Math topic中文

Digit puzzles (cryptarithms)

Fill digits in vertical or horizontal calculations using constraints from leading digits, unit digits, carries and borrows.

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Practice questions

  1. 13个三位数乘积的算式 abc×bca×cab=234235286,(其中a>b>c)在校对时,发现右边的积的数字顺序出现错误,但是知道最后一位6是正确的.问:原式中的abc是多少?
  2. 2Let the letters F,L,Y,B,U,GF, L, Y, B, U, G represent distinct digits. Suppose FLYFLYFLYFLY is the greatest number that satisfies the…
  3. 3用0,1,2,3,4,5,6,7,8,9十个数字各一次,组成一个十位数.将这个十位数依次分成三段,每一段不少于3个数字.第一段的数分别能被1,2,3整除;第二段的数能分别被4,5,6整除;第三段的数能分别被7,8,9整除.那么第一段的数是多…
  4. 4请在□中填入适当的数,使算式成立. 2001×□□□□=2□0□0□1.
  5. 5In the figure below, each circle will be filled with a digit from 1 to 6. Each digit must appear exactly once. The sum o…