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The archaeologist Doug Wither-Trowel was excavating a site in France one pleasant afternoon when he came upon an unusual stone with a four letter English word engraved upon it. In his notebook, he wrote that no two letters were identical and that if one replaced each letter in the word with a number giving its alphabetic position (A=1, B=2, etc), the total of the letters is 20. Not only that, but the sum of any three of the numbers is exactly divisible by the fourth number. When his French assistant read the entry in the notebook he came to the conclusion that the word was French. What was the English word on the stone?
1. Written by
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on 14:40 05 2012 .
The answer is Jade
2. Written by
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on 17:33 05 2012 .
BALE - no 4 numbers are same and sum up to 20 means no number is larger than 14(n) and BANC is an Anglo-French word but 17 is not exactly divisible by 3. If M = 13 then D,B and A must be other letters and those do not form an English word. L = 12 then 3 numbers summing to 8 are 5(E), 2(B) and 1(A) but also form ABLE and BLAE of Germanic and Norse origin respectively. So Anglo-French BALE works.
3. Written by Peter on 18:08 05 2012 .
@Atilla The problem with BALE is that 8 is not divisible by 12. Obviously, letters ranked higher than 10 should not be considered at all, or this rule won't hold.
6. Written by
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on 07:14 21 2014 .
rating inflation
What the writer seems to forget is a thing called rating inflation. You have to at least add 100 points to fischer's rating. That would make him 2885. Even higher than magnus. Also second place was spassky who was over 100 points behind fischer , where as aronian is only 50 points back.
