belittle me ?,sure go ahead but first give a well thought out solution to the problem
i have no problems in admitting if someone is smater than me but right now you are just acting smarter
ok i don't think a balance is big enough to hold six bikes unless they're all toy's so the best method is to use a nine arm balance since it can be as big as you want right!?
Kick me baby one more time. Oh wait this isn't MySpace. Bye
Weigh them. That's one measurement tht u do to each bike. This tells you which one is lighter.
I would throw them all into a huge tank of water. If all bikes look the same, that would mean that the lighter bike has a less condensed mass and would therefore stop sinking before all the heavier bikes do.
Why not just pic up each bike till u find the lightest 1
I love the anonymous ppls bickering it's hilarious but the breaking it into 3 groups works i mean this one isn't that hard
you weigh them
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