26. What is the smallest number of odd numbers in the range 1, . . . , 2006 such that,no matter how these numbers are chosen, there will always be two which add to2008?27. Two semicircles of radius 1 are drawnon the diameter of a semicircle of radius2. A circle C touches all three semicirclesas shown. If the radius of the circleC isab, where a are b are integers withno common factors, then what is thevalue of a + b?...................................................................................................................................................... .... ................................................................................................................................................................................................................................................................................................................. .... ... .......................................................................................................................................................... ................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ........................................................................................................................................................................................................................................................................................................................................................................................................................................................ ...................................................CI 628. A lucky number is a positive integer which is 19 times the sum of its digits. Howmany different lucky numbers are there?29. A grid of squares measuring 9 units by 6 units has the two corners removed asshown:How many squares of any size are contained within this grid?30. On my calculator screen the number 2659 can be read upside down as 6592. Thedigits that can be read upside down are 0, 1, 2, 5, 6, 8, 9 and are read as 0, 1, 2, 5,9, 8, 6 respectively. Starting with 1, the fifth number that can be read upside downis 8 and the fifteenth is 21. What are the last three digits of the 2007th number
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