536 Puzzles and Curious Problems

348 Answers in the order shown in Figure II, where you go round in a clockwise direction, starting with I and jumping over a dis ...

Answers 349 Let us confine our attention to solutions with ten different positive whole numbers. Then 24 is the smallest possibl ...

350 Answers must equal the sum of the triangle DEF. This sum may be anything from 12 to 27 inclusive, except 14 and 25, which ar ...

Answers 351 THE SEVEN-POINTED STAR Place 5 at the top point, as indicated in diagram. Then let the four numbers in the horizon ...

352 Answers TWO EIGHT-POINTED STARS The illustration is the required solution. Every line of four numbers adds up 34. If you n ...

the pentagon), and then deal the 6, 7, 8, 9, 10 in the opposite direction, as shown, taking care to start with the 6 on the corr ...

354 Answers ROSES, SHAMROCKS, AND THISTLES It is clear that the sum obtained in the different ways must be 26. Here is one of m ...

Answers 355 AT THE BROOK A B 15 16 15 16 0 16* 15 5* *15 0 0 11 15 1* 0 5 0 15 15 11 0 I 5 0 15 15 *10 16 0 5 16 *14 16 10 0 1 ...

356 Answers ures 9 and 16, under A we should get the order 7, 14,5, 12,3, etc., a cyclical difference of 7 (since 16 - 9 = 7). A ...

Answers 357 WATER MEASUREMENT Two pints may be measured in fourteen transactions as below, where the vessels above the line ar ...

358 Answers [Victor Meally has found a better solution that requires only five transac- tions: 8 0 11 5 8 11 0 5 8 I3 3 0 8 8 3 ...

Answers 359 in eighteen moves. It is absolutely necessary to include the stage marked "Irish Sea" in order to perform the journe ...

360 Answers EH and CF dotted lines instead of CD and GH. Having fixed our four shortest lines, the remainder may all be drawn in ...

Answers 361 outside (say in the position indicated by one of the black crosses) the gas can never reach you without crossing a p ...

362 Answers spaces A, B, C, D, E to mere points, and representing the bridges that connect these spaces by lines or roads. This ...

Answers 363 and also Band C, you get Figure 3; if you link A and C, and also Band D, you get Figure 4. In each case Band D are " ...

364 Answers SINKING THE FISHING-BOATS The diagram shows how the warship sinks all the forty-nine boats in twelve straight cour ...

Answers 365 in Sam Loyd's Cyclopedia of Puzzles as the solution to his Presidential Puz- zle on page 293. Loyd says he first gav ...

366 Answers figure I, as shown. Now take the second column, and you will find that there are three ways of going to the second p ...

Answers 367 THE TWENTY-TWO BRIDGES It will be found that every department has an even number (2,4, or 6) of bridges leading fr ...