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You are not logged in. #1 20100624 04:24:45
Selected Olympiad Questions!1. A 50digit natural number is completely divisible by 13. If all the digits, except the 26th digit, are 1 then find the 26th digit. If two or more thoughts intersect with each other, then there has to be a point. #2 20100624 05:43:23
Re: Selected Olympiad Questions!
Why did the vector cross the road? It wanted to be normal. #3 20100624 16:36:13
Re: Selected Olympiad Questions!mathsyperson: WOW!! Catchy! If two or more thoughts intersect with each other, then there has to be a point. #4 20100624 19:08:36
Re: Selected Olympiad Questions!
Why did the vector cross the road? It wanted to be normal. #5 20100624 20:00:12
Re: Selected Olympiad Questions!1.
Last edited by phrontister (20100625 13:12:19) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #6 20100625 15:03:13
Re: Selected Olympiad Questions!phrontister: UNIQUE! It took me a while understanding why you divided the power of 10 by a 9 but got it now! Comps must be your Favorite Toys!! If two or more thoughts intersect with each other, then there has to be a point. #7 20100625 15:04:40
Re: Selected Olympiad Questions!mathsyperson: you saw it through again! If two or more thoughts intersect with each other, then there has to be a point. #8 20100625 22:23:27
Re: Selected Olympiad Questions!
Yes...my scientific calculator and my pocket BASIC computer. I know where the buttons are...still trying to suss out what they do! "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #9 20100626 05:35:22
Re: Selected Olympiad Questions!Seems like one day you'll be able to work upon them blindfolded! If two or more thoughts intersect with each other, then there has to be a point. #10 20100626 22:08:03
Re: Selected Olympiad Questions!4. Suppose N is an ndigit positive integer such that If two or more thoughts intersect with each other, then there has to be a point. #11 20100627 10:33:32
Re: Selected Olympiad Questions!Is 4. (a) correct, Zhero? I don't understand it as is, and you might have to explain it to me. I would have thought that "n" should read "N" there. Or maybe, "all of N's digits are distinct". "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #12 20100627 15:46:49
Re: Selected Olympiad Questions!You got it! In 4 (a), the actual statement "all the ndigits are different" actually means that "all digits of N are different". If two or more thoughts intersect with each other, then there has to be a point. #13 20100627 23:20:51
Re: Selected Olympiad Questions!Thanks for the clarifications, ZHero. I think I get 'em  I think (sic). EDIT: a different output of the same solution. I saw a pattern in the original output and altered the program (BASIC), which now completes in a tiny fraction of the original time. "What is the maximum value of 'n'?" Last edited by phrontister (20100630 04:39:41) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #14 20100628 00:33:48
Re: Selected Olympiad Questions!Awesome job! If two or more thoughts intersect with each other, then there has to be a point. #15 20100628 00:43:33
Re: Selected Olympiad Questions!
Oops! Tricky blighter...doing handstands while I wasn't looking! I've stood him back up on his feet again! Last edited by phrontister (20100628 00:46:12) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #16 20100701 11:53:43
Re: Selected Olympiad Questions!Hi ZHero! "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #17 20100703 01:25:03
Re: Selected Olympiad Questions!Hi phrontister! Your solution is flawless! You Rock! If two or more thoughts intersect with each other, then there has to be a point. #18 20100703 18:41:59
Re: Selected Olympiad Questions!Hi ZHero, Last edited by phrontister (20100703 18:44:42) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #19 20100703 19:05:42
Re: Selected Olympiad Questions!
By all means! When I asked my colleagues this questions and found a mismatch, I told them that the correct answer has to be for the reasons you can understand!The method they used was.... If two or more thoughts intersect with each other, then there has to be a point. #20 20100704 21:57:58
Re: Selected Olympiad Questions!Hi, ZHero! Thanks. Last edited by phrontister (20100704 21:58:28) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #21 20100705 01:00:14
Re: Selected Olympiad Questions!Hi phrontister! If two or more thoughts intersect with each other, then there has to be a point. #23 20101109 20:55:40
Re: Selected Olympiad Questions!Hi nerissa22; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #24 20120425 15:48:08
Re: Selected Olympiad Questions!
please give a solution to this problem. #25 20120425 16:31:37
Re: Selected Olympiad Questions!Hi manpreet singh saluja; So call 3^3 = a and 2^2^2 = b. Now, call 3^a = a1 and 2^b = b1, now we can continue Call 3^a1 = a2 and 2^b1 = b2. We can continue recursively like this until we work our way down the tower. So Welcome to the forum! In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 