The Cat In The Hat Puzzle

Can you pass this logic test that stumps many people?
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[@EugeneKhutoryansky]

This one was too easy.

[@s.v.j.thefoxyartist2219]

Yeah I agee

[@knobhack]

Siap bang jago

[@matthewwriter9539]

Agreed. It is hat 2.

[@assassin-qw1zn]

U can't do that I finally solved one question

[@ahasabamirraiyan8031]

Hmmm

[@polyexp]

Literally the question: Exacly one hat contains a cat d: None of them

[@xxx_mouiz_xxx___7969]

very smart u r.

[@name-wl5eh]

I noticed that

[@shadesilverwing0]

Conspiracy theorists will pick d

[@Cowtymsmiesznego]

I actually wished the solution was that there were 5 statements, none of them guaranteed to be true: 1-3. the cat-hat ones 4. Exactly one of the (five) statements is true. 5. Exactly one cat contains a hat. With maybe an additional assumption that there's exactly 1 correct answer between a-e. In that case D could (potentially) be the correct answer. But unfortunately, the riddle was much simpler, and 4&5 were meant to be taken for granted.

[@Gizziiusa]

you failed. why ? you didnt consider that the cat was owned by Schrödinger.

[@aitanacruz9882]

"The cat is not in this hat." *Sounds exactly like what a hat with a cat would say.*

[@zaizhafunjawzaa2983]

Yes

[@photoo848]

Hat is sus. Vote hat.

[@michaeljiang4344]

Yes

[@ashthepokemonmaster2375]

*Everyone asking where is cat, but no one asking how is cat?*

[@stanleymaximillian8403]

Why is cat though?

[@bonegem2989]

I’ll top you “What is cat?”

[@djdragons69420]

Well "Who is cat tho?"

[@dhcarrot1195]

Which is cat?

[@sabogako78]

????

[@MaioParlato]

*me:* feeling proud after finally solving the first problem in this channel, geez I'm getting smarter *everyone in the comments:* this is the dumbest problem this channel has ever seen *me:* cat in tears meme face

[@slash9212]

same

[@paxundpeace9970]

You could consider talking math classes to boost you abilities

[@cantukel]

Same, same 😀

[@TheTutorialDude]

I mean, you're in the 36% of people who can solve this

[@D.KlWA-aG]

@@TheTutorialDude now imagine being in the 64%.

[@ishaanpaul3500]

Once he skips to hat three: ok, we know the answer

[@dhcarrot1195]

So true lmao

[@gargaduk]

Or, we knew beforehand?

[@mikehood6745]

I thought it would have been better to work through hat one and get a contradiction, then hat two and get a valid answer, and THEN to still go on to consider hat three. If hat three had also been viable, many people might have stopped after hat two and given answer B instead of the (what would have been) correct answer of E.

[@Kolokommouna]

I guessed it immediately, then altered some information in the brain tank, then thought it again and remembered my first assumption I tend to do this a lot (think it might be impulsiveness), anybody else?

[@michaeljiang4344]

True me too

[@GameShowFan9001]

This has got to be one of the dead easiest problems on your entire channel

[@asemyamak3984]

I still don’t understand 😂😂

[@hans7409]

I thought that maybe there was another possible answer so that the puzzle would be unsolvable. But no, it was just really easy.

[@maciejkonieczny2033]

Tbh if I got this one wrong I'd be kinda embarrassed of myself

[@santinodemaria2818]

Believe me, there are some which are hell easy

[@JSSTyger]

I don't know what "dead" easy means.

[@AethernaLuxen]

Plot twist: _the survey was sent to grade 1 students_

[@meghnavut]

Lol

[@codewithsmoil4098]

@lux03 Seriously ??

[@AethernaLuxen]

@@codewithsmoil4098 there's only three choices and the win rate is 36%, they legit just guessed it

[@atlas_hcr]

5 choices actually

[@guiltyapollyon8085]

@@atlas_hcr But it says there's exactly one cat so you can exclude 2 of them right away

[@chrismesogitis9310]

If we are talking about Schroedinger's cat, the cat is in all the hats simultaneously

[@GiantKush]

Well, turns out we are not. Schrodinger's cat was different.

[@PlanesAndGames732]

actually it's in all of them at the same time and at the same time in none of them

[@PlanesAndGames732]

@@GiantKush Let's say that it's a different type of Schrodinger's cat

[@jorianweststrate2580]

@@PlanesAndGames732 Nope because you have the information given in the question, so you're sure of the position of the cat

[@krumuvecis]

what if it's the Schrodinger's neighbor's cat?

[@rohitbhatt4566]

Everyone else :dumbest problem....grade 1 problem Me: I know cat is in hat 3

[@vampire_catgirl]

No, it is simultaneously in and not in hat 1, it's Schrodinger's cat

[@turtle553]

I chose hat 3 because that was the only “true” hat that contradicts the answer to be hat 2

[@madii4735]

I picked hat two because if statement three is the one that is true then one is wrong and two is wrong and if two is wrong then the cat is indeed in that hat

[@Mecal21]

You're not alone

[@aysv3224]

When I saw the thumbnail, I immediatly thought that the cat would be in hat 3, because there's no sentence that says "The cat is not in the hat 3"... And then, I saw the entire problem

[@davidmurphy563]

I did it the other way, assuming each statement was correct in turn and looking for a contradiction in the evaluation.

[@kenbrashear210]

I did it that way too.

[@niteshm6]

Same

[@sparshsaxena3519]

Same way

[@speedcubesolver1195]

Same way

[@Schmidtelpunkt]

Same. Plus the confusion when the solution went by cats and got there one try earlier.

[@copperbadge1]

I'm impressed by whoever dared and successfully managed to put a cat in a hat.

[@heloxiii8894]

you can do anything when they fall asleep ...

[@CCG175]

@@heloxiii8894 yea but the hat gotta be big

[@cgamejewels]

The cat likes playing in the hat.

[@MiahooJunk]

"Exactly one hat contains a cat". My answer: d.

[@briant7265]

I took a test online where the order of the answers to each question was randomized. One question went: Question? (a) All of the above (b) ... The correct answer was (a).

[@melkiorwiseman5234]

My answer: Z, but Z is too small to see, so don't try, because you can't. ;)

[@pebble100c]

Our minds naturally want to logically arrive at an overall truth. This problem is unfortunately based on contradiction to truth by asking which condition (cat in hat 2) arrives at a single test being true. It's a tricky question, but useless for computer programming where "none of them" applies.

[@benjioffdsv]

@@pebble100c how is tricky lmao it LITTERALLY took me 3 seconds to find the answer

[@ee-tm1sx]

literally same-

[@ahmadfauzan5141]

plot twist, none of the people surveyed actually think. they just randomly guess. so 36% is logical , since 1/3 is close enough to 36%.

[@antoninjacob2232]

Not if we consider the 5 possible answers.

[@williamhuynh869]

@@antoninjacob2232 people know the Joe Bloggs strategy so the last one is one that basically no one would pick. Plus, d and e are obviously trap answers so ahmad has a point.

[@meltedsnowman9637]

If everyone just randomly guessed, it would be 20% as there were 5 options.

[@chrisc7265]

plot twist, the survey was only given to musk rats

[@JosefZeethuven]

@@antoninjacob2232 that would mean they didnt even read the question if they read the question its 33%

[@leonardo8461]

My ex gf would probably respond something like: there is a cat in each hat, I can see it

[@JDguy11222]

Tiktokers in a nutshell

[@fennelcomeaux9663]

I mean she's not wrong

[@loonyhype9527]

“I don’t know how, but you used the wrong formula and got the right answer” Not the first time for me

[@amirjubran1845]

I love these types of puzzles since they don't require the knowledge of any mathematical equations.

[@zeldaadlez3377]

They also don't require any mental effort. This was probably a question to test for retardation, like the SAT.

[@nickwilson3499]

@@zeldaadlez3377 you must be a very sad, sad person. It was a fun question, no need to try to make yourself feel better by calling everyone else retarded

[@G-Money21]

*s a m e*

[@madhukushwaha4578]

If you want this type of more content, then I will highly recommend you this channel #mathsandphysicsfun .

[@thep6705]

@@zeldaadlez3377 did you not do well on the SAT?

[@40088922]

we get so worried about the information given with the hats that we may not pay enough attention to what the problem actually says anyways, just squeeze the hats slightly to feel for the cat, or see which one is moving

[@brightymcbrightface]

36%? where was this "survey" conducted? Is this just an advertisement to link to brilliant.org?

[@JaakJacobus]

4% of the people thought about it, the other 96% make a guess. 1/3 of 96% guessed right + 4% knew right hence 36% gave a right answer.

[@MarcioSilva-mt3bp]

@@JaakJacobus BriLliAnT kzbin.info/www/bejne/hmexl6trm7lkjJo

[@spiritpuffs2096]

@JaakJacobus There are 5 answer choices

[@brightymcbrightface]

@•• ha! will they be on the 2020 results? I assume Trump "calls" the election at midnight and declares a coup, embattled, stifled and sieged on all sides by … democracy …

[@PvblivsAelivs]

@@brightymcbrightface Judging from all the enthusiasm I am seeing in favor of Trump, I don't think democracy will give him any trouble. But then, in 2016, media personalities were talking about how Trump wouldn't accept the results. And we all know how that turned out. You don't have to worry about Trump thinking the election was rigged. You have to worry about the possibility that half the country thinks the election was rigged. There better not be any anomalies with mysteriously "found" ballots.

[@mohammedmarzuqrahman8605]

My solution: Consider the statement of hat 1 and 3. These statements are opposite to each other. So 1 of them is true and other is false. So we can surely say the statement of hat 2 is false. Which forces that the cat is in hat 2. (Is it correct?)

[@kvsalahuddin5]

Wow..thats good 👌

[@fernandopizarrovillagarcia6992]

I thought it too

[@dr.c5655]

Finally one I could solve. I just saw 1 and 3 contradicted each other so one had to be true and one false. Since only one statement could be true, the 2nd must be false, making the cat be in 2. Then I just double checked

[@boguslawszostak1784]

Exactly. Solution in the movie is "by brutal force".

[@botfeeder]

That was even smarter than the routine way of solving it. I think the problem tried to hide the fact that question 1 and 3 were actually just the same question with opposite answer by putting each question under one of the hats, rather than putting the questions in a list.

[@ameerkherbawi8466]

It's since* not "sense"

[@dr.c5655]

@@ameerkherbawi8466 thx I corrected it. Idk how I messed that up lol

[@ameerkherbawi8466]

@@dr.c5655 It happens lol

[@ShinkuDragon]

Everyone wondering "where is the cat?", but does anyone care to ask "how is the cat?"

[@nevermorethan12]

Why is the cat!!?

[@eclassiskandar8190]

When is the cat?

[@illumnae2198]

What is the cat?

[@casual_ice_consumer4148]

I thought the trick was that Exactly one statement is true and Exactly one hat contains a cat Were also statements that counted towards the problem. I didn't evaluate that, because I wanted to know if that was the case.

[@Cowtymsmiesznego]

Yea, I wished that was the riddle... unfortunately not. Also, no way 36% would solve that if that was the case.

[@mowntainmann2567]

That’s where I went too.

[@FunFreakeyy]

"Exactly one of the statements is true". That's the relevant rule to remember, then it's easy.

[@saiteja2027]

Here is a spin-off puzzle with *TWO* cats: Hat 1: There is a cat in this Hat Hat 2: There is no cat in this Hat Hat 3: There is no cat in Hat 1 Exactly *TWO* of the above statements are true and each hat can only hold a maximum of one cat. Find the hat without the cat.

[@mirekkowalski796]

Hat 2 will be empty then.

[@EvidLekan]

Hat 1 is empty Edit: I get my error

[@LakshaySura]

We will approach the problem in same way. Since first and third statement are contradictory,only one must be true. By this second statement will always be true and hence cat will not be there in box/hat 2.

[@colorsoflife5938]

Hat 🎩 2

[@afelix]

Still hat 2

[@adrianhead6272]

All this shows is the sad state of people in general... it really wasn't difficult and yet nearly two thirds of people fail

[@nowekant93]

There's a pretty fun consideration that can be made: Sentence 1 and sentence 3 can't both be true at the same time, but they can't also be both false, either. So it means that one of them has to be the true sentence, but it also means that sentence 2 needs to be one of the two false sentences, so if we make sentence 2 true, we find out that the cat has to be under hat 2!

[@larspos8264]

Exactly how I did it.

[@ryannoonan5518]

So if we make sentence 2 false** But other than that nice

[@larspos8264]

@@ryannoonan5518 He means, if we negate the statement, such that it will become true.

[@davidbarkin8269]

The only logical answer is that, "We don't have enough information." Feh, to this video!

[@eigilhysvr2292]

Yes, because of option d. which contradics the second information, meaning you can't trust the first information either

[@xwtek3505]

@@eigilhysvr2292 I think that the option d is for "this puzzle is unsolvable"

[@mowntainmann2567]

Agreed. With how things are set up It’s logical to make the lower sentences the 4th and 5th statements.

[@StephJ0seph]

Someone: ... The 2nd Hat: "The cat is NOT in this hat..."

[@kennethfisher7013]

this doesn't forbid a second cat from sneaking into hat 3

[@rickblackledge8948]

No statement is made about hat 3. Since the statements under hats 1 & 3 contradict, and the statement under hat 2 confirms the cat is not in hat 2, why is it not correct to say that the cat is in hat 3?

[@kennethfisher7013]

@@rickblackledge8948 that's not what I'm saying. it says 1 hat 1 cat, but there can be 2 cats in this scenario

[@nilssonerik76]

Kenneth: Exactly ONE hat contains a cat - thus cats in other hats are not possible. Exactly one hat contains A cat - therefore no two-cat hats. Exactly ONE statement is true = only with a single cat in hat 2 is the problem solved. Rick: Because if a cat is present in hat three and there is only one cat-carrying hat, then both the statement under hat 2 and the statement under hat 3 would be true. There is exactly one true statement, exactly one (albeit unspecified) cat, and exactly one cat-containing hat. (Namely hat 2.)

[@nilssonerik76]

@@kennethfisher7013 I guess any number of cats could at some point in the future (from the problem’s point of view) sneak in to any number of hats, but that is outside the scope of the problem since it only deals with the present at the time the problem describes.

[@okotheif5067]

I thought the sentences "Exactly one of the statements is true" and "Exactly one hat contains the cat" were also subject of being either true or false

[@derosi4141]

I know right, i was so disappointed in the end tbh

[@TheMustardMan8]

How to make this puzzle more interesting; same set-up as before, but with an unknown number of true statements - however, you are told that knowing the number of true statements makes this perfectly solvable. Even if it’s the same answer with more steps (0 and 3 true statements are both impossible, 2 makes it unsolvable without more info, so it must be 1 true statement), it’s such a simple twist on the puzzle I’m wondering why it wasn’t included.

[@begineizer]

Maybe I overthought this, but aren't "Exactly one of the statements is true" and "Exactly one hat contains a cat" statements themselves? In which case the answer would be "e) Not enough information"?

[@PrimoStracciatella]

Yes, you overthought it. "Exactly one of the statements is true" and "Exactly one hat contains a cat" are statements, of course. These statements should help you find the right answer. Why would two clear statements mean "not enough information"? Also, these kinds of riddles usually do have an answer, so the "not enough" or "all of them" is supposed to confuse you. :)

[@berylliosis5250]

@@PrimoStracciatella It's overthinking, but it would be NEI under that. "Exactly one is true" would be false in any possible situation where those two are included as statements, so every statement could be either true or false with no way to determine.

[@jondo7680]

No the 2 aren't statements but Informations. So we had enough Informations.

[@tubbysnowman]

I cannot possibly believe that only 36% of people got this right. That is the result you would get if people just randomly guessed the answer to the question. this question is so easy that I seriously doubt that only 1/3 of the participants would get the answer correct. BUT let's assume that only 1/3 of people are able to work out the correct answer, that leaves 2/3 people randomly guessing, of which 11/3 would also get the correct answer. so you should end up with at least 45% of people getting the right answer unless you run this test with some other unspecified regulation, like solve it in 5 seconds, which may get more people guessing because of the time constraint.

[@firesight968]

I solved this in seconds just by trying all three cases in my head. I find it very hard to believe that only 36% of people got this right.

[@11FruitCake11]

People are dumber than you think ;)

[@benjaminlee345]

@@11FruitCake11 or they're people who take the "rules" of the question ("1 cat in 1 hat" & "1 statement is true") as statements as well (like many ppl in the comment section) With this their thought process will proceed as such: If "only 1 statement is true" is true, then all other statements must be false. However, statements 1&3 are contradictory and therefore cannot both be false. Thus, the statement "only 1 statement is true" must be false, we do not know how many of the remaining statements are true. Therefore, there is then not enough information to solve the puzzle, hence "wrongly" answering e) not enough information

[@videakias3000]

Cats become zombies until you remove the hat.

[@theatlantisreport3135]

Sometimes the problems we face are like those cats in those hats

[@huefinnews6694]

Just like looking for my phone under the sofa 😂😂 . What you saying ?

[@freshmoney9030]

@Raymond Albert I partake in that and it's really good , nice pin pointing there

[@goalorious.8038]

So what are really tryna say most people don't know about or what ?

[@goalorious.8038]

Anybody in this millennium in one way or the other has heard of it

[@thinkmedia5705]

That's why you need to relax and let a professional trade for you and you recieve profits just like a king

[@jennielyra3694]

I like your intro - short, to the point and visually pleasing.

[@tanmayjain6837]

It was the easiest problem on your channel...but your all questions are interesting. So a big thanks 😊

[@fliperek4508]

You can also take the "Exactly one hat contains the cat" statement as true, then all the rest is false and the answear is D

[@trnfncb11]

Since statements 1 and 3 exactly contradict one another, one of them must be the true one. So statement 2 must be false.

[@sillysauce55]

What about the possibility of “a” cat as well as “the” cat Really mess up the person solving it

[@ahlpym]

The “None of them” option seems particularly strange to include, considering one of the premises was “Exactly 1 hat contains a cat”

[@Mister_Eiffel]

See, I went a bit differently about it. At the time that the question was asked, there was, in fact, one cat outline on all three hats. While the statements themselves talk about "the" cat, the problem itself doesn't explicitly state that there's only one cat; it only states that there are three hats and three statements. With that in mind, I went with answer A. Since you can see the cat in hat 2, then statement 2 is wrong and since you can see the cat in hat 1, then statement 3 is wrong. Edit: I think what went wrong is instead of answering the question "which hat contains the cat", I tried to see "which statement is accurate"

[@SimonClarkstone]

Next week: This is a question from a 2nd-grade oral exam in Taiwan. The students were given 3 minutes to solve this question. Tihim has a rectangle made of a number of identical square tiles. The rectangle is 2 tiles wide and at least two tiles long. Tihim then splits the tiles into two groups (of at least 2 tiles each) and tries to make those into rectangles, but he finds he cannot make either group on its own into a rectange that's more than 1 tile wide! What lengths could Tihim's original rectange be and what lengths can't it be, given this information?

[@SimonClarkstone]

( My joke being that this is the Goldbach conjecture in disguise. )

[@Grassmpl]

An even number at least 4 or odd number that is 2 more than a prime. Btw you should require the 2 new rectangles to be at least 2 tiles long for this puzzle to work.

[@yashrawat9409]

I see what you did there

[@vijayapriya6400]

I found the Cat in Hat 2 when you skipped from Hat 1 to Hat 3...😂

[@Hasan...]

That was easy. How I did was: First and Third statement were contradicting and one of them Had to be true, which means Middle one had to be False. If the middle one is indeed False (not in this hat), then that's the Hat the cat must be.

[@Anonym-iv3tz]

I used this fact aswell and combined it with the Information "there is only one True senstense" so i tried out True-False-False, skipped False-True-False and checked if False-False-True wich was the correct andere.

[@nextbigthing2917]

I’m overthinking these questions too much when the answer is so simple lol

[@i5m5bob]

Wrongthink. Not overthinking.

[@heloxiii8894]

just remove the damn hats, cat is in none. cat could be under one

[@pkmnhx43_27]

when i saw one of the answers being none of them i started to ever think things and started considering the fact that the fact there is one cat is possibly one of the true or false statements and if that wasnt even off limits whats to say that the fact only 1 is a true is even true

[@ATOM-vv3xu]

Every time a puzzle is to easy I think, there is an amazing trick, that totally changes the awnser

[@TonyStark-kh4eb]

I solved the problem... It means that even a new born kid can solve it Lol on me

[@cllncl]

do you even have experience in communicating with a child over the age of 2?

[@Oscar1618033]

The fact that only 36% gets it really, REALLY concerns me...

[@ashrafhassan6610]

Finally . . . I thought of the right answer 🤩🤩🤩🤩👏👏👏👌😄 Thanks Presh. Love your videos.

[@madhukushwaha4578]

If you want this type of more content, then I will highly recommend you this channel #mathsandphysicsfun .

[@alek11-37]

Here's another way to solve this: We have the following statements: 1. The cat is in hat 1. 2. The cat is not in hat 2. 3. The cat is not in hat 1. Exactly 1 of them is true. Statements 1 and 3 are opposites, so one of them is true. Therefore, statement 2 is false, and the cat is in hat 2.

[@TWFydGlu]

You missed exploring option “None of them” to make sure it isn’t “Not enough information”

[@arvidbaarnhielm6095]

Exactly! Of course, if he had explored that option, the answer would still be Hat 2, but without exploring, this is not a complete answer.

[@think32]

@@arvidbaarnhielm6095 The correct answer automatically rules out the possibility of all contradicting answers. So yes, this is a complete answer :)

[@arvidbaarnhielm6095]

@@think32 Of course it is not. If the option with no cat had also fulfilled the criteria of only one statement being true, then it would have been impossible to conclude which of the two would have been the correct one. Just because one alternative fulfills the criteria dos not mean it is the only one. And if there are multiple, then the correct answer is that there is not enough information. And if one option automatically set another option as not possible, then of course it should be explained and motivated why this is the case.

[@think32]

​@@arvidbaarnhielm6095 Hi. Here's a very simplified example: What is 2 + 2? a. 3 b. 2 c. 4 d. all of the above e. none of the above If we already know that d and e cannot be correct alongside any other answer, then why explore them once we've found the correct answer, which would be C in this case? Another example: when taking a standardized test (ACT, SAT, or any test with multiple choice sections), would you encourage the students to always explore "all of the above" and "none of the above" regardless of whether they had found the correct answer? Even knowing that further exploration would have no impact on the result? I agree completely with "Just because one alternative fulfills the criteria dos not mean it is the only one." I was referring specifically to "contradicting answers," as I mentioned. Sorry if that was not clear. And sorry if I misunderstood your initial point.

[@arvidbaarnhielm6095]

@@think32 Haha, when rewatched the video I saw that it is clearly stated in the problem "exactly one hat contains a cat". This make option d) "None of them" false no matter what. This makes my first reply useless. If you want to, this acknowledgement can be enough to end the discussion with you being right, however, we can still discuss the hypothetical scenario that there might not be any hat with a cat, if you like. In your example, it should be clear to anyone that of course only one answer can be correct. However, I would like to present to you another example: There are three hats and not more than one cat. Exactly one of the statements below is true. Hat 1 has statement "There is a cat in this hat" Hat 2 has statement "There is a cat in Hat 1" Hat 3 has statement "There is no cat in Hat 2" If there is a cat in Hat 1, then both Hat 1, Hat 2 and Hat 3 would be true -> there is no cat in Hat 1 If there is a cat in Hat 2, then both Hat 1, Hat 2 and Hat 3 would be false -> there is no cat in Hat 2 If there is a cat in Hat 3, then both Hat 1 and Hat 2 are false, but Hat 3 is true -> there is a cat in Hat 3 I this example, even though the criteria would be fulfilled if the cat was in Hat 3, we can not say that this is the correct answer without exploring the possibility of there being no cats under any hat: If there is no cat in any hat, then both Hat 1 and Hat 2 are false, but Hat 3 is true -> there is no cat in any hat In this example, we found two options that both fulfills the criteria. It is not possible to find a single option to be true. This gives that the correct answer in this example would be "There is not enough information", even though we found a working set up where there is a cat under one of the hats. While constructing this example, I realised that I had a hard time to formulate the question in a way that the option of there being no cat is not totally obvious, but I'm not sure if that is a problem. Regarding your example on the ACT, SAT or any test with multiple choice questions. I'm not from USA, so I'm not familiar with the set up of those tests, but if it is only to mark the correct choice without argument, then I would say yes, you should always explore all options unless you can motivate for yourself why an option can not be true without exploring it. In the example in the video (excluding the fact that there is a clear statement that there is exactly one cat), the fact that the second option fulfills the condition does not in itself rule out the possibility of there being more options fulfilling the conditions. And if there are more than one, then the correct answer is "there is not enough information". This is important to consider in any test with multiple choices, like the ACT and SAT if they work as I assume, and that there could be questions where more than one condition fulfills the criteria. If that is stated to not be the case, then of course one true answer rules out the rest. But in my experience from doing similar tests, I have never seen a test that has stated that there can only be one option that fulfills the criteria. However, I just read the last lines of your reply again, and I believe I might have misunderstood what you mean by "contradicting answers". Could you elaborate on that one. Perhaps that is simply just the motivation I am asking for above, that if you can show that one option being true contradicts another from having the possibility to be true, then no further exploration is needed for that other option if you can see that the first is in fact true.

[@jormdeworm]

Me: *Wondering how the heck a cat fits in a hat*

[@WhatColourIsYourBugatti_]

These problems are called “Knights and Knaves” but this has to be the easiest one

[@MaxPowerBSD]

Plot twist: the cat is simultaneously alive and dead

[@clarrrrk8691]

Well in real life, you'll know it if the hat moves 🤣

[@jamesallen74]

I git it right but I didn't use your approach. You started with "the cat is in hat 1, let's eval each statement". I did it as "let's assume statement 1 is true, and eval the rest.". It made finding cat in hat 2 easy.

[@jdtreharne]

I love how your channel has problems ranging in difficulty from grade school to PhD in theoretical math.

[@MarcioSilva-mt3bp]

@@SomeRandomGtaDude-zl3us Though some problems i solve easily, others i can´t even understand Presh´s solution!

[@alexseredintsev]

You can also solve it without those three assumptions. Because the 1st and 3rd statement are opposite to each other (both about 1st hat, but have totally opposite results), then in any situation one of them will be true, and the other will be false. Because we need to have only one true statement (which we already nessiserely have in 1 or 3), then the 2nd one must be false to fulfill the condition (only one true). In that case if the 2nd statement lies while telling us that the cat is not there, ten the cat is there!) Such a beautiful solution 😊

[@Myrtilos_Waffle]

I think the reason not many ppl got it is cuz of the option “not enough information.” If that wasn’t there then I think it would be extremely obvious.

[@ee-tm1sx]

yeah true but the ability to look past the contradictions is what makes puzzles like this interesting

[@ScruffR70]

Due to the set of five possible answers - i.e. _d) "None of them"_ as it would be immediately excluded by _"Exactly one hat contains a cat"_ - this could also have been a trick question when you consider that there are not _three_ statements to be evaluated but _five_ . When two extra statements about _truthfulness of only one statement_ and that _there is only one cat_ may also be scrutinised then the answer would be _e) "Not enough information"_

[@erennatsuki4215]

Imagine that the sentence : "Exactly one of the statements is true" is considered as a statement. This problem becomes more interesting.

[@Noonycurt]

When looking at the puzzle I first thought that the statements "Exactly one of the statement is true" and "Exactly one hat contains a cat" might also be false, especially since one of the possible answers was "d) None of them". This made my brain explode until I realized that the two lower statements are meant to be true always, which made the puzzle suddenly very easy and the possible answer "d) None of them" very confusing.

[@wariolandgoldpiramid]

JUST LOOKING AT THUMBNAIL If the cat is in hat 1, then: statement 1 is true, hat 2 is true, hat 3 is false. If the cat is in hat 2, then: hat 1 is false, hat 2 is false, hat 3 is true If the cat is under hat 3, then: hat 1 is false, hat 2 is true, hat 3 is true. REACHED 0:24 Now we know exactly one statement is true. Therefor, cat is in hat 2

[@ryannoonan5518]

You cant do it just looking at the thumbnail lol

[@wariolandgoldpiramid]

@@ryannoonan5518 A lot of problems on this channel can be solved just by thumbnail. Sure, I couldn't fully solve the riddle without the extra info in the video itself, but I was able to determine those facts.

[@bryanfongo327]

@@ryannoonan5518 yes you can

[@thomasfrerk6002]

You could say the third Choice is correct also with all answers being true. As the first statement, "the cat is in this hat" does not refer to a specific hat, so linguistically we don't know which hat it's referencing, thus it could be referencing any of the hats including hat 3.

[@Tejroe]

Statements one and three contradict, meaning at least one of the statements must be true. Therefore, the second statement must be false as only one of the three statements can be true. Since the second statement says that the cat is not under the second hat, then by contradiction it must be hat two.

[@tuxino]

That's actually a nicer method to arrive at the solution than the one used in the video. Sad to say, I also used the brute-force method from the video.

[@7636kei]

Truly an underrated comment.

[@mitchjohnson9149]

this is definitely the better solution.

[@jimbosrandomchannel]

This is the first one I’ve ever gotten right on this channel and I’ve been watching for two years now

[@technodrome]

Plot Twist: The cat's name is Gougu. 😎

[@elfinkenshi6437]

You probabbly chose the longest way to solve the puzzle. It works when there are only 3 hats and 1 cat - not much options - but in more complex systems it would take you lots of time to evaluate all possible combinations.

[@gianlucacolangelo3415]

And if you include “exactly one of the statements is true” and “exactly one hat contains a cat” as possibly true or false statements, I think that the true answer is e

[@frenchfries2424]

Yeah because it could be two or three because nothing proves three wrong

[@Cowtymsmiesznego]

I wished that was the riddle when I saw it mention "statements".

[@AdrianColley]

I'm just glad this isn't another problem about areas of geometrical intersections.

[@helo3827]

prove that 1+1=2

[@SeeTv.]

Just understand Peano Axioms and that's it.

[@brightymcbrightface]

e) "not enough information"

[@nestoreleuteriopaivabendo5415]

Actually Bertrand Russell wrote a proof of this, and is grindy as *

[@qua7771]

If you have two of something then you have one plus another one. If you have one of something and acquire another then you have two. Proof enough for me.

[@nestoreleuteriopaivabendo5415]

@@qua7771 It's basically just that, but, mathematically, you must first define what is the "one", then define the "two", set the two groups of one, let it be clear that they are not the same thing, join them together as the group of two, and there it is.

[@rcb3921]

After 15 years in software development, I am still in awe of how many people don't know what a truth table is -- to say nothing of how it is used to evaluate valid conditions.

[@alfrohn8142]

Dr Seuss: THE CAT IS IN THE HAT

[@autumnbreeze2504]

Personally I was thinking about Dr Seuss "Cat in a Hat".

[@The_Math_Enthusiast]

Took me 10 seconds to figure out. I am an Asian newborn baby.

[@amaseaman]

took me 5 second to figure it out and I am an Asian just conceived baby.

[@The_Math_Enthusiast]

@@amaseaman by brother took 2 seconds and he is an unfertilized egg in Asia

[@amaseaman]

@@The_Math_Enthusiast my sister gets it done in 1 second and if she ever exists her name would be Asia.

[@quasarsphere]

I find that your puzzles fall into two categories: Category 1: I can easily figure out the answer with barely a few seconds' thought Category 2: I can't even understand the question, let alone attempt to figure out the answer. This puzzle is in category 1. :)

[@Yor1908]

Yeah! Thnx presh. I love the logic problems

[@mortdur8182]

A great man once Said... Logic can get you from A to B. But. Imagination can take you everywhere.

[@Sam_2014]

Thank god Im in that 36%😂😂

[@t.m.w.a.s.6809]

I think that what people get tripped up on isn’t a lapse in their logical reasoning, but simply making a mistake in understanding what the information given actually means, as when i tried doing this on my own at first, i was looking at it as if there was exactly one false statement instead of exactly one true statement

[@luisalejandrohernandezmaya254]

"Only 36% can solve it" Me: I'm smarter than average. 😎 Also me: You fool. It was obviously a lie to make you feel smarter than average. ☹️

[@methanebrain7375]

I want more of these problems, but harder. Once you know that the hat isnt in hat 1, you just find out which hat it is knowing statement 3 is the correct one.

[@eheriton]

First from brazil !!!

[@MarcioSilva-mt3bp]

Primeiro a comentar em português!

[@eheriton]

@@MarcioSilva-mt3bp nada mais justo ! Hehhehe

[@joermnyc]

F) the cat has knocked all three hats off the table and is now mad at you for putting them in a hat.

[@saumya7348]

The cat would have died till the problem was solved back then ....easiest way was to check if cat was there or not by removing hat😂😂

[@g.c.i.9051]

Everyone assumes that the statements below are axioms that are not part of the full set of statements. E.g If 3 is true, then the first statement below is false, because the statement about ‘just 1 cat’ is true too, and the statement ‘1 statement is true’ is a statement itself, etc. The whole system is full of contradictions. More people in the comments have noticed this.

[@BlakeMcCringleberry]

For completeness, the case of the cat not being in any of the hats should also be evaluated, because if that turns out to be possible, then there is insufficient information to figure it out. In this case, it works out because you get the sam FTT pattern as "cat is in C", but it is a bit sloppy not to consider the null option just because one of the others seemed correct.

[@weesalikesmilktea4829]

I chose D because I assumed there would be a trick right off the bat and figured "Exactly one of these statements is true" and "Exactly one of these hats contains a cat" were also statements that could be true or false. ==> Every statement is false except Hat B's and C's ==> No hat contains a cat

[@Flocke2000]

Why hat 2 though? Statement 3 doesnt say that it is not in hat 3 and hat 2. The cat can also still be in hat 3 since the thing with "this hat" don't tell you which hat it's meant for. The sentence under hat 1 and 2 don't confirm that it's for 1 and 2. I'm saying that because we already had one quiz question where the sentences didn't belong to the assigned pictures.

[@greebo6549]

Without looking at the answer. ... the cat is in the hat that is moving along the floor

[@SunlessSage]

It also has strange noises coming from it.

[@electronicsguyde]

Actually, there should not be enough information. In the last case, if the third statement is true, we could not know what happens with hat number three. It may have the cat under it, or it may not. So we know that we have a cat under hat number two, but we are only 50% sure about hat number three, so the second requirement of the cat being exactly under one hat is correct in 50% of the cases, in the last scenario.

[@autonomouscollective2599]

If the hats were chosen randomly, there’s a 33 1/3% chance of being right. If only 36% of people got this puzzle right, that’s barely better than random chance. I find that hard to believe.

[@Igorcastrochucre]

I don't know why, but reading other people explaining it, they correlate the hat the cat is in with the verity of its statement, like the cat can't be in the hat that lied, even though that wasn't part of the problem.

[@yusufpintar]

yes now i can solve one of ur entire video without watching the solution first

[@DharmveerSingh-ko3nd]

If you want more hard maths loving questions then I will highly recommend you this channel's latest videos #mathsandphysicsfun .

[@RonSonntag]

Chris is right. At what point did we actually say to "look at where the cat is". It is in all three because nobody looked. Logic is entangled until it is executed!

[@snarkysnake372]

I was too busy wondering why there is a cat under a hat...