Glass Transformation

Logic Level 1

The figure shows 3 glasses filled with water and 3 empty glasses (top of figure).

With just your hands, what is the minimum number of glasses you have to pick up in order to make the bottom arrangement?

Note: No sliding of glasses is allowed. You can pour the water from one glass to another.


The answer is 1.

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41 solutions

Dilroop Singh
Mar 3, 2014

Step 1 : Pick the 5th Glass of water and pour the water in 2nd glass.
Step 2 : Keep the glass back and it's done.

You have just moved 1 glass.

I would say 2 glasses, the one you move foward (filled) and the one you take back(empty) so that by my count are two glasses.

Pedro Almagro - 7 years, 2 months ago

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Note that you only touch 1 glass, and pour the water into another.

Calvin Lin Staff - 7 years, 1 month ago

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The problem is incorrectly stated. Move how? what is considered a valid movement?

Manoel Abranches - 5 years, 7 months ago

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@Manoel Abranches I agree. Nowhere in the problem does it expicitly state that you have to pour the water into the glasses

Devanshi Shah - 5 years, 4 months ago

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@Devanshi Shah It also doesn't say you can't pour water into the glass. Remember, this is about using logic and creativity.

Sam Peebles - 4 years, 11 months ago

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@Sam Peebles If water is poured into a glass, that glass would, in a molecular sense, "move", or react. The issue with this word problem is the lack of definition. We could even say all the glasses will be moved, as all molecules are in constant motion. But I'm fine with the answer being one.

Timothy Mcmahon - 4 years, 11 months ago

@Devanshi Shah It is called thinking outside the box. Think of every possible movement you could make without sliding them

Madison Mahana - 4 years, 11 months ago

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@Madison Mahana Ok I will suck the water out from a straw and then spit it in a empty glass. Then the awenser is 0... you can not tell me I am wrong the rules said do not slide. You said think outside the box.. I did... you cant say I have no straw. The question did not mention that I have no tools. If you say I am wrong I can not use a staw then you are wrong by saying you can pour it. Both of these scenarios have the same support in the question, IT DOES NOT MENTION THAT YOU CAN OR CANOT DO IT.

Andre Kleynhans - 4 years, 10 months ago

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@Andre Kleynhans It says "With just your hands, ..." So using your hands to pour the water is valid, but using a straw is not.

James Finlinson - 3 years, 11 months ago

@Manoel Abranches Lifting and pouring is done by moving the glass

Bent. O. Jensen - 5 years, 2 months ago

Well I thought it wasn't allowed to pour the water

Ted Håkansson - 5 years, 2 months ago

Yes I am afraid it was not mentioned that you can pour water from glas to glas. If you can do it without them saying you cant, then I can suck it up with a straw and spit it out in empty glass and do it with 0 touches.

Andre Kleynhans - 4 years, 10 months ago

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@Andre Kleynhans You could do that with your hands only? I’m impressed.

Zoe Codrington - 2 years, 6 months ago

But it’s not clear enough! I can’t tell wether you pick up the empty glass or not, or if you can only pour water into cups next to each-other! I don’t know, it’s poorly stated! 1! (That’s a math pun... I need to stop.)

Dylan Daniel - 2 years, 8 months ago

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@Dylan Daniel Of course it doesn’t say outright(it does in the notes though) that you can pour water! It’s meant to make you think outside the box, not give you the method and the answer with it! It just never says you can not. In these puzzles you should be creative.

Zoe Codrington - 2 years, 6 months ago

Question asks for MINIMUM number of glasses to be moved.

Hobart Pao - 5 years, 9 months ago

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Exactly, the so;solution​ given is very incorrect. I maintain that 3 need to be moved.

Adam Gorny - 5 years, 7 months ago

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@Adam Gorny I believe that the idea behind a logic problem such as this is to encourage the reader to "think outside the box" and find the "clever solution."

If we assume that the water must not change glasses then yes, at the VERY LEAST we must swap Glass #2 and Glass #5, thus moving TWO glasses.

However, it was not expressly stated that the water must remain in its original glass, so we can make no such assumption. Therefore we can safely say that simply pouring the water from Glass #5 into Glass #2 and returning it to its original place will satisfy the outlined conditions.

With this, we can conclude that the MINIMUM number of glasses that must be moved is ONE.

Nate Clegg - 5 years, 7 months ago

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@Nate Clegg But if we really think outside the box, it can be done with no movement whatsoever. Just take a straw...I know it is not in the problem statement, but that is one of the main aspects of "outside-the-box" problems.

Alija Bevrnja - 5 years, 7 months ago

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@Alija Bevrnja With a long straw you could connect #2 and #5, suck until waters pours into #2 and let gravity and airpressure do the rest.

With a short straw, suck water from #5 and spit it in #2.

No glass was moved.

Bent. O. Jensen - 5 years, 7 months ago

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@Bent. O. Jensen It says 'using just your hands' so no straw allowed, sorry

Afonso Carvalho - 5 years, 5 months ago

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@Afonso Carvalho Afonso Carvalho: You are right no straws allowed

Bent. O. Jensen - 5 years, 2 months ago

@Bent. O. Jensen Gravity feed requires the supply hose end be lower than the demand hose end.

Brad Darbyson - 5 years, 4 months ago

@Bent. O. Jensen Siphoning requires one glass to be lower.

Tony Greene - 5 years, 6 months ago

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@Tony Greene So does pouring... Plus you're assuming not even one molecule is left. You cannot assume you can't pour the water, however you cannot assume you can either. You're given the impression that the state of the cup must be full or empty. The logical answer is two. Move is very vague also, do you mean lift or slide. One definition of logic is: reasoning conducted or assessed according to strict principles of validity. That implies a lack of room for creativity. The rules must be clear.

A Former Brilliant Member - 5 years, 6 months ago

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@A Former Brilliant Member To pour is allowed, which implicit allows drops of water to be left in the empty glass.

Bent. O. Jensen - 4 years, 10 months ago

@A Former Brilliant Member If it never says you can’t and it’s this ‘creative’ type of puzzle, then assume you can. If they give you the method, they are basically giving you the answer.

Zoe Codrington - 2 years, 6 months ago

@Tony Greene You are right too, Siphoning would stop when water level is equal

Bent. O. Jensen - 5 years, 2 months ago

@Tony Greene You don't need to let gravity do the work. You can suck it up through a long straw, then release it over the other cup.

Albert Wen - 5 years ago

@Alija Bevrnja but problem clearly states only use of hands

Hassan Bilal - 5 years, 2 months ago

@Nate Clegg The only problem with your statement is that thinking outside of the box is the antithesis of logical thinking. Logical thinking is done based on precise rules and instructions in this problem the instructions were neither precise or clear which is why those constrained to logical thinking find this problem problematic. Thinking outside of the box is lateral thinking, ie choosing to ignore the precisely laid out rules and instructions in favour of a more expedient answer, which is why there is a large discussion forum for this problem

Matthew Bracewell - 5 years, 4 months ago

@Nate Clegg make sense to me now

Roy Lewis Sr. - 5 years, 4 months ago

@Nate Clegg How about I suck the water out and spit in in the empty glas. Zero moves then. The question did not mention that I have no tool to help me. The Question did not say I can not do it! That is thinking outside the box.

Andre Kleynhans - 4 years, 10 months ago

@Nate Clegg Exactly. it is a logical question

Avinash Kamath - 5 years, 7 months ago

@Nate Clegg We have a winner!

Ron G - 5 years, 4 months ago

@Adam Gorny Only 2, move the 2nd and 5th

Evan Huynh - 5 years, 6 months ago

@Adam Gorny By that logic its still only two you just swap the middle empty with middle filled

Tony Greene - 5 years, 6 months ago

That's what I had also

Allison H - 5 years, 3 months ago

But what you can do to touch 1 glass is to take the top 2nd and ( without touching the "bottom" 5th) pour it into the 5th!

mash religion - 3 years, 6 months ago

Bah. Granted that it would likely ruin the problem if this were stated, but it was never stated that it was fair to pour one glass into another. I answered on the assumption that one must move a full glass to place it in another position.

It's very clever, but it's a trick question, and logic ain't about trick questions, folks. This is more suited to a category called "riddles" or something.

John Kievlan - 5 years, 4 months ago

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It WAS stated. Look at it again, they said no sliding but you can pour from one to another.

Oluwadarasimi Ogunshote - 3 years, 3 months ago

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I don't think it was stated at the time he posted. Notes can get added to make a problem clearer to everybody, and now with that note added it is obvious a lot of these old replies no longer make any sense...

Roland van Vliembergen - 2 years, 1 month ago

Notes... They exist... ! Read them...

Dylan Daniel - 2 years, 8 months ago

Or perhaps "sour grapes"? I'm just saying...

Ron G - 5 years, 4 months ago

nobody noticed u can do such a thing and still there will be some small amount of water left in glass u poured from, and glass that have been poured into would have reduced amount of water... to conclude... u would have 4 glasses of water, cuz u cant take every drop of the glass out so solution must be 2... Making a number 1 true answear kinda breaks a point of this task...

Kristian Rücker - 5 years, 5 months ago

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It never states that only 3 glasses contain water in the second picture; just that such was the case in the first.

Tyler Hartman - 5 years, 2 months ago

You will still have a small amount of water left in the original glass that the water was in before.

Tony Greene - 5 years, 6 months ago

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exacly, this task should be removed...

Kristian Rücker - 5 years, 5 months ago

One would would be correct, if one were to automatically assume we can just dump one of the glasses into another. The problem does not specify what exactly you can do with each glass other than pick it up. So at first I figured that you were only supposed to move them linearly along the line moving one glass at a time, which would be 3. If you were to pick them up and just move them to where they go, 2 moves. Since the problem did not specify what all we could do, except pick up the glass, it places limits on what we should be doing. Clarification needs added so as not to impose the limits of just picking up the glass and moving it when we can change one glass from being empty to full and another from full to empty.

cory terhune - 5 years, 6 months ago

This is not fair when the wording is incorrect... :P

Quazi Abdullah - 5 years, 6 months ago

I suggest to move 4 glasses, 2 from left and 2 from right. In this case only 2 glasses will remain but arrangement will be same as in bottom :)

Rafaqat Hussain - 5 years, 4 months ago

If you can pour you can also sip. So get a straw and get a mouthful of water and then spit it into glass number 2. Repeat until done. No glasses moved!

Edward Charles - 5 years, 4 months ago

The question never mentioned we can pour the water. Also, if we pour the water into the glass, then we don't actually 'move' the 5th glass from its original position. Do we? So this answer should be invalid. Or even the question can be invalid since it did not mention the situation carefully.

Lizzy Hanamiya - 5 years, 1 month ago

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Only limits is "no sliding" and "with just your hands"... "pick up". It is nowhere forbidden to pour. It allows anything you can do only using hands and glasses.

Bent. O. Jensen - 5 years, 1 month ago

Um yes it did

Dylan Daniel - 2 years, 8 months ago

It definitely said you can pour the glasses, just no sliding

Artemis Fowl - 1 month ago

How yo answer on the question?

Mikkel Boysen - 2 years, 10 months ago

For myself. I's like thank 5 minute craft for helping me solve this

Tom Mcgurty - 2 years, 5 months ago

Seriously this question is a little bit crap cuz: You only have to move 1 cup in 'minimum' but technically the minimum is 0

Lâm Lê - 1 year, 1 month ago

seriously -_- that was crap, you didn't tell me i could pour the damn water. That's why i put 2 because i thought i would have to switch them, and i only had one chance left since i randomly put in 0 and 4 first :I .

simon maxwell - 5 years, 6 months ago

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If you started by randomly picking answers you can't complain :P I agree the problem isn't fair, but your complaint is, well...

John Kievlan - 5 years, 4 months ago
Richard Loftiss
Nov 11, 2015

The answer would have to be determined by the verb "move". To pick the 5th glass up and pour it into the 2nd glass and then set it back down into the 5th position, you did not "move" the glass... It remained in position 5.

It does say how many do you need to move it says how many you need to pick up. There is a difference

Jalen Barr - 4 years, 11 months ago

You need to recheck your definition of move. What you described sounded like an awful lot of moving to me.

Joel Trauger - 4 years, 7 months ago

what? you already moved it if you picked it up...

Benedikt Werner - 4 years, 11 months ago

This is a bad question - it says no sliding glasses around, which makes you believe you cannot pick a glass up off the table + carry it over to the 5th glass + pour it out + go back + set the empty glass down. Leads you to believe you need to keep the glasses in order and pour a full 1 into an adjacent empty glass + continue... Guess we r doing riddles + not logic

Mark Goewey - 2 years, 7 months ago

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Agreed, this is a very misleading question.

Kath MCC - 2 years, 5 months ago

Take the 5 t h 5^{th} glass, pour contents in 2 n d 2^{nd} glass, place back the 5 t h 5^{th} glass.

Alternatively, take the 5 t h 5^{th} glass, drink contents, place back the 5 t h 5^{th} glass, pour water onto the 2 n d 2^{nd} glass. Yes, this is a joke to break the monotony of solutions.

Dan White
Nov 24, 2015

There needs to be a voting system to take out problematic questions such as this one. The vague wording makes the answer very difficulty to logically deduce. First I said 2, assuming that the water could not be transferred. I then said zero, because if the water can be transferred, why not just use a straw to suck the water out and spit it into the other glass? Unfortunately, by clarifying rules to ensure that 1 is the only valid answer, you would also giveaway the "thinking outside the box" aspect of this question. That makes this question extremely problematic.

it says using only your hands

Simon Gaskell - 4 years, 4 months ago
Jasper Tsai
Oct 30, 2015

The correct answer is 2. How could it be 1? If it's anything like Dilroop Singh said, then just siphon the water however you want it, and let the correct answer be 0, I mean, it's not forbidden by the description to exchange water as well as using any equipment to siphon the water out, right? There is apparently no moderators here. And while the questions have no credibility, you dare to tell people if they're correct and tell them "oh it's okay, only how many percentage of people get this right". So ironic especially in the logic section.

didn't see this before i wrote my answer - but i agree

Robert Brown - 5 years, 6 months ago

it says using only your hands

Simon Gaskell - 4 years, 4 months ago
Michelle Hine
Jun 29, 2016

There is nothing wrong with this question.

It does not say you have to move, only pick up, the glasses. It says you are not allowed to slide. It does not say you cannot pour.....It asks how many you have to pick up.

All you have to do is pick up the 5th glass (2nd from right), pour the contents into the 2nd glass (from left), and put the glass back down in it's original position.....which means you only have to pick up one glass.

Therefore the answer is 1.

Uea they did not say it is allowed so I can suck up the water in a straw and spit it out in the the second glass. Wich means I picked up nothing.... there is nothing wrong by doing that! They did not say it is not allowed!

Andre Kleynhans - 4 years, 10 months ago

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So you have a straw for a hand? Otherwise you aren’t only using your hands.

Zoe Codrington - 2 years, 6 months ago
Mohammad Khaza
Jun 24, 2017

he he ,i got it from adaalat. just pick the 5th glass and pour the water in 2nd glass.just only 1 move.

Answer is1 . Not 3,24,6 . Lowest common multiple cannot seem to work , I think is highest common factor.

Kenn Ng - 2 years, 8 months ago
James Kakoschke
Feb 6, 2016

The question should say instead: "What is the least number of glasses you need to TOUCH in order to get the solution?"

Matthew Madden
Nov 1, 2017

How did people fail this??? Pour cup 5 into cup 2 (counting from left to right)

Maybe not exactly with this puzzle, but one of the main reasons is probably nitpicking. It's actually good to do so, as picking holes in wrong formulation of something is very logical to do. Even I sometimes like to be "too logical" and pick the answer that is "right", but is different from the intended one... which in many cases is actually justified, as people often miss something or phrase it incorrectly. Pointing out and emphasizing such mistakes can actually be very beneficial, but once again, I am generalizing here.

Scarlet Evans - 3 years, 5 months ago
Jessica Sun
Aug 31, 2017

The problem gets simple when they allow you to pour water from one glass to another.

Just take the 5th (second last glass) and pour it into your second glass (which is empty). Put the fifth glass back where it was, and now you have every other glass filled and only touched one cup.

Mxjd Ultimate
Jun 4, 2021

Its so simple. I got this from the aha! book. Just pour the contents from glass 5 into glass 2.

Shamim Ahsan
May 6, 2021

I move only the 5th glass.

Viviana Salcedo
Dec 3, 2020

Use the glass in the middle (filled with water) to pour the water to the second glass.

Saish Thakoor
Dec 2, 2020

Take the second last glass and pour the water in the second glass.Easy

Olena Mukhina
May 19, 2020

i would take the bottom glass and pour the water from it into the middle glass

Kaleb Yong
May 7, 2020

From scenario 1, take the 2nd glass with water and pour the water into the 2nd glass with no water.

Danny Dorito
Apr 11, 2020

just pour glass 5 into glasss 2

Arnab Roy
Mar 24, 2020

Pick up the 5th glass (from left) and pour the water into 2nd one. Then keep it back in its original (5th)position.

Pour the water from the 2nd right glass into the 2nd left one.

Vanessa Kua
Nov 29, 2019

The 5th glass pour to the 2nd one

Pick up 5th glass then pour it into 2nd glass. Thus the answer is 1

Salvatore Gummo
Jul 2, 2019

pick up cup n pour

Talim Agyei
Dec 15, 2018

You pour the middle full glass in the the middle empty glass

Harsh Sanklecha
Dec 5, 2018

the solution is one . answer : pick up 5th glass and pour it into 2nd

Tony Thompson
Jun 30, 2018

These kind of questions aren't why I come to the site, if I wanted questions that are just intentionally misleading and worded vaguely to try and fool people I would go to Facebook. Implement a voting system for questions that are submitted like this so we can avoid these kinds of bar questions.

Dhruv Sharma
Jun 29, 2018

Pick up the 5th glass and pour its water in the 2nd glass and put the glass back. We only have touched 1 glass

Half-god Dragon
May 3, 2018

So easy. Pour the water from the 5th glass unto the 2nd glass.
put the 5th glass back. moved one glass and done.

In my eyes, this answer for this is wrong as this problem is stated and its impossible to do it by these directions without picking up and swapping 2 cups. I think it's cheating to pour it out of one glass to another. It says you can only use your hands to pick up the cups and to pour something is more than just picking it up. I know in the notes it says you can pour but If we are allowed to manipulate the situation however we want like this, then the answer is 0 because you don't have to pick up any glasses to get it in that order. Using only my hands I could pick up a syringe and suck the water out of one cup into another actually never picking up a cup. I could put a string in the fifth cup and open my windows to let the water freeze pulling the water out and moving it to the second spot. There are multiple ways of doing it and still upholding the rules as stated. So no matter what, this answer for this is wrong in my eyes. Questions this vaque are left up to too much interpretation and can never have one absolute answer. When it is left up to a person to use his own imagination to solve a problem, things can get very far off from the intended problem the way the author meant it to be. Even though to give too many hints or notes would ultimately be giving the solution and no problem to solve, there has to be clearer stated set of rules.

watch video

please remove this spam, along with the user altogether, if possible

József Inczefi - 3 years, 8 months ago
Brad Kalla
May 12, 2017

You pour the fifth glass into the second one thus only picking up one glass.

Raghwendra Tiwari
Nov 26, 2016

Pick a second left glass and pour the second left glass

Ankit Ranjan
Oct 2, 2016

Pick up the second last glass of first row.Pour the water in second and keep the glass again.

Alex Wang
Jul 21, 2016

drink the water from the 5th glass, put back the 5th glass, spit out the water into the 2nd glass, and your'e

Rekarlo Jäger
Jan 30, 2016

My first answer is 2, but since I wondered that nobody told me that pouring isn't allowed, I tried 1 next...

Who knew that you could just pour the water to another glass?

Most of us did not know

Andre Kleynhans - 4 years, 10 months ago

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READ the question.

Zoe Codrington - 2 years, 6 months ago
Tauki Tahmid
Nov 30, 2015

2 if you don't want to spill any, 1 if you know how to be careful enough.

Robert Brown
Nov 19, 2015

using the same logic to move 1 glass (IE the water doesnt have to stay in the glass.) you could also move 0 glasses

remove water from 5th glass via vaccuum / straw into container, then pour water from container into 2nd glass

You can't get any less than zero so, I'd have to give this one to you, my friend except the rules state "only using your hands". I think the straw/vacuum combo, however "brilliant", would equate to a DQ.

Ron G - 5 years, 4 months ago
John Finn
Nov 18, 2015

the number of glasses is two. the number of switches is 1. 1 switch = 2 glasses as you cannot switch one glass for itself. You wrote the question wrong.

Geoffrey Alan
Nov 18, 2015

The answer should be 2 not 1 because we exchange position of 1 full glass and 1 empty glass?

Fedor Panafidin
Oct 27, 2015

You have to switch the 5th and the second glass. But you actually move 2 glasses! The right answer is however 1.

Christopher Unrau
Oct 21, 2015

How to solve it is simple. There are three filled and three unfilled. Two are in the same position as the other, so you only need to move 1 glass, and put it back, and you have the same. For similar problems, let x be glasses filled in the correct position, and y be total filled. y-x. It's that simple to solve these kind of questions. Unless I'm wrong, this should work for any amount of glasses with filled cups in this format.

Felix Meha
Oct 20, 2015

I do not agree. This question has two answers

I believe that the idea behind a logic problem such as this is to encourage the reader to "think outside the box" and find the "clever solution."

If we assume that the water must not change glasses then yes, at the VERY LEAST we must swap Glass #2 and Glass #5, thus moving TWO glasses.

However, it was not expressly stated that the water must remain in its original glass, so we can make no such assumption. Therefore we can safely say that simply pouring the water from Glass #5 into Glass #2 and returning it to its original place will satisfy the outlined conditions. We have only physically touched and moved ONE glass.

Thus, we can conclude that the MINIMUM number of glasses that must be moved is ONE.

Nate Clegg - 5 years, 7 months ago

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How about using the straw?

Evan Huynh - 5 years, 6 months ago

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Valid point but violates the "using your hands only" stipulation.

Ron G - 5 years, 4 months ago

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@Ron G Has the question been editted, I don't remember the phrase "using your hands only" when I looked at it?

Ian Turnbull - 5 years, 2 months ago

Are you not assuming it's possible to drain every drop of water from a glass?

A J - 5 years, 5 months ago

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Semantics.

Ron G - 5 years, 4 months ago

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@Ron G Yes - by pouring into one from another - these can neither be totally empty or totally full. Therefore the two glasses need to be interposed.

William Speirs - 3 years, 7 months ago

The original version of the question asks about the number of 'switches' needed. And the correct answer then is one. And this will be true for any two different types of items not only glasses or water.

Zahid Hussain - 1 year, 11 months ago

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