Henry Ernest Dudeney/Modern Puzzles/66 - Another 37 Division
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Modern Puzzles by Henry Ernest Dudeney: $66$
- Another $37$ Division
- Here is an interesting extension of the last puzzle.
- If the $9$ digits are written at haphazard in any order, for example $412539768$,
- what are the chances that the number that happens to be produced will be divisible by $37$ without remainder?
Click here for solution
Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $66$. -- Another $37$ Division
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $117$. Another $37$ Division