Part 43

Nobody succeeded in solving the puzzle, so I had to let the cat out of the bag--an operation that was dimly foreshadowed by the puss in the original illustration. But I first reminded the reader that this puzzle appeared on April 1, a day on which none of us ever resents being made an "April Fool;" though, as I practically "gave the thing away" by specially drawing attention to the fact that it was All Fools' Day, it was quite remarkable that my correspondents, without a single exception, fell into the trap.

One large body of correspondents held that what the cook loses in stride is exactly made up in greater speed; consequently both advance at the same rate, and the result must be a tie. But another considerable section saw that, though this might be so in a race 200 ft. straight away, it could not really be, because they each go a stated distance at "every bound," and as 100 is not an exact multiple of 3, the gardener at his thirty-fourth bound will go 2 ft. beyond the mark. The gardener will, therefore, run to a point 102 ft. straight away and return (204 ft. in all), and so lose by 4 ft. This point certainly comes into the puzzle. But the most important fact of all is this, that it so happens that the gardener was a pupil from the Horticultural College for Lady Gardeners at, if I remember aright, Swanley; while the cook was a very accomplished French chef of the hemale persuasion! Therefore "she (the gardener) made three bounds to his (the cook's) two." It will now be found that while the gardener is running her 204 ft. in 68 bounds of 3 ft., the somewhat infirm old cook can only make 45+1/3 of his 2 ft. bounds, which equals 90 ft. 8 in. The result is that the lady gardener wins the race by 109 ft. 4 in. at a moment when the cook is in the air, one-third through his 46th bound.

The moral of this puzzle is twofold: (1) Never take things for granted in attempting to solve puzzles; (2) always remember All Fools' Day when it comes round. I was not writing of _any_ gardener and cook, but of a _particular_ couple, in "a race that I witnessed." The statement of the eye-witness must therefore be accepted: as the reader was not there, he cannot contradict it. Of course the information supplied was insufficient, but the correct reply was: "Assuming the gardener to be the 'he,' the cook wins by 4 ft.; but if the gardener is the 'she,' then the gardener wins by 109 ft. 4 in." This would have won the prize. Curiously enough, one solitary competitor got on to the right track, but failed to follow it up. He said: "Is this a regular April 1 catch, meaning that they only ran 6 ft. each, and consequently the race was unfinished? If not, I think the following must be the solution, supposing the gardener to be the 'he' and the cook the 'she.'" Though his solution was wrong even in the case he supposed, yet he was the only person who suspected the question of sex.

429.--PLACING HALFPENNIES.

Thirteen coins may be placed as shown on page 252.

430.--FIND THE MAN'S WIFE.

There is no guessing required in this puzzle. It is all a question of elimination. If we can pair off any five of the ladies with their respective husbands, other than husband No. 10, then the remaining lady must be No. 10's wife.

[Illustration: PLACING HALFPENNIES.]

I will show how this may be done. No. 8 is seen carrying a lady's parasol in the same hand with his walking-stick. But every lady is provided with a parasol, except No. 3; therefore No. 3 may be safely said to be the wife of No. 8. Then No. 12 is holding a bicycle, and the dress-guard and make disclose the fact that it is a lady's bicycle. The only lady in a cycling skirt is No. 5; therefore we conclude that No. 5 is No. 12's wife. Next, the man No. 6 has a dog, and lady No. 11 is seen carrying a dog chain. So we may safely pair No. 6 with No. 11. Then we see that man No. 2 is paying a newsboy for a paper. But we do not pay for newspapers in this way before receiving them, and the gentleman has apparently not taken one from the boy. But lady No. 9 is seen reading a paper. The inference is obvious--that she has sent the boy to her husband for a penny. We therefore pair No. 2 with No. 9. We have now disposed of all the ladies except Nos. 1 and 7, and of all the men except Nos. 4 and 10. On looking at No. 4 we find that he is carrying a coat over his arm, and that the buttons are on the left side;--not on the right, as a man wears them. So it is a lady's coat. But the coat clearly does not belong to No. 1, as she is seen to be wearing a coat already, while No. 7 lady is very lightly clad. We therefore pair No. 7 lady with man No. 4. Now the only lady left is No. 1, and we are consequently forced to the conclusion that she is the wife of No. 10. This is therefore the correct answer.

INDEX.

Abbot's Puzzle, The, 20, 161. ---- Window, The, 87, 213.

Academic Courtesies, 18, 160.

Acrostic Puzzle, An, 84, 210.

Adam and Eve and the Apples, 18.

Aeroplanes, The Two, 2, 148.

Age and Kinship Puzzles, 6. ---- Concerning Tommy's, 7, 153. ---- Mamma's, 7, 152. ---- Mrs. Timpkins's, 7, 152. ---- Rover's, 7, 152.

Ages, The Family, 7, 152. ---- Their, 7, 152.

Alcuin, Abbot, 20, 112.

Almonds, The Nine, 64, 195.

Amazons, The, 94, 221.

Andrews, W.S., 125.

Apples, A Deal in, 3, 149. ---- Buying, 6, 151. ---- The Ten, 64, 195.

Approximations in Dissection, 28.

Arithmetical and Algebraical Problems, 1. ---- Various, 17.

Arthur's Knights, King, 77, 203.

Artillerymen's Dilemma, 26, 167.

Asparagus, Bundles of, 140.

Aspects all due South, 137.

Associated Magic Squares, 120.

Axiom, A Puzzling, 138.

Bachet de Méziriac, 90, 109, 112.

Bachet's Square, 90, 216.

Ball Problem, The, 51, 183.

Ball, W.W. Rouse, 109, 204, 248.

Balls, The Glass, 78, 204.

Banker's Puzzle, The, 25, 165.

Bank Holiday Puzzle, A, 73, 201.

Banner Puzzle, The, 46, 179. ---- St. George's, 50, 182.

Barrel Puzzle, The, 109, 235.

Barrels of Balsam, The, 82, 208.

Beanfeast Puzzle, A, 2, 148.

Beef and Sausages, 3, 149.

Beer, The Barrel of, 13, 155.

Bell-ropes, Stealing the, 49, 181.

Bells, The Peal of, 78, 204.

Bergholt, E., 116, 119, 125.

Betsy Ross Puzzle, The, 40, 176.

Bicycle Thief, The, 6, 152.

Bishops--Guarded, 88, 214. ---- in Convocation, 89, 215. ---- Puzzle, A New, 98, 225. ---- Unguarded, 88, 214.

Board, The Chess-, 85. ---- in Compartments, The, 102, 228. ---- Setting the, 105, 231.

Boards with Odd Number of Squares, 86, 212.

Boat, Three Men in a, 78, 204.

Bookworm, The Industrious, 143, 248.

Boothby, Guy, 154.

Box, The Cardboard, 49, 181. ---- The Paper, 40.

Boys and Girls, 67, 197.

Bridges, The Monk and the, 75, 202.

Brigands, The Five, 25, 164.

Brocade, The Squares of, 47, 180.

Bun Puzzle, The, 35, 170.

Busschop, Paul, 172.

Buttons and String Method, 230.

Cab Numbers, The, 15, 157.

Calendar Puzzle, A, 142, 247.

_Canterbury Puzzles, The_, 14, 28, 58, 117, 121, 195, 202, 205, 206, 212, 213, 217, 233.

Card Frame Puzzle, The, 114, 238. ---- Magic Squares, 123, 244. ---- Players, A Puzzle for, 78, 203. ---- Puzzle, The "T," 115, 239. ---- Triangles, 115, 239.

Cards, The Cross of, 115, 238.

Cardan, 142.

Carroll, Lewis, 43.

Castle Treasure, Stealing the, 113, 237.

Cats, the Wizard's, 42, 178.

Cattle, Judkins's, 6, 151. ---- Market, At a, 1, 148.

Census Puzzle, A, 7, 152.

Century Puzzle, The, 16, 158. ---- The Digital, 16, 159.

Chain Puzzle, A, 144, 249. ---- The Antiquary's, 83, 209. ---- The Cardboard, 40, 176.

Change, Giving, 4, 150. ---- Ways of giving, 151.

Changing Places, 10, 154.

Channel Island, 138.

Charitable Bequest, A, 2, 148

Charity, Indiscriminate, 2, 148.

Checkmate, 107, 233.

Cheesemonger, The Eccentric, 66, 196.

Chequered Board Divisions, 85, 210.

Cherries and Plums, 56, 189.

Chess Puzzles, Dynamical, 96. ---- Statical, 88. ---- Various, 105. ---- Queer, 107, 233.

Chessboard, The, 85. ---- Fallacy, A, 141, 247. ---- Guarded, 95. ---- Non-attacking Arrangements, 96. ---- Problems, 84. ---- Sentence, The, 87, 214. ---- Solitaire, 108, 234. ---- The Chinese, 87, 213. ---- The Crowded, 91, 217.

Chestnuts, Buying, 6, 152.

Chinese Money, 4, 150. ---- Puzzle, Ancient, 107, 233. ---- ---- _The Fashionable_, 43.

Christmas Boxes, The, 4, 150. ---- Present, Mrs. Smiley's, 46, 179. ---- Pudding, The, 43, 178.

Cigar Puzzle, The, 119, 242.

Circle, The Dissected, 69, 197.

Cisterns, How to Make, 54, 188.

Civil Service "Howler," 154.

Clare, John, 58.

Clock Formulæ, 154. ---- Puzzles, 9. ---- The Club, 10, 154. ---- The Railway Station, 11, 155.

Clocks, The Three, 11, 154.

Clothes Line Puzzle, The, 50, 182.

Coast, Round the, 63, 195.

Coincidence, A Queer, 2, 148.

Coins, The Broken, 5, 150. ---- The Ten, 57, 190. ---- Two Ancient, 140.

Combination and Group Problems, 76.

Compasses Puzzle, The, 53, 186.

Composite Magic Squares, 127, 246.

Cone Puzzle, The, 55, 188.

Corn, Reaping the, 20, 161.

Cornfields, Farmer Lawrence's, 101, 227.

Costermonger's Puzzle, The, 6, 152.

Counter Problems, Moving, 58. ---- Puzzle, A New, 98, 225. ---- Solitaire, 107, 234.

Counters, The Coloured, 91, 217. ---- The Forty-nine, 92, 217. ---- The Nine, 14, 156. ---- The Ten, 15, 156.

Crescent Puzzle, The, 52, 184.

Crescents of Byzantium, The Five, 92, 219.

Cricket Match, The Village, 116, 239. ---- Slow, 116, 239.

Cross and Triangle, 35, 169. ---- of Cards, 115, 238. ---- The Folded, 35, 169. ---- The Southern, 93, 220.

Crosses, Counter, 81, 207. ---- from One, Two, 35, 168. ---- ---- Three, 169.

Crossing River Problems, 112.

Crusader, The, 106, 232.

Cubes, Sums of, 165.

Cushion Covers, The, 46, 179.

Cutting-out Puzzle, A, 37, 172.

Cyclists' Feast, The, 2, 148.

Dairyman, The Honest, 110, 235.

Definition, A Question of, 23, 163.

De Fonteney, 112.

Deified Puzzle, The, 74, 202.

Delannoy, 112.

De Morgan, A., 27.

De Tudor, Sir Edwyn, 12, 155.

Diabolique Magic Squares, 120.

Diamond Puzzle, The, 74, 202.

Dice, A Trick with, 116, 239. ---- Game, The Montenegrin, 119, 242. ---- Numbers, The, 17, 160.

Die, Painting the, 84, 210,

Digital Analysis, 157, 158. ---- Division, 16, 158. ---- Multiplication, 15, 156. ---- Puzzles, 13.

Digits, Adding the, 16, 158. ---- and Squares, 14, 155. ---- Odd and Even, 14, 156.

Dilemma, An Amazing, 106, 233.

Diophantine Problem, 164.

Dissection Puzzle, An Easy, 35, 170. ---- Puzzles, 27. ---- ---- Various, 35.

Dividing Magic Squares, 124.

Division, Digital, 16, 158. ---- Simple, 23, 163.

Doctor's Query, The, 109, 235.

Dogs Puzzle, The Five, 92, 218.

Domestic Economy, 5, 151.

Domino Frame Puzzle, The, 114, 238.

Dominoes in Progression, 114, 237. ---- The Eighteen, 123, 245. ---- The Fifteen, 83, 209. ---- The Five, 114, 238.

Donkey Riding, 13, 155.

Dormitory Puzzle, A, 81, 208.

Dovetailed Block, The, 145, 249.

Drayton's _Polyolbion_, 58.

Dungeon Puzzle, A, 97, 224.

Dungeons, The Siberian, 123, 244. ---- The Spanish, 122, 244.

Dutchmen's Wives, The, 26, 167.

Dynamical Chess Puzzles, 96.

Earth's Girdle, The, 139.

_Educational Times Reprints_, 204.

Eggs, A Deal in, 3, 149. ---- Obtaining the, 140.

Election, The Muddletown, 19, 161. ---- The Parish Council, 19, 161.

Eleven, The Mystic, 16, 159.

Elopements, The Four, 113, 237.

Elrick, E., 231.

Engines, The Eight, 61, 194.

Episcopal Visitation, An, 98, 225.

Estate, Farmer Wurzel's, 51, 184.

Estates, The Yorkshire, 51, 183.

Euclid, 31, 138.

Euler, L., 165.

Exchange Puzzle, The, 66, 196.

Fallacy, A Chessboard, 141, 247.

Family Party, A, 8, 153.

Fare, The Passenger's, 13, 155.

Farmer and his Sheep, The, 22, 163.

Fence Problem, A, 21, 162.

Fences, The Landowner's, 42, 178.

Fermat, 164, 168.

Find the Man's Wife, 147, 251.

Fly on the Octahedron, The, 70, 198.

Fog, Mr. Gubbins in a, 18, 161.

Football Players, The, 116, 240.

Fraction, A Puzzling, 138.

Fractions, More Mixed, 16, 159.

Frame Puzzle, The Card, 114, 238. ---- ---- The Domino, 114, 238.

Frankenstein, E.N., 232.

Frénicle, B., 119, 168.

Frogs, The Educated, 59, 194- ---- The Four, 103, 229. ---- The Six, 59, 193.

Frost, A.H., 120.

Games, Puzzle, 117. ---- Problems concerning, 114.

Garden, Lady Belinda's, 52, 186. ---- Puzzle, The, 49, 182.

Gardener and the Cook, The, 146, 251.

Geometrical Problems, 27. ---- Puzzles, Various, 49.

George and the Dragon, St., 101, 227.

Getting Upstairs, Such a, 143, 248.

Girdle, the Earth's, 139.

Goat, The Tethered, 53, 186.

Grand Lama's Problem, The, 86, 212.

Grasshopper Puzzle, The, 59, 193.

Greek Cross Puzzles, 28. ---- ---- Three from One, 169.

Greyhound Puzzle, The, 101, 227.

Grocer and Draper, The, 5, 151.

Gros, L., 248.

Group Problems, Combination and, 76.

Groups, The Three, 14, 156.

Guarini, 229.

Hairdresser's Puzzle, The, 137.

Halfpennies, Placing, 147, 251.

Hampton Court Maze solved, 133.

Hannah's Puzzle, 75, 202.

Hastings, The Battle of, 23, 164.

Hatfield Maze solved, 136.

Hat Puzzle, The, 67, 196.

Hat-peg Puzzle, The, 93, 221.

Hats, The Wrong, 78, 203.

Hay, The Trusses of, 18, 161.

Heads or Tails, 22, 163.

Hearthrug, Mrs. Hobson's, 37, 172.

Helmholtz, Von, 41.

Honey, The Barrels of, 111, 236.

Honeycomb Puzzle, The, 75, 202.

Horse Race Puzzle, The, 117, 240.

Horseshoes, The Two, 40, 175.

Houdin, 68.

Hydroplane Question, The, 12, 155.

Hymn-board Poser, The, 145, 250.

Icosahedron Puzzle, The, 70, 198.

Jack and the Beanstalk, 145, 249.

Jackson, John, 56.

Jaenisch, C.F. de, 92.

Jampots, Arranging the, 68, 197.

Jealous Husbands, Five, 113, 236.

Joiner's Problem, The, 36, 171. ---- ---- Another, 37, 171.

Jolly Gaol-Birds, Eight, 122, 243. ---- ---- Nine, 122, 243.

Journey, The Queen's, 100, 227. ---- The Rook's, 96, 224.

Junior Clerks' Puzzle, The, 4, 150.

Juvenile Puzzle, A, 68, 197.

Kangaroos, The Four, 102, 228.

Kelvin, Lord, 41.

Kennel Puzzle, The, 105, 231.

King and the Castles, The, 56, 189. ---- The Forsaken, 106, 232.

Kite-flying Puzzle, A, 54, 187.

Knight-guards, The, 95, 222.

Knights, King Arthur's, 77, 203. ---- Tour, Magic, 127, 247. ---- ---- The Cubic, 103, 229. ---- ---- The Four, 103, 229.

Labosne, A., 25, 90, 216.

Labourer's Puzzle, The, 18, 160.

_Ladies' Diary_, 26.

Lagrange, J.L., 9.

Laisant, C.A., 76.

Lamp-posts, Painting the, 19, 161.

Leap Year, 155. ---- ---- Ladies, The, 19, 161.

Legacy, A Puzzling, 20, 161.

Legal Difficulty, A, 23, 163.

Le Plongeon, Dr., 29.

Letter Block Puzzle, The, 60, 194. ---- Blocks, The Thirty-six, 91, 216. ---- Puzzle, The Fifteen, 79, 205.

Level Puzzle, The, 74, 202.

Linoleum Cutting, 48, 181. ---- Puzzle, Another, 49, 181.

Lion and the Man, The, 97, 224. ---- Hunting, 94, 222.

Lions and Crowns, 85, 212. ---- The Four, 88, 214.

Lockers Puzzle, The, 14, 156.

Locomotion and Speed Puzzles, 11.

Lodging-house Difficulty, A, 61, 194.

London and Wise, 131.

Loyd, Sam, 8, 43, 44, 98, 144, 232, 233.

Lucas, Edouard, 16, 76, 112, 121.

Luncheons, The City, 77, 203.

MacMahon, Major, 109.

Magic Knight's Tour, 127, 247. ---- Square Problems, 119. ---- ---- Card, 123, 244. ---- ---- of Composites, 127, 246. ---- ---- of Primes, 125. ---- ---- of Two Degrees, 125, 245. ---- ---- Two New, 125, 245. ---- Strips, 121, 243.

Magics, Subtracting, Multiplying, and Dividing, 124.

Maiden, The Languishing, 97, 224.

Mandarin's Puzzle, The, 103, 230. ---- "T" Puzzle, The, 126, 246.

Marketing, Saturday, 27, 168.

Market Women, The, 3, 149.

Mary and Marmaduke, 7, 152.

Mary, How Old was, 8, 153.

Massacre of Innocents, 139.

Match Mystery, A, 118, 241. ---- Puzzle, A New, 55, 188.

Mates, Thirty-six, 106, 233.

Mazes and how to thread Them, 127.

Measuring, Weighing, and Packing Puzzles, 109. ---- Puzzle, New, 110, 235.

Meeting, The Suffragists', 19, 161.

Mellor, W.M.F., 242.

Ménages, Problême de, 76.

Mersenne, M., 168.

Mice, Catching the, 65, 196.

Milkmaid Puzzle, The, 50, 183.

Millionaire's Perplexity, The, 3, 149.

Mince Pies, The Twelve, 57, 191.

Mine, Inspecting a, 71, 199.

Miners' Holiday, The, 23, 163.

Miser, The Converted, 21, 162.

Mitre, Dissecting a, 35, 170.

Monad, The Great, 39, 174.

Money, A Queer Thing in, 2, 148. ---- Boxes, The Puzzling, 3, 149. ----, Pocket, 3, 149. ---- Puzzles, 1. ---- Puzzle, A New, 2, 148. ----, Square, 3, 149.

_Monist, The_, 125.

Monk and the Bridges, The, 75, 202.

Monstrosity, The, 108, 234.

Montenegrin Dice Game, The, 119, 242.

Moreau, 76.

Morris, Nine Men's, 58.

Mosaics, A Problem in, 90, 215.

Mother and Daughter, 7, 152.

Motor-car Race, The, 117, 240. ---- Tour, The, 74, 201. ---- Garage Puzzle, The, 62, 195.

Motorists, A Puzzle for, 73, 201.

Mouse-trap Puzzle, The, 80, 206.

Moving Counter Problems, 58.

Multiplication, Digital, 15, 156. ---- Queer, 15, 157. ---- Simple, 23, 163.

Multiplying Magic Squares, 124.

Muncey, J.N., 125.

Murray, Sir James, 44.

Napoleon, 43, 44.

Nasik Magic Squares, 120.

Neighbours, Next-Door, 8, 153.

Newton, Sir Isaac, 56.

Nine Men's Morris, 58.

Notation, Scales of, 149.

Noughts and Crosses, 58, 117.

_Nouvelles Annales de Mathématiques_, 14.

Number Checks Puzzle, The, 16, 158.

Numbers, Curious, 20, 162.

Nuts, The Bag of, 8, 153.

Observation, Defective, 4, 150.

Octahedron, The Fly on the, 70, 198.

Oval, How to draw an, 50, 182.

Ovid's Game, 58.

Packing in Russia, Gold, 111, 236. ---- Puzzles, Measuring, Weighing, and, 109. ---- Puzzle, A, 111, 236.

Pandiagonal Magic Squares, 120.

Papa's Puzzle, 53, 187.

Pappus, 53.

Paradox Party, The, 137.

Party, A Family, 8, 153.

Patchwork Puzzles, 46. ---- Puzzle, Another, 48, 180. ---- The Silk, 34, 168.

Patience, _Strand_, 116, 239.

Pawns, A Puzzle with, 94, 222. ---- Immovable, 106, 233. ---- The Six, 107, 233. ---- The Two, 105, 231.

Pearls, The Thirty-three, 18, 160.

Pebble Game, The, 117, 240.

Pedigree, A Mixed, 8, 153.

Pellian Equation, 164, 167.

Pennies, The Five, 143, 248. ---- The Twelve, 65, 195.

Pension, Drawing her, 12, 155.

Pentagon and Square, The, 37, 172. ---- Drawing a, 37.

Pfeffermann, M., 125.

Pheasant-Shooting, 146, 251.

Philadelphia Maze solved, 137.

Pierrot's Puzzle, The, 15, 156.

Pigs, The Seven, 41, 177.

Planck, C., 220, 246.

Plane Paradox, 138.

Plantation Puzzle, A, 57, 189. ---- The Burmese, 58, 191.

Plates and Coins, 65, 195.

Plums, The Baskets of, 126, 245.

Poe, E.A., 249.

Points and Lines Problems, 56.

Postage Stamps, The Four, 84, 210.

Post-Office Perplexity, A, 1, 148.

Potato Puzzle, The, 41, 177.

Potatoes, The Basket of, 13, 155.

Precocious Baby, The, 139.

Presents, Buying, 2, 148.

Prime Magic Squares, 125.

Printer's Error, A, 20, 162.

Prisoners, Exercise for, 104, 230. ---- The Ten, 62, 195.

Probabilities, Two Questions in, 5, 150.

Problems concerning Games, 114.

Puss in the Corner, 118, 240.

Puzzle Games, 117.

Pyramid, Painting a, 83, 208.

Pyramids, Square and Triangular, 167.

Pythagoras, 31.

"Queen, The," 120.

Queens and Bishop Puzzle, 93, 219. ---- The Eight, 89, 215.

Queen's Journey, The, 100, 227. ---- Tour, The, 98, 225.

Quilt, Mrs. Perkins's, 47, 180.

Race Puzzle, The Horse-, 117, 240. ---- The Motor-car, 117, 240.

Rackbrane's Little Loss, 21, 163.

Railway Muddle, A, 62, 194. ---- Puzzle, A, 61, 194. ---- Stations, The Three, 49, 182.

_Rational Amusement for Winter Evenings_, 56.

Rectangles, Counting the, 105, 232.

Reiss, M., 58.

Relationships, Queer, 8, 153.

Reversals, A Puzzle in, 5, 151.

River Axe, Crossing the, 112, 236.

River Problems, Crossing, 112.

Rookery, The, 105, 232.

Rook's Journey, The, 96, 224. ---- Tour, The, 96, 223.

Rooks, The Eight, 88, 214. ---- The Two, 117, 240.

Round Table, The, 80, 205.

Route Problems, Unicursal and, 68.

Ruby Brooch, The, 144, 249.

Sabbath Puzzle, The, 144, 249.

Sailor's Puzzle, The, 71, 199.

Sayles, H.A., 125.

Schoolboys, The Nine, 80, 205.

Schoolgirls, The Fifteen, 80, 204.

Scramble, The Great, 19, 161.

Sculptor's Problem, The, 23, 164.

Second Day of Week, 139.

See-Saw Puzzle, The, 22, 163.

Semi-Nasik Magic Squares, 120.

Senior and Junior, 140.

Sevens, The Four, 17, 160.

Sharp's Puzzle, 230.

Sheepfold, The, 52, 184.

Sheep Pens, The Six, 55, 189. ---- The Sixteen, 80, 206. ---- The Three, 92, 217. ---- Those Fifteen, 77, 203.

Shopping Perplexity, A, 4, 150.

Shuldham, C.D., 125, 126.

Siberian Dungeons, The, 123, 244.

Simpleton, The Village, 11, 155.

Skater, The Scientific, 100, 226.

Skeat, Professor, 127.

Solitaire, Central, 63, 195. ---- Chessboard, 108, 234. ---- Counter, 107, 234.

Sons, The Four, 49, 181.

Spanish Dungeons, The, 122, 244. ---- Miser, The, 24, 164.

Speed and Locomotion Puzzles, 11. ---- Average, 11, 155.

Spiral, Drawing a, 50, 182.

Spot on the Table, The, 17, 160.

Square Numbers, Check for, 13. ---- ---- Digital, 16, 159. ---- of Veneer, The, 39, 175. ---- Puzzle, An Easy, 35, 170.

Squares, A Problem in, 23, 163. ---- Circling the, 21, 162. ---- Difference of Two, 167. ---- Magic, 119. ---- Sum of Two, 165, 175. ---- The Chocolate, 35, 170.

Stalemate, 106, 232.

Stamp-licking, The Gentle Art of, 91, 217.

Star Puzzle, The, 99, 226.

Stars, The Eight, 89, 215. ---- The Forty-nine, 100, 226.

Statical Chess Puzzles, 88.

Sticks, The Eight, 53, 186.

Stonemason's Problem, The, 25, 165.

Stop-watch, The, 11, 154.

_Strand Magazine, The_, 44, 116, 220.

_Strand_ Patience, 116, 239.

Stream, Crossing the, 112, 236.

Strutt, Joseph, 59.

Subtracting Magic Squares, 124.

Sultan's Army, The, 25, 165.

Suppers, The New Year's Eve, 3, 149.

Surname, Find Ada's, 27, 168.

Swastika, The, 29, 31, 169.

"T" Card Puzzle, The, 115, 239.

Table, The Round, 80, 205.

Table-top and Stools, The, 38, 173.

Tangram Paradox, A, 43, 178.

Target, The Cross, 84, 210.

Tarry, 112.

Tartaglia, 25, 109, 112.

Tea, Mixing the, 111, 235.

Telegraph Posts, The, 139.

Tennis Tournament, A, 78, 203.

Tetrahedron, Building the, 82, 208.

Thief, Catching the, 19, 161.

Thrift, A Study in, 25, 166.

Thompson, W.H., 232.

Ticket Puzzle, The Excursion, 5, 151.

Time Puzzle, A, 10, 153. ---- What was the, 10, 153.

Tiring Irons, The, 142, 247.

_Tit-Bits_, 58, 79, 124, 251.

Torn Number, The, 20, 162.

Torpedo Practice, 67, 196.

Tour, The Cyclists', 71, 199. ---- The Grand, 72, 200. ---- The Queen's, 98, 225. ---- The Rook's, 96, 223.

Towns, Visiting the, 70, 198.

Trains, The Two, 11, 155.

Treasure Boxes, The Nine, 24, 164.

Trees, The Twenty-one, 57, 190.

Trémaux, M., 133, 135.

Triangle, The Dissected, 38, 173.

Triangular Numbers, 13, 25, 166. ---- ---- Check for, 13.

Troublesome Eight, The, 121, 242.

Tube Inspector's Puzzle, The, 69, 198. ---- Railway, Heard on the, 8, 153.

Turks and Russians, 58, 191.

Turnings, The Fifteen, 70, 198.

Twickenham Puzzle, The, 60, 194.

Two Pieces Problem, The, 96.

Unclassified Puzzles, 142.

Unicursal and Route Problems, 68.

Union Jack, The, 50, 69, 197.

Vandermonde, A., 58, 103.

Veil, Under the, 90, 216.

Verne, Jules, 249.

Victoria Cross Puzzle, The, 60, 194.

Village, A Wonderful, 142, 247.

Villages, The Three, 12, 155.

Villas, The Eight, 80, 206.

Vortex Rings, 40.

Voter's Puzzle, The, 75, 202.

Wall, The Puzzle, 52, 184.

Wallis, J., 142. ---- (Another), 220.

Walls, The Garden, 52, 185.

Wapshaw's Wharf Mystery, The, 10, 153.

War Puzzle Game, The, 118, 240.

Wassail Bowl, The, 109, 235.

Watch, A Puzzling, 10, 153.

Water, Gas, and Electricity, 73, 200.

_Weekly Dispatch, The_, 28, 124, 125, 146, 148.

Weighing Puzzles, Measuring, Packing, and, 109.

Wheels, Concerning, 55, 188.

Who was First? 142, 247.

Whyte, W.T., 147.

Widow's Legacy, The, 2, 148.

Wife, Find the Man's, 147, 251.

Wilkinson, Rev. Mr., 193.

Wilson, Professor, 29.

Wilson's Poser, 9, 153.

Wine and Water, 110, 235. ---- The Keg of, 110, 235.

Wotherspoon, G., 244.

Yacht race, The, 99, 226.