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Category: Community
Forum: Chat Room
Thread: Weekend Puzzles |
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Thread Status: Active Total posts in this thread: 285
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Sgt.Joe
Ace Cruncher USA Joined: Jul 4, 2006 Post Count: 7703 Status: Offline Project Badges: 
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I see the palindromic effect.
----------------------------------------I wanted to give a hint, but I did not want it to be too obvious. Since you have put up the palindromic hint here, perhaps I will explain in a day or two. Cheers
Sgt. Joe
*Minnesota Crunchers* |
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adriverhoef
Master Cruncher The Netherlands Joined: Apr 3, 2009 Post Count: 2181 Status: Offline Project Badges: 
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Dear puzzle friends,
Here is the solution to the puzzle in post 701292. Let's have a look at our ATTITUDE and break it down into individual letters together with their position in the English alphabet. A T T I T U D E Now add the individual numbers: 1+20+20+9+20+21+4+5 = 100 Ergo, their sum is 100. So, if ATTITUDE is 100%, how much is KNOWLEDGE? We'll apply the same trick to KNOWLEDGE: K N O W L E D G E 11+14+15+23+12+5+4+7+5 = 96 KNOWLEDGE is 96%, apparently.  Of course, the percent sign was unneeded and just there to confuse the individual contestant, because you can't assign percentages to words, or can you? What about the percentage of a word that consists of digits, or foreign languages that have letters that are not contained in the English alphabet? Oh well, I'm going astray from the quiz.  Apart from that, now that we know the drill, how hard is HARDWORK? H A R D W O R K 8+1+18+4+23+15+18+11 = 98 So, KNOWLEDGE < HARDWORK < ATTITUDE, because 96 < 98 < 100.  Thank you very much for playing! Adri |
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Sgt.Joe
Ace Cruncher USA Joined: Jul 4, 2006 Post Count: 7703 Status: Offline Project Badges:
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Since you have posted the explanation here is my explanation for the "knowledge is abundant" hint. "96" is the number for knowledge. "96" is what is defined as an abundant number. An abundant number is defined as a number whose proper factors when added together are greater than the number. The proper factors for "96" are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48. When added together their sum is 156. Therefore if the number assigned to "knowledge is 96, then knowledge is abundant.
----------------------------------------Cheers
Sgt. Joe
*Minnesota Crunchers* |
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adriverhoef
Master Cruncher The Netherlands Joined: Apr 3, 2009 Post Count: 2181 Status: Offline Project Badges:
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"96" is the number for knowledge. "96" is what is defined as an abundant number. Awwww, that was a HARD one. Speaking of which, HARD work is deficient, because:HARDWORK (sum of the letters: 98), its divisors are the numbers 7 and 2, their sum is 9, so 98 is a "deficient or defective number". Adri PS It made me think of the book "Recreations in the Theory of Numbers" (published for the first time in 1964) that I bought when I studied computer science and never managed to read to the end.  |
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alanb1951
Veteran Cruncher Joined: Jan 20, 2006 Post Count: 989 Status: Offline Project Badges: 
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Um, Adri... For abundant, perfect and deficient numbers you count all the divisors except the number itself (a strict definition includes the number itself but compares it to two times the number) so for 98 that would be 1, 2, 7, 14, 49; it is deficient (deficiency 25), but not that deficient :-)
And, of course, in this modern world it should come as no surprise that ATTITUDE is also abundant! :-) By the way, thanks to Sgt. Joe for an interesting diversion -- it has been a very long time since I thought about those number classifications :-) Cheers - Al. P.S. As the first 3 perfect numbers are 6, 28 and 496 I couldn't come up with a quick word or phrase that would fit (I don't think my first name ought to count, as I am far from perfect!) |
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