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Unformatted text preview: (3) Since 2339 is already bigger than 100 we can drop the 1 2339 to get 1 1 + 1 2 1 2 (4) which sums to 5 7 , and indeed 5 × 2 14 / 7 = 11702 . 8571 . . . (1) which is within 1 2 of 11703. The number r is thus a multiple of 7 less than 100. We also have 15019 / 2 14 = 1 1 + 1 11 + 1 341 + · · · (5) Since 341 is bigger than 100 we can drop the 1 341 to get 1 1 + 1 11 (6) which sums to 11 12 , and indeed 11 × 2 14 / 12 = 15018 . 666 . . . (2) which is within 1 2 of 15019. So r is a multiple of 12 less than 100. Since 7 and 12 have no common factors the least multiple of both is 7 × 12 = 84 and there is no other common multiple less than 100, so r = 84. 2...
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 Spring '05
 ANON
 Physics, Pallavolo Modena, Sisley Volley Treviso

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