by Dudeney, Henry Ernest, 1857-1930
Available in 215 free installments
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30. PtoR4 Q(Kt8)toKt3
31. PtoR5 KtoB8
32. P takes Q KtoQ8
33. P takes Q KtoK8
34. KtoB7 KttoKR3,ch
35. K to K 8 B to R 7
36. PtoB6 BtoKtsq
37. PtoB7 K takes B
38. P to B 8(B) KttoQ4
39. BtoKt8 KttoB3,ch
40. KtoQ8 KttoKsq
41. P takes Kt(R) KttoB2,ch
42. KtoB7 KttoQsq
43. QtoB7,ch KtoKt8
And the position is reached.
The order of the moves is immaterial, and this order may be greatly varied. But, although many attempts have p 9 235 been made, nobody has succeeded in reducing the number of my moves.
362.?THE WASSAIL BOWL.? solution
The division of the twelve pints of ale can be made in eleven manipulations, as below. The six columns show at a glance the quantity of ale in the barrel, the five-pint jug, the three-pint jug, and the tramps X, Y and Z respectively after each manipulation.
Barrel.
7 7 7 7 4 0 0 0 0 0 0
And each man has received his four pints of ale.
z.
0 0 0 0 0 0 0
1 1 1
4
363.?THE DOCTOR'S QUERY? solution
The mixture of spirits of wine and water is in the proportion of 40 to 1, just as in the other bottle it was in the proportion of 1 to 40.
364.?THE BARREL PUZZLE.? solution
All that is necessary is to tilt the barrel as in Fig. 1, and if the edge of the surface of the water exactly touches the lip a at the same time that it touches the edge of the bottom b, it will be just half full. To be more exact, if the bottom is an inch or so from the ground, then we can allow for that, and the thickness of the bottom, at the top. If when the surface of the water reached the lip a it had risen to the point c in Fig. 2, then it would be more than half full. If, as in Fig. 3, some portion of the bottom were visible and the level of the water fell to the point d, then it would be less than half full.
This method applies to all symmetrically constructed vessels.
365.?NEW MEASURING PUZZLE.? solution
The following solution in eleven manipulations shows the contents of every vessel at the start and after every manipulation:?
366.?THE HONEST DAIRYMAN.? solution
Whatever the respective quantities of milk and water, the relative proportion sent to London would always be three parts of water to one of milk. But there are one or two points to be observed. There must originally be more water than milk, or there will be no water in A to double in the second transaction. And the water must not be more than three times the quantity of milk, or there will not be enough liquid in B to effect the second transaction. The third transaction has no effect on A, as the relative proportions in it must be the same as after the second transaction. It was introduced to prevent a quibble if the quantity of milk and water were originally the same; for though double "nothing" would be "nothing," yet the third transaction in such a case could not take place.
367.?WINE AND WATER.? solution
The wine in small glass was one-sixth of the total liquid, and the wine in large glass two-ninths of total. Add these together, and we find that the wine was seven-eighteenths of total fluid, and therefore the water eleven-eighteenths.
368.?THE KEG OF WINE.? solution
The capacity of the jug must have been a little less than three gallons. To be more exact, it was 2.93 gallons.
369.?MIXING THE TEA.? solution
There are three ways of mixing the teas. Taking them in the order of quality, 2s. 6c/., 2s. 3d, 1s. 9p., mix 16 lbs., 1 lb., 3 lbs.; or 14 lbs., 4 lbs., 2 lbs.; or 12 lbs., 7 lbs., 1 lb. In every case the twenty pounds mixture should be worth 2s. 4 1 /4c/. per pound; but the last case requires the smallest quantity of the best tea, therefore it is the correct answer.
370
PACKING PUZZLE.? solution
On the side of the box, 14 by22 4 / 5 , we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all. Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78. In the length of 24 9 A|q inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls. Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.
Pg236
371.?GOLD PACKING IN RUSSIA.? solution
