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zakruti.com » Knowledge, science, education » Logically Yours
Cheryl's Birthday Puzzle Brilliant Viral Puzzle on Facebook and WhatsApp

Cheryl's Birthday Puzzle Brilliant Viral Puzzle on Facebook and WhatsApp

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Rating: 4.0; Vote: 1
Cheryl's Birthday Puzzle -- Brilliant Viral Puzzle on Facebook and WhatsApp Devon: If Cheryl said to you' One of these three dates are my birthday; August 15, August 17 and July 16' and then said 'I am going to give you either the month August or July, which month would you want her birthday to be such that you get it right'? of course, in July. That is, if it is in the month of July then you would know for sure her birthday is July 16 as only one date with July. What if her birthday was in August and she gave you August which one of the three dates (August 15, August 17 or July 16) which month would you ask her to ELIMINATE in order to get her birthday? of course either August 15 or August 17. You certainly would not want her to eliminate July as you then would be left with TWO Augusts and thus would have a 50-50 chance of getting it.
In this puzzle, you eliminate the months of May and June given that there is May 19 and there is June 18 and so Albert WOULD NOT have made the first statement 'I don't know Cheryl's birthday but I know Bernard doesn't know either', if he (Albert) has gotten either a May or June' since if Bernard had gotten a 18 or 19 then her birthday would be either June 18 or May 19. Game won by Bernard, meaning if Bernard had gotten 19 then her birthday would have been May 19 and Albert would have gotten May from Cheryl (remember got July, and if Bernard had gotten 18 then her birthday would have been June 18, and Albert would have gotten June as no other months have the number 18 (only June ) or 19 ( only May.
And this why Albert said 'I don't know Cheryl' birthday but I know Bernard doesn't know either because he (Albert) has gotten July or August. Therefore, Cheryl birthday is either in August or in July.
But when Bernard said ' I didn't know Cheryl's birthday at first but now I know', he could not have known if he had gotten a '14' since there is a July 14 as well as a August 14. Therefore, has gotten either 15, 16 or 17. Therefore, Cheryl's birthday is either August 15, August 17 or July 16.
When Albert then said ' Then I now know Cheryl's birthday', we know that
Albert must have gotten -July' for him to say' Then I know Cheryl's birthday' since he COULD NOT HAVE drawn that conclusion if he had gotten 'August' since there is an August 15 and an August the 17, hence he received 'July', therefore, her birthday from the following three: August 15, July 16 and August 17 MUST BE July 16, as there is only ONE July. We the audience can only conclude that it is July 16, after Albert said 'Then I now know her birthday' else without Albert saying that we are stuck at July 16 or August 15 or August 17
so solution: July 16.
Remember, the goal for Albert is to have only ONE July left in order to find Cheryl's birthday while the goal of Bernard is to have just One month left with a '16' in order to find Cheryl's, so though Albert helped by eliminating May and June Bernard when he said 'I don't know Cheryl's birthday but I now Bernard doesn't either' thus leaving only July and August, Albert really helped Bernard by eliminating May 16 since Bernard just want ONE month with 16, so he wants all the other months with 16 to be eliminated leaving just one. So this how Albert really helped Bernard by eliminating May 16 (since he has eliminated all of dates in May.
And Albert goal just to have One month left, so he doesn't want to have a July 14 and July 16 together, or August 17 and August 15. So say Cheryl birthday was in August, then Albert would have wanted July 14, July 16, and just one August such as August 15 or 17 but not both because if Albert was to narrow the dates to say July 14, July 16 and August 15, then Cheryl birthday would have been August 15 since there is just one August.
So what Albert and Bernard have in common is they both want just ONE thing left, for Albert just one month either July or August and for Bernard just one month with a '16', so Bernard would want to see May 16 and June 16 together or May 16 and July 16 etc else he would not know her birthday and that's why when Albert statement eliminated May, it is actually the elimination of May 16 that really really helped Bernard, so once Bernard see just one month with a 16, July 16 he knew that it was that day. What if there was an August 16? then Bernard would not have drawn the conclusion that her birthday was July 16 since would have two months with a 16.
If Bernard had not made any statement, then only Bernard would have known her birthday.
If Albert had gotten August, then Bernard would not have gotten a '16' but either a 17 or a 15, Yet Bernard still would have known her birthday, but Albert WOULDN'T have known her birthday, but would have known that it was either August 17 or August 15. As said above the answer/solution July 16.

Date: 2023-11-15

Comments and reviews: 25


This can be looked at as a challenge to Albert, Bernard, and the audience, who have to work together to find Cheryl's birthday, but Albert is given a month, while Bernard a day, and the audience nothing. Albert and Bernard can only make three statements using - I don't know - or -I know Cheryl's birthday.
So Albert, after observing that only May (19 ) and June (18) have unique days 19 and 18, the first statement was, 'I don't know Cheryl's birthday, but I know Bernard doesn't know either, ' which tells Bernard that Cheryl's birthday was not in May or June since Albert couldn't have made that statement if Bernard had received 18 or 19. In other words, her birthday was either in July or August. But May per se was not the most important month/date to be eliminated, specifically May 16, since Bernard got '16' from Cheryl and there were only two '16s, July 16 and May 16.
Therefore, GAME OVER for Bernard since ONLY July 16 was left. And so he knew her birthday was July 16.
So it is now Bernard's time to help Albert, so though Bernard knows her birthday is July 16, by saying aloud, ' I didn't know at first Cheryl's birthday, I now know' ELIMINATES one of the two Julys leaving just one as Bernard was observing/looking at July 14, July 16, August 14, August 15, and August 17 as just JULY from these FIVE dates had the number, '16, consequently, Bernard knew her birthday was July 16.
Albert was helped because he knew that Bernard could not have said ' I now know ' if he was given a '14' because there are both July 14 and August 14. This leaves just one July (in this case, July 16, and so Albert was able to find her birthday since he has a July, but now only ONE ONE ONE July was left, July 16 (It wouldn't matter if it was July 16 that was left or July 32 or July 100 as long there was just ONE ONE ONE JULY left Albert would have found out her birthday since she gave him the month of July
Time to help the audience, and Albert did so when he loudly said, ' Then I didn't know Cheryl's birthday, but I know now ' after being left with July 16, August 15, and August 17. This tells the audience that Albert has 'July' or was given July since there was just ONE July from these three dates (July 16, August 15, and August 17, and so the audience concludes that her birthday is in July and hence Cheryl's birthday
is July 16. Game over for all three: Bernard, Albert, and finally, the audience (us)
In sum, Albert could not have gotten August from Cheryl and made the statement 'Then I now know' since there were two MORE Augusts, but just ONE July; after all, she cannot have two birthdays, August 15 and August 17. So we, too got to know her birthday was July 16, as Albert was given July.
Albert first helped Bernard by reducing the two '16s' (May 16 and July 16) to just one '16' (July 16, who in turn helped Albert by reducing two 'Julys' ( July 14 and July 16) to just one 'July '(July 16) who in turn helped the audience. And all three found out from these three statements made loudly 'I don't know, but I know Bernard doesn't either. ', ' I didn't know before but now I know, and 'Then I now know. These three statements were the key to all three finding the solution: JULY 16.
Afterthought: The puzzle could have included 'June 16' to appear more complicated. However, June 16 would have been eliminated at the same time as May 16 with Albert's first statement, - I don't know Cheryl's birthday, but I know Bernard doesn't know her birthday either,

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Since Bernard received '16' (or if any other day) his goal is to see one month with a 16. So he doesn't want to see May 16, and July 16 together, instead he wanted to be left with either August 16 or May 16. It is fine if he only had May 16 left (then May 16 would be her birthday ), but he cant have both May 16 and July 16. It is fine if he sees June 14, June 17, August 15, May 18, or whatever other month as long as he is only left with ONE month with a 16.
So this is why Albert was so helpful to Bernard, when Albert said 'I don't know Cheryl's birthday but I know that Bernard doesn't either' since this eliminate all the dates with May and consequently eliminated May 16 leaving just ONE month with a 16 (July 16, July 14, August 14, August 15 and August 17) and so Bernard was able to find her birthday.
So when Bernard then said - now I know' after Albert statement, this helped Albert to know Cheryl's birthday since it eliminated a July (in this case July 14) leaving only ONE July (in this case July 16(remember Albert was left with July 16, July 14, August 14, August 15 and August 17, two Julys and three Augusts, but since August 14 and July 14 have the same day, Albert was able to conclude that August 14 and July 14 were not her birthday since Bernard could not have said ' I now know' and this in turn eliminated July 14, leaving just ONE July as while Bernard goal (as said above) is to only have ONE month with a 16,
Albert' goal is just to have ONE JULY LEFT whether it is July 14 or July 16 but not both.
So Albert is left with July 16, August 15 and August 17. He is left with ONE July and two Augusts. it doesn't matter HOW MANY August he is left with as long as he is left with just ONE July it is Game over.
If he was left with just one August, such as from: August 16, July 15, July 16, July 17 (or whatever) then August the 16 would have been her birthday, since he would have been left with just ONE August (and three Julys or whatever amount of July would not matter.
So for both Albert and Bernard to get her birthday, they have to each end with just 'ONE'.
In Albert case, he needed to see just ONE month and for Bernard just ONE month with a '16' or whatever day he was given. So Bernard just want to eliminate all the months with a '16' EXCEPT for just ONE to get her birthday.

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The logic is flawed. The problem cannot be solved according to the manner in which the initial statement is written. Let's examine the statement, -Cheryl tells Albert and Bernard separately the month and day of her birthday respectively. - If you interpret the sentence according to the sentence syntax structure, Cheryl has shared both the month and day with Albert and Bernard. The way the conjunction 'and' is used in this sentence means she did not separately tell one the month and the other the date. Rather she told both Albert and Bernard both the month and date. Also, the placement of the word 'respectively' in this sentence would mean that the order in which Cheryl shared her birthday (both month and day) was first to Albert, and then later to Bernard. To arrive at the logic used to solve the problem, the sentence would have to have been structured differently. Example: Cheryl separately told Albert the month and Bernard the date respectively. In this sentence it is clear that Cheryl told only one part of her birthday information to each of them, and she told Albert before she told Bernard.
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Bro with due respect I think your answer is wrong the possible answer can be August 17, now let us see.
First of all it is easy that May 19 and June 18 cannot be a possible option so just ignore them
Now suppose bernard got the date as 17, now he has the doubt either of it being a June 17 and August 17.
Now access the statement because albert said neither he nor bernard know the answer, so now it is illogical for bernard to think june as a month (because if it is then Albert surely know the date as there is only combination with june, so now bernard come to conclusion that it should be August 17 hence statement 2 is satisfied.
Now access the third statement as soon as bernard said that he knew the answer there is only one possibility of it which is August 17 without breaking the above two statements, all of other possibilities could clearly satisfied the first statement but broke the second statement and hence only option remains is August 17, plz reply me if something is wrong in this.
I will appreciate it.

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I came across this problem and have been trying to understand why you eliminate May 15 and 16. I read all the comments on multiple videos and I must be missing something.
I understand Albert knows the month, and Bernard knows the date.
I understand that Albert knows that it cannot be the 18th or 19th because Bernard would know immediately. Then, with that knowledge I can now eliminate June from the potential months because that would leave only the 17th. And Albert would then be able to deduce the birthdate. I cannot understand the logic behind eliminating the date's in May other than the 19th. Why do you automatically eliminate the entire month of May? If we tried this in real life there would be no way to determine the answer with these words. Neither could know 100% what the date is if you gave 14th, 15th or 16th.

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I-m pretty confident August 17th could also be the answer. Let-s break it down:
If Albert knows that Bernard doesn-t know, then we can eliminate June 18th and May 19th. Given that Albert says that he doesn-t know, even with this additional knowledge, then we know it can-t be June 17th either, otherwise he would have known the date. Since Bernard realizes the date immediately after Albert points this out, that means that it was one of the dates eliminated by Albert - the 17th. Since August is the only other month with the 17th, Bernard now knows the date. Since Bernard knows the date, Albert deduces that it-s one of the dates remaining after eliminating June 17th. That leaves August 17th as an answer for both of them to realize under the provided conditions

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The logic in this is flawed. Bernard will know the Birthday but Albert can not know. The key statement is Albert's -But I know Bernard does not know- This immediately tells Bernard it is not in May or June. If he were still unsure then the day he had been told would have been the 14th. But because he now knows the birthday he has been told the day is the 15th, 16th, or 17th. There is no way for Albert to then deduce the actual date. As a corollary, if Bernard had been told the day is the 18th or 19th. then he would have know immediately the month but poor Albert would still be in the dark. what is 0/0 => Cookie Monster is sad because he has no cookies, and you are sad because you have no friends.
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I think, logic to remove May and June is illogical.
Suppose the logic is OK and I use it to solve a similar problem wherein there are 12 dates. All above 10 plus 20th July and 21st August. Now, 20 and 21 also appear once in the whole lot, like 18 and 19. Will you remove all 4 months and declare tha, Cheryl was never borne? She is -Ajanma-? Albert's statements only tell that the dates in the month told to him also appear elsewhere. Hence B does not know. That's all.
The very fact that B is silent means that the dates are not 18 and 19. We don't need A to yell out that B cannot solve.

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1. A can eliminate the entire months of May and June (because that's the only way he can logically say that B doesn't know either at first. -
2. B now becomes aware of that same fact and both now know that the only possible candidates remaining are the entire months of July and August. -
3. B now knows her birthday, which means that it can not be July 14th nor August 14th-.
4. A now knows her birthday, which means it has to be July 16th because that's the only remaining candidate month that holds a single date.
-Answer: July 16th

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Why did they remove may though?
Considering the first statement:
Albert knows that Bernard doesn't know, but if Bernard knew it could have been may 19 or June 18, so Albert excluded these dates, but knowing that Bernard doesn't know, Albert still doesn't know, so we eliminate June 17. But if we stick with may options neither of them could have known! Because there are two options in this month and 2 dates of (16 and 15)! So why did they eliminate may?

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Knowing that the possible month are July and Aug, Bernard can tell what day is the birthday if has numbers 15, 16, 17. So he knows. But this information elliminates for Albert only the option of 14. From what Bernard said Albert can't know exactly what day is the birthday.
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i dont think the approach is right, you excluded may and june by a reason of 2nd one not know the age now, you should have excluded unique days only not months, you should have excluded 19 and 18, that is why i think the answer is june 17
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Brother pls clarify why u cut may or June,
Rest of the thing is clear. I agreed 18&19 is unique so it has to cut,
But brother why u cut the complete may or June. pls confirm.
Awaiting your response

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-aamar It can be June-17 as well!
A say B doesn-t know because 17 is there in June and Aug. So this eliminates only 18/19 day not the entire month.
But once B says I know it could be only June -17

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I think this problem can be made more complex and interesting if we assume that Cheryl told Bernard the day of the week on which she was born and not the date. Could someone coment please?
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I get why 18 and 19 can be eliminated but how and why do you jump to the conclusion to eliminate all of may and be 100% certain about it, doesnt make sense to me, please explain.
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Maybe II am missing something here but as A only knows days B only knows months then the solution is impossible as neither has access to the other half of the info. Is this a hoax?
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Yevde hyshar ahe ka te albert ani. Berald je kay naaw ahe tyanche abe yevda chutiya pana koni karat nhi real life madhe jara changle puzzles aana re
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Why albert and bernard dont tell each other? Its easier.
Albert: hey the Month is July
Bernard: ya the date is 16th
Problem solved --

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Good explanation but there is a mistake in this riddle. If the date is August 15 or August 17 then Albert could not confirm the date.
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How you come to your last conclution? Maybe Bernard knew when the birthday is with 15 or 17 day. So Albert couldn't know for sure is 16
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Change the first statement to -I don't know, maybe Bernard knows-
Bernard: At first I didn't know, now I do.
Albert: June 17

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She could simply say my birthday is on 16 of july.
BUT NO!
She must complicated things!
Tipical cancer.

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How bernard knew cheryl's birthday? He has 3 options(15th, 16th, 17th) to pick. How can he pick 16th?
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A tricky one. Couldn't solve it and I also watched the video twice to understand the logic. Good work bro
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