tag:blogger.com,1999:blog-15628310.post9069255280843394910..comments2022-05-11T09:54:19.451-04:00Comments on Question of the day: How Many Apples Does it TakeAnonymoushttp://www.blogger.com/profile/18153935609499338685noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-15628310.post-49433673757781351982008-08-02T13:43:00.000-04:002008-08-02T13:43:00.000-04:002234right answer for above.David has told 'Aha'. I...2<BR/>2<BR/>3<BR/>4<BR/>right answer for above.<BR/><BR/>David has told 'Aha'. It meant he has eaten maximum apples. He could not have eaten 5 or more apple as in that case he would know in advance which is not the case.<BR/><BR/>So if david has eaten 4 apples. Then there are 7 apples left.<BR/>1 has been eaten by remaining 3 for sure.<BR/>So now 4 apples are left.<BR/>Since Albert has eaten more than 1 apple that is why he is asking a question to others whether they have eaten more than him. If he would hv eaten only 1 apple, then he would not hv asked this question as others would have obviously eaten more than him.<BR/>Berk does not know the answer as he has also eaten more than 1 apple.<BR/><BR/>Carl knows thatAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-15628310.post-50235020515748031492008-05-06T13:38:00.000-04:002008-05-06T13:38:00.000-04:00David can only know how many apples each person at...David can only know how many apples each person ate if he ate 8 apples. This would leave 1 for each of the remaining three people.<BR/><BR/>The reason is simple. You only know that each person ate 1 apple and that all 11 apples have been consumed.<BR/><BR/>Answering "I don't know" doesn't mean that they ate more or less than you. It just means that they didn't eat more than 50% of the 11 apples.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-15628310.post-89145588588320849292008-05-06T10:44:00.000-04:002008-05-06T10:44:00.000-04:00Nice work as always Abe. Alfred had 1, Bert had 2...Nice work as always Abe. Alfred had 1, Bert had 2, Carl had 3 and David had 5. Alfred could not have had 5 or more. Bert could not have eaten only 1. Neither could he have eaten 5 or more.<BR/><BR/>So Carl knows Bert had 2, 3 or 4 apples. But he still doesn't know if Bert had more than he did. That means he must have had 3 or 4. <BR/><BR/>The only way David would know everyone else's totals is if he had had 5. He knows the others must have eaten 1, 2 and 3.Anonymoushttps://www.blogger.com/profile/18153935609499338685noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-61884980474692731202008-05-05T21:42:00.000-04:002008-05-05T21:42:00.000-04:00Ok, I'm going to take a shot at this one...First, ...Ok, I'm going to take a shot at this one...<BR/><BR/>First, we'll assume that when a wise man asks a question, he cannot figure out the answer with logic. This means that when a wise man asks another wise man if he ate more apples, the one asking the question cannot have more than 4 apples (because if he had 5 or more, he would necessarily have the most apples of anyone and wouldn't need to ask). Also, if the one answering says, "I don't know," he also must have 4 apples or fewer, by the same logic.<BR/><BR/>This means that Alfred has between 1 and 4 apples. Then, Bert must have between 2 and 4 apples, since he would have just said "no" to Alfred's question if had 1 apple. Then, Carl must have either 3 or 4 apples, since he would be able to figure out the same things we've laid out here, and he would have just said "no" to Bert's question if he had 1 or 2 apples. Therefore, the only way David would have enough information to know everyone's apple counts is if he had 5 apples, which would only leave one possibility for the apple counts of the other three members (the fewest possible for each one -- there is only one way to make 6 apples to round out the 11 total apples).<BR/><BR/>The final totals would be:<BR/>Alfred -- 1 apple<BR/>Bert -- 2 apples<BR/>Carl -- 3 apples<BR/>David -- 5 applesAbehttps://www.blogger.com/profile/04424868492071587450noreply@blogger.com