By Henry E. Dudeney, Martin Gardner
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 growing witty and compelling conundrums.
This treasury of fascinating puzzles starts off with a variety of arithmetical and algebraical difficulties, together with demanding situations regarding cash, time, velocity, and distance. Geometrical difficulties stick with, besides combinatorial and topological difficulties that characteristic 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. recommendations for all 536 difficulties are incorporated, and captivating drawings liven up the e-book.
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Additional resources for 536 Curious Problems and Puzzles
137. EXPRESSING TWENTY-FOUR In a book published in America was the following: "Write 24 with three equal digits, none of which is 8. )" The answers given are 22 + 2 = 24, and 33 - 3 = 24. Readers familiar with the old "Four Fours" puzzle, and others of the same class, will ask why there are supposed to be only these solutions. With which of the remaining digits is a solution equally possible? 138. THE NINE BARRELS In how many different ways may these nine barrels be arranged in three tiers of three so that no barrel shall have a smaller number than its own below it or to the right of it?
AN EXCEPTIONAL NUMBER A number is formed of five successive digits (not necessarily in regular order) so that the number formed by the first two multiplied by the central digit will produce the number expressed by the last two. Thus, if it were 1 2 8 9 6, then 12 multiplied by 8 produces 96. But, unfortunately, I, 2, 6, 8, 9 are not successive numbers, so it will not do. 103. THE FIVE CARDS I have five cards bearing the figures I, 3, 5, 7, and 9. How can I arrange them in a row so that the number formed by the first pair multiplied by the number formed by the last pair, with the central number subtracted, will produce a number composed of repetitions of one figure?
THE TWO DIGITS Write down any two-figure number (different figures and no 0) and then express that number by writing the same figures in reverse order, with or without arithmetical signs. For example, 45 = 5 X 9 would be correct if only the 9 had happened to be a 4. Or SI = (I + S)2 would do, except for the fact that it introduces a third figure-the 2. 111. DIGITAL COINCIDENCES If! multiply, and also add, 9 and 9, I get SI and IS, which contain the same figures. If I multiply and add 2 and 47, I get 94 and 49-the same figures.
536 Curious Problems and Puzzles by Henry E. Dudeney, Martin Gardner