Riddlers, we have one more thing to add to the rules! Read this while you pause: the last thing the interrogator says to the chef is: "If you just tell me whether or not the number’s second digit is one, we’ll be done here.” You don’t know whether the chef answers that truthfully, but whatever he says, that makes the interrogator think he knows where the recipe is. Thanks everyone, now back to riddling!
Thank you for pinning that comment. I always watch the 'scenario' once and then try to solve the riddle solely with the aid of rules and hence was a bit dissapointed with the assumption one had to make to solve the riddle. Next time I'll watch the scenario more carefully! Thank you for making so interesting riddles and keeping my brain on the go! :D
But are they done here because he will give up or thinking he has the right number? If the chef answered different on the last question, would the interrogator give up? and that is why they are "done here"
@@wariolandgoldpiramid It's not about 'understanding' the riddle, it's about not needing to assume something in a riddle (the assumption being that the interrogator asks the last question because he has only two options left). As many pointed out, the interrogator could have asked the last question and got 216 whereas the real locker would then be 729.
Isn't a riddle more about a confusing play on words, than on numbers? Of course, if numbers, like music, are considered a language by the viewer, it's all just an algebra of information mediums.
The kidnapper: Is it in between 101 and 342? The chef: "gets on phone" hey justin? justin: yeah? Chef: Call everyone you know i'm being kidnapped over my pizza. justin: wow. ok on it. Chef: "hangs up" alright about your question, no. The kidnapper: pulls a "what in the hecking heck just happened" face.
you can find lists of square and cube numbers online like I did, which means I had to do no calculations whatsoever. The rest is just logic thinking, no math involved except knowing what second digit means lmao
@@chesterlloyddoliente4649 its not that tedious... This one takes no more than 5 minutes if you do the correct reasoning, which is actually the hard part, all the squares and cubes can be googled
Its my first time to answer correctly a riddle in TedEd. I am so proud of myself 🤣😂 I've been trying to solve over 15 past riddles yet so far this is my first time answering it right! I've never been so happy!
Wouldn't one of the rules have to be something like 'The interrogator tries to ask as few questions possible'? I didn't came to the conclusion that the last question was asked sorely because he had 2 options (512 and 1000) left. I mean it makes sense but it's possible that if the chef would have answered 'no' to the last question and there were still many options left, and the next question would've been "Is the number's second digit a 2?". For instance: yes x^2? -> yes x^3? -> no -> leaving us with 16,25,49,81,100,121,144,169,196,225,256,289,324,361,400,441,484 2nd digit a 1? If the chef would have answered with yes, then the answer would be 81 and the interrogator would leave. Then we would apply the 'correct' answers: no x^2? -> no x^3? -> no Conclusion: A whole bunch of numbers are left (785 numbers to be exact - all numbers between 500 and 1300 that are no perfect squares or perfect cubes). But if the chef would have answered no to the 'second digit a one' question, there would still be the options '16,25,49,100,121,144,169,196,225,256,289,324,361,400,441,484' and the interrogator continues to asks question (like 'Is the number double-digit? Ist the square root double digit? Is the second digit a 2?' ect.) I hope you understand what I meant (: Thanks for your riddles. I really enjoy them!
Agreed. Without that assumption the answer is one the numbers between 500 and 1300 that have second digit 1 and are not 512. And no way to know for sure which one. Badly formulated problem.
Exactly my thoughts as well. Only I would have thought "2nd digit" meant the 10er digit, so in my solution the interrogator would have concluded 16 instead of 81, which doesn't change the fact that there are more solutions than the number 64 from the video. Also there is the possibility that the prisoner answered
That is true... but if the interrogator didn't know what the lock box number was then he would have asked more questions. The idea is that whatever the chef said, the interrogator is convinced he knows what the number is. You also have to consider the question's phrasing. He asked "does the second digit have a 1". You don't ask a question that specific unless it identifies your goal. And the only way it can is if there are only 2 numbers left to determine.
Your biggest clue was: The riddle is solvable (because they all are... the good ones at least). With that in mind you should have known you were on the wrong track and look for an alternative solution. I know... only going by the information the video gives us you are absolutly correct but you know more than that. That's all I'm trying to say.
The answer could also had been 729, just because the interrogators have 4 options doesn't mean it's not the correct way, I mean they could have asked if the second number was 1 anyway and their conclusion would be that the number is 216 right? I solved the riddle in paper and I got to the conclusion of 729, but when they said "the interrogators must have been undecided between 2 numbers" I said wait what wasn't it 4 Then I went back to the paper and saw it also worked with the 512 and 1000. I'm so confused rn
They made an assumption that somebody would only ask if the second digit is 1 if they were deciding between 2 options. However I think that it was a reasonable question to ask if they were looking at the 4 options so I think 729 is possible answer.
@@babbycakes173I'm a bit confused, didn't they say "We'll be done here" after answering that question. That implies that no matter what the answer, they'll have a locker number in mind. If there were 4 options, then they would not say "We'll be done here" because depending on the answer they may have more questions to ask. However, this wasn't included in the rules but it would have helped people understand
As I said to Lollipops (sorry I wasn't sure if my reply notified you and I wanted to be sure that you understand why it was assumed there were two options) they also said "We'll be done here" after the question, you can read my explanation to the other person to understand a bit better.
@@doodleproductions7552 Ah you have a point there, though they should have included that in the overview. I used that to work it out and came to the conclusion that there were four possibilities, because they didn't include the 'we'll be done here' part
The interrogator says that the question about the number 1 is the last question and then they are done here. Meaning that was all the information he thought he needed. So there cant be more that 2 numbers since the question can only eliminate 1 number at most.
Not really, because then the interrogator wouldn't have an answer as there would be too many options but the fact that he got one proves this riddle is solvable in some way. Based on the deduction the chef must have answered yes.
If he said no wouldn't he not have enough information? He would think it's not a perfect cube or square and is over 500 and has a 1 as it's second digit which there are plenty of
@@pragatisingh6020 Because when the interrogator asked the chef whether the second digit was a 1 he said they'd be done, which means that he must've narrowed the options down to two possible numbers, and that could only be the case if the chef said that it was a cube
Ted-Ed are slightly incorrect. The interrogator doesn't need to narrow the numbers down to two options for an answer to "Is the number's second digit a 1?" to give him a final number. If he has narrowed it down to several numbers which don't have a 1 as the second digit and one number which does, and he is given the answer "Yes", then he would think he knew where the secret sauce was. For example, if he believed the number was a square below 500, the only square between 13 and 500 with a 1 as the second digit is 81. However, the interrogator says "If you just tell me whether or not the number's second digit is a 1, we'll be done here." This statement is a necessary piece of information which does mean Ted-Ed's deduction is correct, but this statement was not included in the summary or ever referred to.
I think my answer of 729 is also correct, If you assume the answers of the questions are yes, no and yes then by knowing when he is telling the truth you end up with no, yes and yes therefore the only answer is 729
I disagree. If the interrogator had more than 2 numbers to debate and asked that question, the answer to that question will only isolate one value. Which means he still needs to ask more questions if the isolated value is not the answer, it would be a waste of time. If you ever played 20 questions, you know the starting questions are always general ones "is it a mineral, is it an animal". If the first question is "is it a nocturnal predator with 3 toes and hunts at 8:33pm every other tuesday" and the answer is no, then you only eliminated one possible thing. Specific questions like "is the second digit a one" are only used when the narrowed margin of possible answers is few enough that asking the question eliminates all other possibilities which could only occur if there are only 2 options left.
@@ghostderazgriz You're right that if there are more than two values and the interrogator asks that question, he might be wasting his time and only manage to rule out one of many options. However, it is not impossible for him to have several remaining options, ask that question, and have it narrowed down to 1. It would be an unusual strategy for him to take, but we can't assume he acts in a certain way if we want to be certain about the answer.
@@chesterlloyddoliente4649 You're right, there are several possible answers that the interrogator could end up believing if we don't assume he has it narrowed down to two options. I gave one example. Because the interrogator states that the answer he gets will give him a final number, Ted-Ed's answer is the only correct answer. But without that statement, there are several conclusions he could reach and many, many possible locations of the secret sauce.
I love how the riddles are actually challenging. These riddles challenge your mind to think beyond. That’s exactly what I love about these TedEd riddle. Keep making more please.
The summary sheet actually didn't contain all the information needed. A crucial part of the riddle is that the burglar knew that they'd be done after the 4th question regardless of the answer. Based on the information sheet I found 4 scenario's, 2 in which the correct number couldn't be identified, one where it's 729 and one where it's 64. I had to rewatch to see what the original riddle actually said to solve it.
Oh that makes sense. I also forgot about that bit of dialogue about the burglar knowing that question would be the final one. The way I figured it, between 13 and 1300 there are two perfect cubes that have a 1 in their second digit, 216 and 512, and since 216 is below 500, and 512 is above 500, and the burglar thinks he knows weather the number is below or above 500, he would be able deduce it from there. I just gave up and watched the rest, then scrolled down confused about what I had missed and why it was assumed that interrogator had narrowed down the answer to two options.
Solution: Ok so basically, you know nothing, but if [five minutes of assuming later] And now we known for certain what the answer is! Me: [visible confusion]
@@americantoastman7296 It's not though. The assumption that before the last question there were only 2 options remaining is not based on anything. There could have been three or way more options remaining as long as there is only one option that has a one as a second digit or only one option that doesn't have a one as a second digit.
@@SickRedApple Right, what we actually know is that after the fourth question there was only one possibility. We don't know that after the third there are only two. That wasn't based on anything.
@@Enaronia After the first question, we know the interrogators had hundreds of options. After the second, they either still had hundreds (if no to squares) or only 14 (if yes to squares). After the third, the reason we know they had it narrowed to exactly 2 is because they said they only needed one more question and they'd be done. That is what clues us in to the chef answering "yes" to it being over 500, "no" to it being a square and yes to it being a cube, leaving 512 and 1000 as the only non-square cubes left. If it were "no" to being over 500, there are 17 squares and 4 cubes with only 1 overlap. The question about the 1 would either be entirely superfluous or possibly not the last one needed. Unfortunately, the bit about it being the last question they needed wasn't stated in the rules for the riddle on the part where we pause and think about it, so it's easy to forget. Without remembering that part of the story, it's still solvable, but seems more like a lucky break.
Everyone who are thinking that there are multiple solutions just listen to the video again carefully. While asking the last qu the interrogator says " *Now if you will just tell me wheather the second digit is one or not we will be done here* ". This means what ever the answer might be he would have narrowed it down to one number. Hence the conclusion that before that qu he must have narrowed it down to 2 numbers.
@@itsmicahjai Except plankton still sells chum burgers, and is planning on switching to sell his version of Krabby patties. It wouldn't make sense for a well known burger joint that everybody knows makes burgers to come up and say "hey we're making pasta now, all of you who liked our burgers, too bad"
Answering truthfully to the question "is the number a perfect cube", doesnt mean he's saying it is a perfect cube. He could have said no, it's not a perfect cube and still be saying the truth. Or am I getting something wrong here?
Sim mas ele apenas considerou que ele tenha respondido com um "Sim" no caso se não tivessem respostas com o segundo digito 1 então significaria que a resposta dele foi "Não" e ai teriamos que olhar os casos que n são, e se vc for tentar essa possibilidade vc acha varios numeros dentro das opções oq depois disso não faria sentido o interrogador perguntar sobre o segundo digito ser 1 e logo de cara achar a resposta com varias opções ainda
They're assuming it's true in order to test which line of answers leads to 2 possible answers for "Is the second digit 1?". They could have started by assuming it's not a perfect cube, but that only leads to lines of questioning where there is only 0 or 1 possible answers to "Is the second digit 1?"
@@HosamL17 Actually yes, but only if the chef would have answered yes to the "digit question". However you ""know"" the spies arrived at the last question narrowing the solution to 2 numbers.
1156 is the only square number above 500 and 81 the only one below 500 whereas the 2nd digit is 1! So if the spies ask whether the second digit is 1 and he answers with yes they should know either.
@@vaujam8539 moreover, why should we assume by the time the interrogator asks the last question they have already narrowed it down to two numbers. Let's follow the logic Ted goes through. They identify that the chef must have said the number is NOT square, which I agree with. But Ted "deduces" that the chef said the number is higher than 500, as this is the only way it leaves us with two options, 1000, and 512. But why? It is possible the chef said the second digit is 1, then it is totally possible that the chef said the number is smaller than 500 as then the only number which fits all the conditions is 81, thus the interrogators think they know the number. I am highly disappointed with this riddle
It has to be a perfect cube in order to narrow down the options since by the end of the interrogation, the interrogator knew the answer or else he would hv asked more questions. Options:27,64,125,216,343,512,729,1000 However, there's another possible situation: If the chef had said that the number is smaller than 500, not a perfect square, and has 1 as the 2nd digit...the interrogator would have narrowed it down to 216. We don't know whether the 2nd digit has 1 but we do know that it is a square number and greater than 500 since the chef lied. Then, the only number greater than 500 having a perfect square is 729. This is just an alternate answer which was not considered in the video.
I've seen people get 729 but only by ignoring the implication that the interrogator narrowed it down to ONLY two options with the "We'll be done here. (Though some argue that this implication wasn't 100% clear). The interrogator narrowing it down 216 would be from 5 options which wouldn't make sense giving the wording of the problem.
Great video, but you didn't include the most important clue in the pause screen: before asking "is the second digit a 1?", the interrogator says "one more question and we'll be done", which is how you know he's narrowed it down to two numbers.
The last question is worded just fine, I don’t know why everyone’s complaining. He said “if you’ll tell me whether the 2nd digit is a one [or not] we’ll be done here” not “if the 2nd digit is a one, we’ll be done here” The way he worded the question means that no matter what the answer is, they’ll be done here- so they must only have two options left
You have to add in the card thingie (1:56) that the interrogators specifically said that they'd be done after asking that last question. I skipped to 1:56 and got the answer quickly as 729, because I assumed it went like this: Chef says yes to the number being less than 500, chef says no to the number being a perfect square, chef says yes to the number being a perfect cube.... in which case leaves the options 8, 27, 125, 216, 343. As weird as it sounded, I assumed the interrogator was just asking a random question at the end to confirm which of the numbers it was, which I didn't care about since I'm trying to find the real code. I concluded that in reality, the number is more than 500, and is a perfect square and a perfect cube. In which case the only options were 729 and 1000, since 729 was the only option that was a perfect square and a perfect cube I concluded it was that.
I got 729 as well. The issue is the 4th question doesn't actually need to be narrowed to 2 numbers, it could have been narrowed to 27, 125, 216, 343 and if the 4th answer is yes then the interrogators have determined that 216 is the number. So therefore we can't determine that the number is suppose to be below 500 based on this. And the solution if the number is above 500 is 729
How can you tell if the chef is lying in the 1st two questions? 1. He is looking up and down a lot. 2. He is nervously sweating when he is answering the 1st two questions. 3. The terror in his eyes.
There's actually a possibility that if the answer on the last question was yes (wich we don't know but could be) that the interrogator goes to 216 if the answers where yes (less that 500) no (not a square) and yes (a cube) with a yes on the 2nd digit Being a 1 this would make the correct answer 729 (it would be greater that 500 and both a square and a cube wich is the case) this would be avoided if you add that he tells the truth on the last question (since this only can happen if he says "yes" to that question and the second Digit of 729 is not 1 so this scenario becomes impossible) I got stuck for ages trying to find An answer to that i also don't really like the aspect of having to use "I have to be able to solve it so therefore this scenario is impossible" just imagine the answerseries "yes yes no yes" the interrogator would think it is 81 and you wouldn't be able to solve it becouse you have to many options A Parallel thing happens with "no yes no yes" the interrogator thinks it's 1156 and you can't solve it But maybe that's just my opinion
I got the 216 and 729 one too, it just seems this riddle has too many things for the maker to be able to be absolutely sure there are no other true answers
You are mistaken because the interrogator himself is sure, he will be done after the last question even though he does not know the answer yet. Therefore there can only be two options left at that point, which rules out all of your scenarios.
Well, let's imagine the answers were "Yes", Yes", "No", "Yes". Is it less then 500? Yes. So it's 13~499. Is it a square? Yes. So it's one of the squares between 13 and 499. The possible solutions are: 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484. Is it a cube? No. Therefor, we remove 64. However, that still leaves the interogators with 18 possible answers. However, the interogrator is suppose to be garanteed to be able to get the solution, regardless of what Answer 4 is. Therefor, this solution is imposible. Now, let's look at scenario "No", "Yes", "No", "Yes". Is it less than 500? No? Therefor, it's 500~1300. Is it a square? Yes. Therefor, it's one of the following: 529, 576, 625, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296. Is it a cube? No. So, we remove 729. But that still leads us with a lot of numbers. And again. You must have not understood the last clue. The interogrator says: "If you just answer if the second digit is a 1, we'll be done". What this means is, "if you tell me weather the second digit is a 1, then I'll be garanteed to know the answer, regardless of what you tell me". Which is NOT true in this scenario. You see, we aren't actually suppose to analyze what the interogrator will know after question 4. We need to analyze what he knows before question 4 is asked. And make sure that what the interogrator says is true, that he needs an answer to question 4, and that no matter what the answer to question 4, he will be garanteed the answer. Okay. I admit it. After I typed all of this out, I understand what the problem with this riddle is. The math is absolutly correct. It's just that not everyone were able to understand that: 1) The interogator will not ask extra questions if he doesn't need them, hense he needs question 4. 2) The interogator will be garanteed to know the number, regardless of what the Chef answers. I was perfectly able to understand these two things myself. But I can see that it wasn't explained as best as it could have been.
Heres the *actual* questions. 1. *sausage saloon* & *burger bazaar* want a tomato sauce recipe? 🤔 2. Why do they ask questions like "is it a perfect cube" and "is the number less than 500" instead of asking the simplest question of all: "what is the number of the locker with the sauce recipe in it" ✨💀✨
2:08 Uhhhh... no, we do not know that, based on what is said in the video. We only know that AFTER the chef answers, the interrogator doesn't need to ask anymore questions. That doesn't mean that IF the chef had given the opposite answer, he would also be finished asking questions. Frustrating to spend time on this and finally realize I wasn't given the correct and complete set of information.
I had this same problem. I was stuck, so I continued watching the video. Then, as soon as he said that, I paused and found the answer. It seems like a bit of an overlook?
@@ahuman7882 Yea, I think the top (pinned comment) by TED-Ed attempted to clarify that oversight. But if you are like me, watching the video, pausing, and trying to figure it out, you wouldn't have looked at the comments until after you already got the answer, either on your own, or by watching the rest of the video... so the pinned comment doesn't help anyway.
@@cnelsonlv99 Ah, I see. Yeah, I didn't look at the comments right away. At least they clarified that at the very beginning of the answer, though, so people have a chance to pause and try again
Nice puzzle. Although the summary is ill formulated. 7) should be modified to: The interrogator asked “ Tell me if the second digit is a 1 and we’ll be done here”. You don’t know if the chef has answered truthfully. Edit: I hope you take it as a feedback rather than criticism. I am truly appreciate the effort you put into composing these puzzles.
As for whether the second digit is a one, I believe that since the chef isn't looking away, he answers truthfully. However, we don't know whether 512 or 1000 is the number the interrogator thinks is correct. Here are two possibilities. If the chef answered yes to the number's second digit to being a 1, the interrogator would think 512. However, if the chef said no, the interrogator would think 1000. How do I know these two numbers are the interrogator's possibilities? Well, the chef answered no to the first two questions, meaning that 512 and 1000 are both greater than 500, and neither is a perfect square. However, the chef answered yes to the number being a perfect cube, so both numbers are perfect cubes, and each number has a 1 as one of its digits.
I reasoned this way: If the number is between 500 and 1300, the field is large enough and so it's not convenient for the chef to risk lying and get caught. Likewise, if the number is a perfect square, it is convenient to lie and throw them off track, whereas lying by saying "it is" while it isn't just narrows the field for them, meaning they will find a box faster and realize you lied. And, same logic for the "is it a perfect cube?". It wasn't, so the chef told the truth and replied no. I know I am making an assumption by deciding that the chef decided to play it like that, but I feel it's a gamble worth taking. Perfect squares between 1-500: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441 Minus 64 which is a perfect cube So that leaves me with 20 boxes I need to check. Can I check them all in time? I decide to start from 121, because reasons, and move my way forward from there
The only issue with this riddle is that we had no way of knowing that the interrogator has narrowed the list down to two numbers when he asked if the number had a 1 in the second digit. He could’ve been trying to eliminate a single number from the list, it’s a possibility. That’s the only reason why I couldn’t solve the riddle.
I have several issues with this problem: 1. The expression "second digit" can be ambiguous to some readers. One could understand it meaning "second digit from the right" or "second digit from the left". 2. If I follow the answers as the investigator gets them, I get several possibilities: (1st question-2nd question-3rd question-4th question) A) Yes-Yes-No-Yes: A perfect square less than 500 which is not a perfect cube with "1" as the second digit is 16 (or 81 if I mean "second digit from the left"). The spy would be unable to conclude the solution in this case as there are too many possibilities to choose from. B) Yes-No-Yes-Yes: A perfect cube less than 500 which is not a perfect square with "1" as second digit is 216. Inverting the first two answers as lies, one would end up with the number 729. C) No-Yes-No-Yes: A number > 500 which is a perfect square but not a perfect cube. If one reads it as "second digit from the left" one'd get the unique number 1156. Inverting the first two answers as lies, one would be unable to conclude the solution in this case. D) No-No-Yes-Yes: A number bigger than 500, not a perfect square but a perfect cube. From the 3 possibilities here (not two!) only 512 has "1" as its second digit. Inverting the first two answers as lies yields the number 64, which is the solution presented in the video. In summary, if the spy can narrow it down to a solution at all, he gets the two possibilities 64 & 729. The solution presented in the video uses the clues not in the order the investigator gets them and in scenario D) he would end up with three and not two possible numbers (512, 729, 1000) before he asks about wether the second digit is a "1". Even with the added rule the problem persists, because the investigator has three numbers to choose from and not two!
On the fourth question, the interrogator said that they'd be done after that, as in they'd be done whatever the chef's answer was, so he must have only had two options left at that point, and the only possible combination of answers to the first three questions that could've led to that is No-No-Yes And 'second digit' does generally mean second from the left
That would be too much to work with. That would leave them with 1280 options to check. In this case, it would be easier to assume the answer to the perfect cube question is yes. If that didn’t work, then we can check the 1280 options left between 13 and 1300.
I know I'm late, but I need help. I'm confused because when the interrogator says "Is the number less than 500?" and the chef lies, you still can't really tell. Let me explain. Ted-Ed says that the number is less than 500 because of the chef's answer, but you still really can't tell if it really is less than 500. Imagine that you don't know the number. The chef lies when he's asked if it's less than 500. It could really be higher than 500 because the chef might've answered "Yes". You can tell it's a lie but still can't tell whether it's above 500 or below. What I'm saying is that if the number is greater than 500, and the chef answered "Yes" then it's still a lie and the number is greater than 500 but Ted-Ed says it's below 500.
The fact that it is less than 500 was figured out using the other conditions. 512 and 1000 are two possibilities the interrogator can be left with, provided that he has been told that the number is greater than 500. This means that the chef lied and said,"Yes" to the first question. This "Yes" has to be a lie to prompt the interrogator to ask that is the second digit one or not. Thats how the number is less than 500. Hope you understand.
You should also include that the interrogator try to ask the question with least number possible because in the video the last question maybe ask randomly (about 1 at the 2rd digit) and the chef eventually answer yes then it wouldn’t be clear whether the answer is 64 or 729.
For example if the chef answer no the interrogator will ask if the 2nd digit 7. if no again 2,4 and they will eventually get the number but with much more number of questions .
I know im bad at explaining things but put simply chef‘s answers could be like 1st case 1)yes 2)no 3)yes 4)yes Interrogator gets 216 2nd case 1)no 2)no 3)yes 4)yes Interrogator gets 512 As you can see both cases can occur. Hopefully this is clear now😅
That's the same thing I thought! I kept going back and forth the video to see if I got anything wrong but they clearly say that he lies but we don't know the answer, so it could be both yes and no. Fuuuuuu!
*then - it's bad enough seeing people CONSTANTLY getting it wrong the other way round! And you deduced the chef's answers from the fact that the interrogator must've narrowed the options down to two numbers with one having a 1 as the second digit, which is why he said they'd be done there after that question
What if the answer to "is it greater than 500" was no. It would also make the kidnappers think 216. Again, in that case, we will still be stuck with either 64 or 729. We still do not know which one it would be. I believe that there is no unique solution to the riddle.
If the chef said the number was less than 500, the interrogator wouldn't have known they'd end it with the last question. The interrogator knowing that was not listed in the rules, but was mentioned earlier, so there is all the necessary information.
My solution to this riddle: Step 1: Knock out the guard and kidnap the chef. Step 2: Threaten the chef until he spills his guts. Step 3: Get the recipe.
It is a fallacy to assume that there are only two options by the last question (one with a '1' as the second digit and one without). For example, if the remaining numbers are 27, 64, 125, 216, and 343, and the chef answers "yes, the 2nd digit is a 1", the thieves think that it will be 216. So I do not think that there is a unique solution to this riddle.
When the sausage saloon is like "sometimes that's how the sausage is made", wants the spy to be in the room where it happens, and then pays in $10 bills
Riddlers, we have one more thing to add to the rules! Read this while you pause: the last thing the interrogator says to the chef is: "If you just tell me whether or not the number’s second digit is one, we’ll be done here.” You don’t know whether the chef answers that truthfully, but whatever he says, that makes the interrogator think he knows where the recipe is.
Thanks everyone, now back to riddling!
Thank you for pinning that comment. I always watch the 'scenario' once and then try to solve the riddle solely with the aid of rules and hence was a bit dissapointed with the assumption one had to make to solve the riddle. Next time I'll watch the scenario more carefully!
Thank you for making so interesting riddles and keeping my brain on the go! :D
But are they done here because he will give up or thinking he has the right number? If the chef answered different on the last question, would the interrogator give up? and that is why they are "done here"
Hey ted ed can you do why you should read anna karenina its a classic
Why are this nessesary to comment? I was able to understand everything just from the story animation.
@@wariolandgoldpiramid It's not about 'understanding' the riddle, it's about not needing to assume something in a riddle (the assumption being that the interrogator asks the last question because he has only two options left). As many pointed out, the interrogator could have asked the last question and got 216 whereas the real locker would then be 729.
When the guy said "is it below 500?"
I knew this riddle is out of my league
lol same!
When the started talking about perfect square and cubes I knew I was out of my league
When I read that it was from Ted-Ed it was out of my league
When I was born i knew this wag out of my league
When the narrator explained the answer I knew I have 1 brain cell left
Can we just appreciate the creativity in animation.
The dedication to their craft is impeccable.
@@randomdude9135 haha true, instantly comment on any TedEd video *"GrEaT aNiMaTiOn!!"* and you're bound to get lots of likes. No need to watch it...
Sebastian Elytron those comment are still better than “I don’t like math riddle” kind of comment
Isn't a riddle more about a confusing play on words, than on numbers?
Of course, if numbers, like music, are considered a language by the viewer, it's all just an algebra of information mediums.
“Is the number a perfect cube?”
“I don’t know! I’m a chef!”
Lol
Lol yes. But at least the number is 64, the smallest number besides 0 to be both a square and a cube.
@@disappointment8094 and Minecraft inventory
@@disappointment8094 Also 1
The kidnapper: Is it in between 101 and 342? The chef: "gets on phone" hey justin? justin: yeah? Chef: Call everyone you know i'm being kidnapped over my pizza. justin: wow. ok on it. Chef: "hangs up" alright about your question, no. The kidnapper: pulls a "what in the hecking heck just happened" face.
The real question is, why did "burger" bazaar and "sausage" saloon want the recipe to a pasta sauce?
LOL
To put on their burgers and sausages, obviously.
Devdatta Joshi, TOMATO SAUCE.. It’s good on burgers, and can be optional to sausages!
because empire
Top 10 questions science STILL cant answer!
The real riddle is how did the Sausage Saloon convince a highly talented spy to do a job for $90.
They make her an offer she can't refuse
She doesn't look happy about it.
Corporate espionage is not an easy game, but sometimes, that’s just how the sausage is made.
no the real riddle is WHO IS TED?
@@souljaboytellemakayoungdra4497 and why is he always talking?
"is the number a perfect cube"
"ozo"
ulu
YOUR FROM THAT VIDEO TOO?
Just passing through finding the green eyes comment
On the second day the chef will realise that he is the one with green eyes
uluozo
What kind of interrogator is this? Who asks these type of questions?!
Joe King well, they do come from a burger place
Ikr bruh
They wanted to be the star of a TED-Ed video.
They thought they were playing an educational game
Joe, you have the best profile picture.
If an interrogator asks questions like “is its second digit a 1”, they deserve to get the wrong answer
Dude just ask the number
@@alex2005z He can easily lie about that
@@sumaiyasaleque ...
😂😂😂
@@sumaiyasaleque he can lie about anything. But he wont with a gun pointed at his face
0:24
me going up the stairs
Oh, you too?
lmao good joke
Lol same here
Lol yep
Lol same
Why dosent the interrogator just ask “what’s the number”
Give us the numbers Mason
art thou feeling it now mr krabs he doesn’t know that. If he did, he wouldn’t even ask in the first place
@@cian9393 yeah, thankfully they avoided that
*THE NUMBERS, MASON. WHAT DO THEY MEAN?*
Yeah 😂
imagine stealing the recipe to a best-selling sauce and your boss give you 90 bucks
Put it back and cause you never told where it was they will have to hire a new person
The mystery of the box number was solved in under 5 minutes. I think 90 bucks was a decent amount of money for 5 minutes work.
can we get an f in the chat for the spy
[F]
@@Jay-ate-a-bug The experience costs a bit more than that
Step 1: Confirm you have green eyes
Step 2: Kindly ask for the secret sauce
Hah, green eyes riddle.
Wrong riddle.
Also unoriginal joke.
UNORIGINAL
@@aarushkalra2892 i kinda liked it
@@khodibritton8368,
R/wOOOOsh
I challenge you to do the “make a riddle that isn’t an elaborate math problem challenge”
It seems there are only so many riddles that are genuine lateral thinking problems. Now all we get is algebra and stuff.
you can find lists of square and cube numbers online like I did, which means I had to do no calculations whatsoever. The rest is just logic thinking, no math involved except knowing what second digit means lmao
Everything is an elaborate math problem.
This is why math is so useful.
@@Terr590 *except philosophy questions
@@chesterlloyddoliente4649 its not that tedious... This one takes no more than 5 minutes if you do the correct reasoning, which is actually the hard part, all the squares and cubes can be googled
"The secret ingredient of my secret ingredient soup is.... Nothing!"
"Nothing?"
"Yes nothing"
Where did I hear/see this?..
@LI ZHICHENG - right!
kung fu panda!
LI ZHICHENG - the best movie ever made
@@acebalistic1358 I won't argue against it being awesome, but...
The Incredibles: Am I a joke to you?
Can we just take a moment to talk about the fact that the restaurants in this universe are serious enough to hire professional spies.
TedEd: can you solve....
Me: no, but I will see how you will solve it.
Exactly!
Yuuup
Yeap... see how TED solve it but still can not understand 😅
I rarely ever try to solve these.
She can perfectly tell if someone is lying or not but she CANNOT read lips.
That goes against protocol.
A and R have the same mouth motion.
That alone makes it near impossible to discern it
There are other ways to tell if some one is lying. Like body movement or reaction
Ceres R & A hrve the srme mouth motion. Thrt rlone crn mrke it impossible to discean.
I see what you mean...
Ceres -he only has to lip read yes and no, and both of those don’t ave an ‘a’ or a ‘r’
LuckyStarLuna nice
Me : **A spy who can infiltrate, safe crack and read faces for signs of deception**
Also me : *does math at a random rooftop*
She can't even read lips!
Fr-
Its my first time to answer correctly a riddle in TedEd. I am so proud of myself 🤣😂 I've been trying to solve over 15 past riddles yet so far this is my first time answering it right! I've never been so happy!
Congratulations Odyson Santos! All that practice paid off!
I can tell that this is a lie
@@Medicine91 I can tell you are a true genius, even if you're wrong.
Hahahah Same
Erm, good for you!
Ted-Ed: Can you solve this riddle?
Me: Nah.
I was like: paaaaass
That's the most non-innovative way of gaining likes :(
Reverse uno
*Math problem
Plot twist: Plankton stole the secret formula while they were interrogating the chef.
Oof.
Plot twist: The police killed everybody
U are plankton
The spy is Plankton xD
Pot plot twist:The chef is actually spongebob and he captures plankton
Wouldn't one of the rules have to be something like 'The interrogator tries to ask as few questions possible'? I didn't came to the conclusion that the last question was asked sorely because he had 2 options (512 and 1000) left. I mean it makes sense but it's possible that if the chef would have answered 'no' to the last question and there were still many options left, and the next question would've been "Is the number's second digit a 2?".
For instance:
yes
x^2? -> yes
x^3? -> no
-> leaving us with 16,25,49,81,100,121,144,169,196,225,256,289,324,361,400,441,484
2nd digit a 1? If the chef would have answered with yes, then the answer would be 81 and the interrogator would leave.
Then we would apply the 'correct' answers:
no
x^2? -> no
x^3? -> no
Conclusion: A whole bunch of numbers are left (785 numbers to be exact - all numbers between 500 and 1300 that are no perfect squares or perfect cubes).
But if the chef would have answered no to the 'second digit a one' question, there would still be the options '16,25,49,100,121,144,169,196,225,256,289,324,361,400,441,484' and the interrogator continues to asks question (like 'Is the number double-digit? Ist the square root double digit? Is the second digit a 2?' ect.)
I hope you understand what I meant (:
Thanks for your riddles. I really enjoy them!
It's a bit annoying because without the assumption, the riddle is unsolvable.
Agreed. Without that assumption the answer is one the numbers between 500 and 1300 that have second digit 1 and are not 512. And no way to know for sure which one. Badly formulated problem.
Exactly my thoughts as well. Only I would have thought "2nd digit" meant the 10er digit, so in my solution the interrogator would have concluded 16 instead of 81, which doesn't change the fact that there are more solutions than the number 64 from the video.
Also there is the possibility that the prisoner answered
That is true... but if the interrogator didn't know what the lock box number was then he would have asked more questions. The idea is that whatever the chef said, the interrogator is convinced he knows what the number is. You also have to consider the question's phrasing. He asked "does the second digit have a 1". You don't ask a question that specific unless it identifies your goal. And the only way it can is if there are only 2 numbers left to determine.
Your biggest clue was: The riddle is solvable (because they all are... the good ones at least).
With that in mind you should have known you were on the wrong track and look for an alternative solution.
I know... only going by the information the video gives us you are absolutly correct but you know more than that. That's all I'm trying to say.
The answer could also had been 729, just because the interrogators have 4 options doesn't mean it's not the correct way, I mean they could have asked if the second number was 1 anyway and their conclusion would be that the number is 216 right?
I solved the riddle in paper and I got to the conclusion of 729, but when they said "the interrogators must have been undecided between 2 numbers" I said wait what wasn't it 4
Then I went back to the paper and saw it also worked with the 512 and 1000. I'm so confused rn
They made an assumption that somebody would only ask if the second digit is 1 if they were deciding between 2 options. However I think that it was a reasonable question to ask if they were looking at the 4 options so I think 729 is possible answer.
@@babbycakes173I'm a bit confused, didn't they say "We'll be done here" after answering that question. That implies that no matter what the answer, they'll have a locker number in mind. If there were 4 options, then they would not say "We'll be done here" because depending on the answer they may have more questions to ask. However, this wasn't included in the rules but it would have helped people understand
As I said to Lollipops (sorry I wasn't sure if my reply notified you and I wanted to be sure that you understand why it was assumed there were two options) they also said "We'll be done here" after the question, you can read my explanation to the other person to understand a bit better.
@@doodleproductions7552 Ah you have a point there, though they should have included that in the overview. I used that to work it out and came to the conclusion that there were four possibilities, because they didn't include the 'we'll be done here' part
The interrogator says that the question about the number 1 is the last question and then they are done here. Meaning that was all the information he thought he needed. So there cant be more that 2 numbers since the question can only eliminate 1 number at most.
RAVIOLI, RAVIOLI
GIVE ME THE FORMUOLI
Sorry, I just had to.
Shivani S og spongebob fan
No no, that was good
Thank you
Spagetti confetti
santa maria!
My question: How can you not be able to lip read 'yes' or 'no'?
He doesn't need to be saying Yes or No, he could answer "The number is below 500"
Or he could be speaking a different language.
More like how can you tell with certainty if someone under intergation is indeed lying or not, but you didnt record him to be sure?
Learn it
This whole riddle falls if he answered "No" to the perfect cube, since he could technically not be lying
Not really, because then the interrogator wouldn't have an answer as there would be too many options but the fact that he got one proves this riddle is solvable in some way. Based on the deduction the chef must have answered yes.
Exactly what I thought. Why haven't we considered the chef truthfully saying no to the third question? This riddle seems faulty.
If he said no wouldn't he not have enough information? He would think it's not a perfect cube or square and is over 500 and has a 1 as it's second digit which there are plenty of
@@starmic1852 Logic.
@@pragatisingh6020 Because when the interrogator asked the chef whether the second digit was a 1 he said they'd be done, which means that he must've narrowed the options down to two possible numbers, and that could only be the case if the chef said that it was a cube
Ted-Ed are slightly incorrect. The interrogator doesn't need to narrow the numbers down to two options for an answer to "Is the number's second digit a 1?" to give him a final number. If he has narrowed it down to several numbers which don't have a 1 as the second digit and one number which does, and he is given the answer "Yes", then he would think he knew where the secret sauce was. For example, if he believed the number was a square below 500, the only square between 13 and 500 with a 1 as the second digit is 81.
However, the interrogator says "If you just tell me whether or not the number's second digit is a 1, we'll be done here." This statement is a necessary piece of information which does mean Ted-Ed's deduction is correct, but this statement was not included in the summary or ever referred to.
I think my answer of 729 is also correct,
If you assume the answers of the questions are yes, no and yes then by knowing when he is telling the truth you end up with no, yes and yes therefore the only answer is 729
I disagree. If the interrogator had more than 2 numbers to debate and asked that question, the answer to that question will only isolate one value. Which means he still needs to ask more questions if the isolated value is not the answer, it would be a waste of time.
If you ever played 20 questions, you know the starting questions are always general ones "is it a mineral, is it an animal". If the first question is "is it a nocturnal predator with 3 toes and hunts at 8:33pm every other tuesday" and the answer is no, then you only eliminated one possible thing. Specific questions like "is the second digit a one" are only used when the narrowed margin of possible answers is few enough that asking the question eliminates all other possibilities which could only occur if there are only 2 options left.
@@ghostderazgriz You're right that if there are more than two values and the interrogator asks that question, he might be wasting his time and only manage to rule out one of many options. However, it is not impossible for him to have several remaining options, ask that question, and have it narrowed down to 1. It would be an unusual strategy for him to take, but we can't assume he acts in a certain way if we want to be certain about the answer.
@@chesterlloyddoliente4649 You're right, there are several possible answers that the interrogator could end up believing if we don't assume he has it narrowed down to two options. I gave one example. Because the interrogator states that the answer he gets will give him a final number, Ted-Ed's answer is the only correct answer. But without that statement, there are several conclusions he could reach and many, many possible locations of the secret sauce.
@@ll-xy7gj but last question was yes also leaving 216 which he thinks is the answer
I love how the riddles are actually challenging. These riddles challenge your mind to think beyond. That’s exactly what I love about these TedEd riddle. Keep making more please.
4:19
Can some one turn on the AC?
Like the man is actually melting.
Yes please he’s gonna die!
Save him
Q: Wat did the Pasta Palace man say when he got kidnapped?
A: sos
hahahahahaha I actually lolled
I wonder what's for dinner
Lol
NOICE
XD
Ted : can u solve the secret sauce riddle riddle
*mean while*
Gordon Ramsey : WHERE'S THE LAMB SAUCE
The summary sheet actually didn't contain all the information needed. A crucial part of the riddle is that the burglar knew that they'd be done after the 4th question regardless of the answer. Based on the information sheet I found 4 scenario's, 2 in which the correct number couldn't be identified, one where it's 729 and one where it's 64. I had to rewatch to see what the original riddle actually said to solve it.
Came here to say the same. There's no guarantee that the last question unambiguously identifies locker
“We’ll be done here”
“After the last question, the interrogator knows the answer”
@@fos1451 ”The summary sheet actually didn’t contain all the information needed”
Oh that makes sense. I also forgot about that bit of dialogue about the burglar knowing that question would be the final one. The way I figured it, between 13 and 1300 there are two perfect cubes that have a 1 in their second digit, 216 and 512, and since 216 is below 500, and 512 is above 500, and the burglar thinks he knows weather the number is below or above 500, he would be able deduce it from there. I just gave up and watched the rest, then scrolled down confused about what I had missed and why it was assumed that interrogator had narrowed down the answer to two options.
Solution: Ok so basically, you know nothing, but if
[five minutes of assuming later]
And now we known for certain what the answer is!
Me: [visible confusion]
So accurate
It was extremely logical but also super tough and counterintuitive
@@americantoastman7296 It's not though. The assumption that before the last question there were only 2 options remaining is not based on anything. There could have been three or way more options remaining as long as there is only one option that has a one as a second digit or only one option that doesn't have a one as a second digit.
@@SickRedApple Right, what we actually know is that after the fourth question there was only one possibility. We don't know that after the third there are only two. That wasn't based on anything.
@@Enaronia After the first question, we know the interrogators had hundreds of options. After the second, they either still had hundreds (if no to squares) or only 14 (if yes to squares). After the third, the reason we know they had it narrowed to exactly 2 is because they said they only needed one more question and they'd be done. That is what clues us in to the chef answering "yes" to it being over 500, "no" to it being a square and yes to it being a cube, leaving 512 and 1000 as the only non-square cubes left.
If it were "no" to being over 500, there are 17 squares and 4 cubes with only 1 overlap. The question about the 1 would either be entirely superfluous or possibly not the last one needed.
Unfortunately, the bit about it being the last question they needed wasn't stated in the rules for the riddle on the part where we pause and think about it, so it's easy to forget. Without remembering that part of the story, it's still solvable, but seems more like a lucky break.
I love these scenarios where you play as different characters
Yes! This one was really fun!
1:31 Love the Motions the Interrogator Makes.
Almost like he blocked on purpose lol
@@aurorawizard7045 Nah, I think he Stood Up because he was Excited about getting the “Answer”.
I like these riddles,you should make them every week!😃
Thanks for the likes!😄
Everyone who are thinking that there are multiple solutions just listen to the video again carefully.
While asking the last qu the interrogator says " *Now if you will just tell me wheather the second digit is one or not we will be done here* ". This means what ever the answer might be he would have narrowed it down to one number. Hence the conclusion that before that qu he must have narrowed it down to 2 numbers.
You're right. I missed that and thought there could be more than 2 final numbers. Nice catch!
thanx for this. I was getting (216,729) as one the pairs.
"Where are you keeping the secret sauce?"
"totally 124"
"We're done here"
I just wanna know what kind of criminal asks such vague questions
The Riddler
Spiritone Who’s Joe?
ruclips.net/video/EfvnF7q8Av4/видео.html&t=168
Ted ed,
I truly love how you make complex riddles look simple and fun.😁
Keep it up!👍🏻
This is the first time in a very long time that I have been able to solve one of these riddles. The amount of joy I am feeling is intense.
Why would a burger joint and a sausage place want a pasta places secret recipe?
Secret sauce recipe, dude. That can be used in burgers and hotdogs.
the same reason why plankton wants a burger formula when he’s selling something totally different
@@itsmicahjai Except plankton still sells chum burgers, and is planning on switching to sell his version of Krabby patties. It wouldn't make sense for a well known burger joint that everybody knows makes burgers to come up and say "hey we're making pasta now, all of you who liked our burgers, too bad"
Jaffa Cakes it was a joke fam
@@itsmicahjai Corporate espionage is no joke, Micah
"Pasta palace" thats the most italian thing ive ever heard
Ozo
Answering truthfully to the question "is the number a perfect cube", doesnt mean he's saying it is a perfect cube. He could have said no, it's not a perfect cube and still be saying the truth. Or am I getting something wrong here?
Renato Andrade same thoughts
Sim mas ele apenas considerou que ele tenha respondido com um "Sim" no caso se não tivessem respostas com o segundo digito 1 então significaria que a resposta dele foi "Não" e ai teriamos que olhar os casos que n são, e se vc for tentar essa possibilidade vc acha varios numeros dentro das opções oq depois disso não faria sentido o interrogador perguntar sobre o segundo digito ser 1 e logo de cara achar a resposta com varias opções ainda
They're assuming it's true in order to test which line of answers leads to 2 possible answers for "Is the second digit 1?". They could have started by assuming it's not a perfect cube, but that only leads to lines of questioning where there is only 0 or 1 possible answers to "Is the second digit 1?"
The answer could have been ozo or ulu
You are on right track!! That question doesn't haven an optimal solution
So you clearly avoid the possibility whether the number is NOT a perfect cube. Why Ted???
If it's not a perfect cube he wouldn't have been able to decipher the supposed "answer" with those questions.
@@HosamL17 Actually yes, but only if the chef would have answered yes to the "digit question". However you ""know"" the spies arrived at the last question narrowing the solution to 2 numbers.
Volkan Ekici Because there will be too many option if it’s not a perfect square, and you can just solve it by trial and error.
1156 is the only square number above 500 and 81 the only one below 500 whereas the 2nd digit is 1! So if the spies ask whether the second digit is 1 and he answers with yes they should know either.
@@vaujam8539 moreover, why should we assume by the time the interrogator asks the last question they have already narrowed it down to two numbers. Let's follow the logic Ted goes through. They identify that the chef must have said the number is NOT square, which I agree with. But Ted "deduces" that the chef said the number is higher than 500, as this is the only way it leaves us with two options, 1000, and 512. But why? It is possible the chef said the second digit is 1, then it is totally possible that the chef said the number is smaller than 500 as then the only number which fits all the conditions is 81, thus the interrogators think they know the number. I am highly disappointed with this riddle
I rarely know how to solve these riddles but I love listening to the narrator's soothing voice.
0:56 There's glass between you and the chef. That gun isn't gonna do much.
Glass can break though
Never thought id find tinker tailor soldier spy in a teded video
Edit: thanks for the heart, teded.
I love the animation and logic applied in this riddle!! It's like education and entertainment all together!!
It has to be a perfect cube in order to narrow down the options since by the end of the interrogation, the interrogator knew the answer or else he would hv asked more questions.
Options:27,64,125,216,343,512,729,1000
However, there's another possible situation:
If the chef had said that the number is smaller than 500, not a perfect square, and has 1 as the 2nd digit...the interrogator would have narrowed it down to 216.
We don't know whether the 2nd digit has 1 but we do know that it is a square number and greater than 500 since the chef lied.
Then, the only number greater than 500 having a perfect square is 729.
This is just an alternate answer which was not considered in the video.
I've seen people get 729 but only by ignoring the implication that the interrogator narrowed it down to ONLY two options with the "We'll be done here. (Though some argue that this implication wasn't 100% clear). The interrogator narrowing it down 216 would be from 5 options which wouldn't make sense giving the wording of the problem.
Same here...
that "sealed with a kiss" at 0:15
0:49 is no one gonna talk about how the first 12 floors seem to get their own singular vault to themselves while all the others are on the 13th
Great video, but you didn't include the most important clue in the pause screen: before asking "is the second digit a 1?", the interrogator says "one more question and we'll be done", which is how you know he's narrowed it down to two numbers.
Totally forgot about this channel, loved watching this when they first started making these kind of vids
"WHERE'S THE LAMB SAUCE?!?"
Get out Gordon Ramsay
“I COULDN’T FIND IT, SO INSTEAD I REPLACED IT WITH REGULAR SAUCE!”
Guy: “How the sausage gets made”
Me: *AH,* *MISTER* *SECRETARY-*
And the very next thing he said was don't *Take a break*
Also wasn't it Alxander Hamilton on the notes she is holding?
“No one else was in the room where it happens” -Aaron burr
AHAH I was thinking about that
nagijojo siwa?
These are the worst interrogators to not just ask what the number is
You did all that for $90... great 👍🏻
If I’m the top spy in the city I think the city has more problems than secret sauces
Now answer me again,
*IS THE NUMBER UNDER 500*
_the chef is sweating profusely_
First you said can't hear what the chef said, yet you made conclusion base on what he "said"
Assumptions
The last question is worded just fine, I don’t know why everyone’s complaining. He said “if you’ll tell me whether the 2nd digit is a one [or not] we’ll be done here” not “if the 2nd digit is a one, we’ll be done here”
The way he worded the question means that no matter what the answer is, they’ll be done here- so they must only have two options left
You have to add in the card thingie (1:56) that the interrogators specifically said that they'd be done after asking that last question. I skipped to 1:56 and got the answer quickly as 729, because I assumed it went like this: Chef says yes to the number being less than 500, chef says no to the number being a perfect square, chef says yes to the number being a perfect cube.... in which case leaves the options 8, 27, 125, 216, 343. As weird as it sounded, I assumed the interrogator was just asking a random question at the end to confirm which of the numbers it was, which I didn't care about since I'm trying to find the real code. I concluded that in reality, the number is more than 500, and is a perfect square and a perfect cube. In which case the only options were 729 and 1000, since 729 was the only option that was a perfect square and a perfect cube I concluded it was that.
This comments needs to be higher, it's vital info that is not in the card
I got 729 as well. The issue is the 4th question doesn't actually need to be narrowed to 2 numbers, it could have been narrowed to 27, 125, 216, 343 and if the 4th answer is yes then the interrogators have determined that 216 is the number. So therefore we can't determine that the number is suppose to be below 500 based on this. And the solution if the number is above 500 is 729
"Don't take a break just yet, the world needs you"
Idk why but I kinda felt motivated when he said that
How can you tell if the chef is lying in the 1st two questions?
1. He is looking up and down a lot.
2. He is nervously sweating when he is answering the 1st two questions.
3. The terror in his eyes.
There's actually a possibility that if the answer on the last question was yes (wich we don't know but could be) that the interrogator goes to 216 if the answers where yes (less that 500) no (not a square) and yes (a cube) with a yes on the 2nd digit Being a 1 this would make the correct answer 729 (it would be greater that 500 and both a square and a cube wich is the case) this would be avoided if you add that he tells the truth on the last question (since this only can happen if he says "yes" to that question and the second Digit of 729 is not 1 so this scenario becomes impossible)
I got stuck for ages trying to find An answer to that
i also don't really like the aspect of having to use "I have to be able to solve it so therefore this scenario is impossible" just imagine the answerseries "yes yes no yes" the interrogator would think it is 81 and you wouldn't be able to solve it becouse you have to many options
A Parallel thing happens with "no yes no yes" the interrogator thinks it's 1156 and you can't solve it
But maybe that's just my opinion
I got the same 64->512 & 729->216 paradox that got me for a long time until I gave up.
Wait, I arrived at the conclusion of 729 and 216 after a few minutes of investigation, and you’re telling me it’s actually a correct answer? Yay!
I got the 216 and 729 one too, it just seems this riddle has too many things for the maker to be able to be absolutely sure there are no other true answers
You are mistaken because the interrogator himself is sure, he will be done after the last question even though he does not know the answer yet. Therefore there can only be two options left at that point, which rules out all of your scenarios.
Well, let's imagine the answers were "Yes", Yes", "No", "Yes".
Is it less then 500? Yes. So it's 13~499.
Is it a square? Yes. So it's one of the squares between 13 and 499. The possible solutions are: 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484.
Is it a cube? No. Therefor, we remove 64. However, that still leaves the interogators with 18 possible answers.
However, the interogrator is suppose to be garanteed to be able to get the solution, regardless of what Answer 4 is. Therefor, this solution is imposible.
Now, let's look at scenario "No", "Yes", "No", "Yes".
Is it less than 500? No? Therefor, it's 500~1300.
Is it a square? Yes. Therefor, it's one of the following: 529, 576, 625, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296.
Is it a cube? No. So, we remove 729. But that still leads us with a lot of numbers.
And again.
You must have not understood the last clue.
The interogrator says: "If you just answer if the second digit is a 1, we'll be done". What this means is, "if you tell me weather the second digit is a 1, then I'll be garanteed to know the answer, regardless of what you tell me".
Which is NOT true in this scenario.
You see, we aren't actually suppose to analyze what the interogrator will know after question 4.
We need to analyze what he knows before question 4 is asked. And make sure that what the interogrator says is true, that he needs an answer to question 4, and that no matter what the answer to question 4, he will be garanteed the answer.
Okay.
I admit it.
After I typed all of this out, I understand what the problem with this riddle is.
The math is absolutly correct.
It's just that not everyone were able to understand that:
1) The interogator will not ask extra questions if he doesn't need them, hense he needs question 4.
2) The interogator will be garanteed to know the number, regardless of what the Chef answers.
I was perfectly able to understand these two things myself.
But I can see that it wasn't explained as best as it could have been.
Plot twist:
"interrogator's also know when he said truth or lied"
Except it did actually say that the interrogators fell for it
Ozo
Heres the *actual* questions.
1. *sausage saloon* & *burger bazaar* want a tomato sauce recipe? 🤔
2. Why do they ask questions like "is it a perfect cube" and "is the number less than 500" instead of asking the simplest question of all: "what is the number of the locker with the sauce recipe in it" ✨💀✨
If i had creativity like this, i would be a billionaire book writer
And me as a new friend 😁
2:08 Uhhhh... no, we do not know that, based on what is said in the video. We only know that AFTER the chef answers, the interrogator doesn't need to ask anymore questions. That doesn't mean that IF the chef had given the opposite answer, he would also be finished asking questions. Frustrating to spend time on this and finally realize I wasn't given the correct and complete set of information.
I had this same problem. I was stuck, so I continued watching the video. Then, as soon as he said that, I paused and found the answer. It seems like a bit of an overlook?
@@ahuman7882 Yea, I think the top (pinned comment) by TED-Ed attempted to clarify that oversight. But if you are like me, watching the video, pausing, and trying to figure it out, you wouldn't have looked at the comments until after you already got the answer, either on your own, or by watching the rest of the video... so the pinned comment doesn't help anyway.
@@cnelsonlv99 Ah, I see. Yeah, I didn't look at the comments right away. At least they clarified that at the very beginning of the answer, though, so people have a chance to pause and try again
@@ahuman7882 Yea... I think after trying to figure it out, and then realizing they left that out, I was too annoyed and just watched to the end.
@@cnelsonlv99 That makes sense
Nice puzzle. Although the summary is ill formulated.
7) should be modified to: The interrogator asked “ Tell me if the second digit is a 1 and we’ll be done here”. You don’t know if the chef has answered truthfully.
Edit: I hope you take it as a feedback rather than criticism. I am truly appreciate the effort you put into composing these puzzles.
0:35 Her back!?!!
When I hear "is it a perfect cube?" I was like huh, 64? I can't believe this is my calling
A stack for me
As for whether the second digit is a one, I believe that since the chef isn't looking away, he answers truthfully. However, we don't know whether 512 or 1000 is the number the interrogator thinks is correct. Here are two possibilities.
If the chef answered yes to the number's second digit to being a 1, the interrogator would think 512. However, if the chef said no, the interrogator would think 1000.
How do I know these two numbers are the interrogator's possibilities? Well, the chef answered no to the first two questions, meaning that 512 and 1000 are both greater than 500, and neither is a perfect square. However, the chef answered yes to the number being a perfect cube, so both numbers are perfect cubes, and each number has a 1 as one of its digits.
0:07 that’s really fast
i feel very proud of myself for finally solving one of these myself
actually both 216 and 512 are valid answers to this riddle
The real question is why and how do they have 1300 boxes in the back room?!
100 on each floor
@@Inkyminkyzizwoz if vaults 13-1300 are on the 13th floor, i dont exactly think thats how that works
@@BappO-is-me the tower is just a really big f
Speaking of secret sauces, do you know what is Taco Bell's secret sauce?
No idea, they keep it under wraps.
I reasoned this way:
If the number is between 500 and 1300, the field is large enough and so it's not convenient for the chef to risk lying and get caught.
Likewise, if the number is a perfect square, it is convenient to lie and throw them off track, whereas lying by saying "it is" while it isn't just narrows the field for them, meaning they will find a box faster and realize you lied.
And, same logic for the "is it a perfect cube?". It wasn't, so the chef told the truth and replied no.
I know I am making an assumption by deciding that the chef decided to play it like that, but I feel it's a gamble worth taking.
Perfect squares between 1-500: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441
Minus 64 which is a perfect cube
So that leaves me with 20 boxes I need to check. Can I check them all in time? I decide to start from 121, because reasons, and move my way forward from there
The only issue with this riddle is that we had no way of knowing that the interrogator has narrowed the list down to two numbers when he asked if the number had a 1 in the second digit. He could’ve been trying to eliminate a single number from the list, it’s a possibility. That’s the only reason why I couldn’t solve the riddle.
I was searching for this comment 😂 lame question
Exactly! Wtf is this, so disappointing
You have to be illogical to solve this
1:47 mans looking like a shrimp with the 246° back angle
I have several issues with this problem:
1. The expression "second digit" can be ambiguous to some readers. One could understand it meaning "second digit from the right" or "second digit from the left".
2. If I follow the answers as the investigator gets them, I get several possibilities:
(1st question-2nd question-3rd question-4th question)
A) Yes-Yes-No-Yes: A perfect square less than 500 which is not a perfect cube with "1" as the second digit is 16 (or 81 if I mean "second digit from the left"). The spy would be unable to conclude the solution in this case as there are too many possibilities to choose from.
B) Yes-No-Yes-Yes: A perfect cube less than 500 which is not a perfect square with "1" as second digit is 216. Inverting the first two answers as lies, one would end up with the number 729.
C) No-Yes-No-Yes: A number > 500 which is a perfect square but not a perfect cube.
If one reads it as "second digit from the left" one'd get the unique number 1156. Inverting the first two answers as lies, one would be unable to conclude the solution in this case.
D) No-No-Yes-Yes: A number bigger than 500, not a perfect square but a perfect cube. From the 3 possibilities here (not two!) only 512 has "1" as its second digit. Inverting the first two answers as lies yields the number 64, which is the solution presented in the video.
In summary, if the spy can narrow it down to a solution at all, he gets the two possibilities 64 & 729.
The solution presented in the video uses the clues not in the order the investigator gets them and in scenario D) he would end up with three and not two possible numbers (512, 729, 1000) before he asks about wether the second digit is a "1". Even with the added rule the problem persists, because the investigator has three numbers to choose from and not two!
On the fourth question, the interrogator said that they'd be done after that, as in they'd be done whatever the chef's answer was, so he must have only had two options left at that point, and the only possible combination of answers to the first three questions that could've led to that is No-No-Yes
And 'second digit' does generally mean second from the left
2:36 this entire answer is based on the assumption that it’s a truthful yes. What if it was a truthful no.
Then there would be no answer, what I don't get is why they didn't check that in the video.
That would be too much to work with. That would leave them with 1280 options to check. In this case, it would be easier to assume the answer to the perfect cube question is yes. If that didn’t work, then we can check the 1280 options left between 13 and 1300.
that's why it's an assumption dimwit
I know I'm late, but I need help.
I'm confused because when the interrogator says "Is the number less than 500?" and the chef lies, you still can't really tell.
Let me explain. Ted-Ed says that the number is less than 500 because of the chef's answer, but you still really can't tell if it really is less than 500.
Imagine that you don't know the number. The chef lies when he's asked if it's less than 500. It could really be higher than 500 because the chef might've answered "Yes". You can tell it's a lie but still can't tell whether it's above 500 or below. What I'm saying is that if the number is greater than 500, and the chef answered "Yes" then it's still a lie and the number is greater than 500 but Ted-Ed says it's below 500.
The fact that it is less than 500 was figured out using the other conditions.
512 and 1000 are two possibilities the interrogator can be left with, provided that he has been told that the number is greater than 500.
This means that the chef lied and said,"Yes" to the first question. This "Yes" has to be a lie to prompt the interrogator to ask that is the second digit one or not.
Thats how the number is less than 500. Hope you understand.
I rewatched the video. Thanks, I understand now, at least I think so.
You should also include that the interrogator try to ask the question with least number possible because in the video the last question maybe ask randomly (about 1 at the 2rd digit) and the chef eventually answer yes then it wouldn’t be clear whether the answer is 64 or 729.
For example if the chef answer no the interrogator will ask if the 2nd digit 7. if no again 2,4 and they will eventually get the number but with much more number of questions .
I forgot to include that in this scenario the chef can answer that the number is lower than 500
I know im bad at explaining things but put simply chef‘s answers could be like
1st case
1)yes
2)no
3)yes
4)yes
Interrogator gets 216
2nd case
1)no
2)no
3)yes
4)yes
Interrogator gets 512
As you can see both cases can occur.
Hopefully this is clear now😅
Ah, yes. Subterfuge is one of my main skills, thanks for bringing that up. 😂
TED-Ed: "Can you solve the X Riddle?"
Me: "Nope but I'm gonna watch anyway."
Exactly
Interrogator : Has a gun
Also interrogator : Asks mathematical questions instead of directly asking the number!
Logic : I'm dead!
3:48 how did you know the chef said the number was greater than 500 than lied ? I thought we couldn't hear what the chef said
That's the same thing I thought! I kept going back and forth the video to see if I got anything wrong but they clearly say that he lies but we don't know the answer, so it could be both yes and no. Fuuuuuu!
*then - it's bad enough seeing people CONSTANTLY getting it wrong the other way round!
And you deduced the chef's answers from the fact that the interrogator must've narrowed the options down to two numbers with one having a 1 as the second digit, which is why he said they'd be done there after that question
This is literally the plot of Spongebob!!!😂
True, ted ed:noooo Ooooo it S n Ot
Is the plot of SpongeBob 10% plot and 90% math problems?
What if the answer to "is it greater than 500" was no. It would also make the kidnappers think 216. Again, in that case, we will still be stuck with either 64 or 729. We still do not know which one it would be. I believe that there is no unique solution to the riddle.
Here's the mistake at 3:45
How does the spy know what the chef said if he could not hear the chef?
Ted-Ed: Here's a riddle with numbers.
Me: THE NUMBERS, MASON. WHAT DO THEY MEAN!
When the video is 4+ minutes long but it was released 3 minutes ago and there is already comments
0:56 "Is the number less than 500?"
You can't hear the chef's answer.
Later, at 3:44: The chef said the number is greater than 500.
If the chef said the number was less than 500, the interrogator wouldn't have known they'd end it with the last question. The interrogator knowing that was not listed in the rules, but was mentioned earlier, so there is all the necessary information.
You DEDUCED that the chef said it was
i'm just gonna say *no* before i even watch it
My solution to this riddle:
Step 1: Knock out the guard and kidnap the chef.
Step 2: Threaten the chef until he spills his guts.
Step 3: Get the recipe.
It is a fallacy to assume that there are only two options by the last question (one with a '1' as the second digit and one without). For example, if the remaining numbers are 27, 64, 125, 216, and 343, and the chef answers "yes, the 2nd digit is a 1", the thieves think that it will be 216. So I do not think that there is a unique solution to this riddle.
Exactly
When the sausage saloon is like "sometimes that's how the sausage is made", wants the spy to be in the room where it happens, and then pays in $10 bills