Henry Ernest Dudeney/Puzzles and Curious Problems/165 - The Postage-Stamps Puzzle
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Puzzles and Curious Problems by Henry Ernest Dudeney: $165$
- The Postage-Stamps Puzzle
- A youth who collects postage stamps was asked how many he had in his collection, and he replied:
- "The number, if divided by $2$, will give a remainder $1$;
- divided by $3$, a remainder $2$;
- divided by $4$, a remainder $3$;
- divided by $5$, a remainder $4$;
- divided by $6$, a remainder $5$;
- divided by $7$, a remainder $6$;
- divided by $8$, a remainder $7$;
- divided by $9$, a remainder $8$;
- divided by $10$, a remainder $9$.
- But there are fewer than $3000$."
- Can you tell how many stamps there were in the album?
Click here for solution
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $165$. -- The Postage-Stamps Puzzle
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $232$. The Postage Stamps Puzzle