By Henry Ernest, Dudeney

For 2 many years, self-taught mathematician Henry E. Dudeney wrote a puzzle web page, "Perplexities," for *The Strand Magazine.* Martin Gardner, longtime editor of *Scientific American*'s mathematical video games column, hailed Dudeney as "England's maximum maker of puzzles," unsurpassed within the volume and caliber of his innovations. This compilation of Dudeney's long-inaccessible demanding situations attests to the puzzle-maker's present for developing witty and compelling conundrums.

This treasury of interesting puzzles starts with a variety of arithmetical and algebraical difficulties, together with demanding situations related to funds, time, velocity, and distance. Geometrical difficulties stick to, besides combinatorial and topological difficulties that function magic squares and stars, path and community puzzles, and map coloring puzzles. the gathering concludes with a sequence of online game, domino, fit, and unclassified puzzles. options for all 536 difficulties are integrated, and fascinating drawings brighten up the publication.

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**Extra resources for 536 Puzzles and Curious Problems**

**Example text**

What was their best way of arranging their distances? As their walking and riding speeds were the same, it is extremely easy. Simply divide the route into any even number of equal stages and drop the bicycle at every stage, using the cyclometer. Each man would then walk half way and ride half way. But here is a case that will require a little more thought. Anderson and Brown have to go twenty miles and arrive at exactly the same time. They have only one bicycle. Anderson can only walk four miles an hour, while Brown can walk five miles an hour, but Anderson can ride ten miles an hour to Brown's eight miles an hour.

118. A DIGITAL DIFFICULTY Arrange the ten digits, 1 2 3 4 5 678 9 0, in such order that they shall form a number that may be divided by every number from 2 to 18 without in any case a remainder. As an example, if I arrange them thus, 1 2 7 4 9 5 3 6 8 0, this number can be divided by 2, 3,4, 5, and so on up to 16, without any remainder, but it breaks down at 17. 119. THREES AND SEVENS What is the smallest number composed only of the digits 3 and 7 that may be divided by 3 and by 7, and also the sum of its digits by 3 and by 7, without any remainder?

Can you find it? 114. FIND THE FACTORS Find two whole numbers with the smallest possible difference between them which, when multiplied together, will produce 1234567890. 115. DIVIDING BY ELEVEN If the nine digits are written at haphazard in any order, for example, 4 1 2 5 3 97 6 8, what are the chances that the number that happens to be produced will be divisible by 11 without remainder? The number I have written at random is not, I see, so divisible, but if I had happened to make the 1 and the 8 change places it would be.

### 536 Puzzles and Curious Problems by Henry Ernest, Dudeney

by Brian

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