| [ QuizWit ] in KIDS 글 쓴 이(By): pomp (PUZZLIST) 날 짜 (Date): 2003년 1월 29일 수요일 오전 08시 57분 33초 제 목(Title): Re: [퀴즈] 로또. There is at most one even number among the six numbers. Since odd digits are five, 1, 3, 5, 7, and 9, possible answer has the forms of ?1, ?3, ?5, ?7, ?9, and an even number. The mark ? means empty, 2, or 4. Note that ?1 must be 21 or 41. If it is 21, it has a common divisor with the number ?3 or ?7, since both of ?3 and ?7 are not two-digit numbers. Hence ?1 should be 41. Similarly, since one of ?3 and ?9 is a one-digit number and the other is two-digit, the even lotto number cannot be 6. It is trivial the even number cannot have 0 as digit, so that the even number should be 8. Thus the answers are 41, 3, 5, 7, 29, 8 and 41, 23, 5, 7, 9, 8. The colder weather, the simpler solution. :) ---- Pomp Of Math Puzzle - http://puzzle.jmath.net |