Chapter 4 of 15 · 3995 words · ~20 min read

Part 4

In the four corner and four central cells of this nest of squares four matches are so placed as to represent ¹⁄₂, 1, 4, ¹⁄₅₀, 11, 12, 41, and 49.

│ ╲ ╱ │ │ ╳ │ = 1 │ ╱ ╲ │

│ │ │ │ │ │ │ │ = 4 │ │ │ │

│ │ │ │ │ │ ─── = 11 │ │ │

╲ ╱ │ │ ╳ │ │ = 12 ╱ ╲ │ │

╱│ │ ─+─ │ = 41 │ │

│ │ │ ─── │ = 49 │___ │

Can you, still using only four matches in each case, fit different whole numbers or fractions in similar fashion into the other 28 cells?

69. EASY MENTAL ARITHMETIC

Set down three figures in a line, Then multiply by four; This, if you use the proper sign, Makes five and nothing more.

No. LXXXV.--MANY READINGS

Can you complete the top and bottom rows, the two side columns, and the two diagonals of this square by forming in each of them the same sentence so that it can be read in twenty different directions?

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗ ║ R | I | | | | | V | | | | | I | R ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ I | I | | | | | | | | | | I | I ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ | | | | | | | | | | | | ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ | | | | | | | | | | | | ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ | | | | | | | | | | | | ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ | | | | | | | | | | | | ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ V | | | | | | V | | | | | | V ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ | | | | | | | | | | | | ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ | | | | | | | | | | | | ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ | | | | | | | | | | | | ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ | | | | | | | | | | | | ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ I | | | | | | | | | | | I | I ║ ╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢ ║ I | | | | | | V | | | | | I | R ║ ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

There are four words in the sentence of thirteen letters.

No. LXXXVI.--TOLD AT A GLANCE

Ask anyone to fix upon a number between 1 and 60 inclusive, and to point out to you the square or squares in which it appears:--

╔═══╤═══╤═══╤═══╤═══╤═══╗ ╔═══╤═══╤═══╤═══╤═══╤═══╗ ║ 3│ 5│ 7│ 9│ 11│ 1║ ║ 9│ 10│ 11│ 12│ 13│ 8║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 13│ 15│ 17│ 19│ 21│ 23║ ║ 14│ 15│ 24│ 25│ 26│ 27║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 25│ 27│ 29│ 31│ 33│ 35║ ║ 28│ 29│ 30│ 31│ 40│ 41║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 37│ 39│ 41│ 43│ 45│ 47║ ║ 42│ 43│ 44│ 45│ 46│ 47║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 49│ 51│ 53│ 55│ 57│ 59║ ║ 56│ 57│ 58│ 59│ 60│ 13║ ╚═══╧═══╧═══╧═══╧═══╧═══╝ ╚═══╧═══╧═══╧═══╧═══╧═══╝

╔═══╤═══╤═══╤═══╤═══╤═══╗ ╔═══╤═══╤═══╤═══╤═══╤═══╗ ║ 17│ 18│ 19│ 20│ 21│ 16║ ║ 5│ 6│ 7│ 13│ 12│ 4║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 22│ 23│ 24│ 25│ 26│ 27║ ║ 14│ 15│ 20│ 21│ 22│ 23║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 28│ 29│ 30│ 31│ 48│ 49║ ║ 28│ 29│ 30│ 31│ 36│ 37║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 50│ 51│ 52│ 53│ 54│ 55║ ║ 52│ 38│ 39│ 44│ 45│ 46║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 56│ 57│ 58│ 59│ 30│ 60║ ║ 47│ 53│ 54│ 55│ 60│ 13║ ╚═══╧═══╧═══╧═══╧═══╧═══╝ ╚═══╧═══╧═══╧═══╧═══╧═══╝

╔═══╤═══╤═══╤═══╤═══╤═══╗ ╔═══╤═══╤═══╤═══╤═══╤═══╗ ║ 3│ 6│ 7│ 10│ 11│ 2║ ║ 33│ 34│ 35│ 36│ 37│ 32║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 14│ 15│ 18│ 19│ 22│ 23║ ║ 38│ 39│ 40│ 41│ 42│ 43║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 26│ 27│ 30│ 31│ 34│ 35║ ║ 44│ 45│ 46│ 47│ 48│ 49║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 38│ 39│ 42│ 43│ 46│ 47║ ║ 50│ 51│ 52│ 53│ 54│ 55║ ╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢ ║ 50│ 51│ 54│ 55│ 58│ 59║ ║ 56│ 57│ 58│ 59│ 60│ 41║ ╚═══╧═══╧═══╧═══╧═══╧═══╝ ╚═══╧═══╧═══╧═══╧═══╧═══╝

You can find the number at a glance, by simply adding together the numbers in _the right-hand top corner cells_ of the square indicated. Thus, if 45 has been chosen, 32 + 8 + 4 + 1 = 45.

No. LXXXVII.

Here is a little subtraction sum, which is not quite so simple as it appears to be:--

╔═══════════════════════════════════════════════╗ ║miles furlongs rods yards feet inches║ ║ 1 „ 0 „ 0 „ 0 „ 0 „ 0 ║ ║ 7 „ 39 „ 5 „ 1 „ 5 ║ ║ ─────────────────────────────────────────── ║ ║ ║ ║ ═══════════════════════════════════════════ ║ ║ ║ ╚═══════════════════════════════════════════════╝

Try it as it stands, without reducing the distance to inches.

70. A DOUBLET BY MISSING WORDS

Can you, by supplying the missing words, turn a grilse into a salmon? One letter is changed each time, and, except in one case, the order of the letters varies:--

To silver Tweed, or broader Spey, The _grilse_ of ......, ...... gay, Glides on; the ...... ...... draws When _salmon_ follows Nature’s laws.

71. AN ENIGMA

I never move, and yet I run From place to place all day; Some loving swain, hot foot for fun, Sees Dora in my way.

No. LXXXVIII.--RANGING THE DIGITS

These are the arrangements of the nine digits, by which they add up alike in rows, columns, and diagonals in a square; on all sides in a triangle; and from top to bottom and from side to side in a cross:--

╔═══════════════════════════════════════════╗ ║ ┌───┬───┬───┐ ┌───────────┐ ┌───────────┐ ║ ║ │ 8 │ 1 │ 6 │ │ 5 │ │ 5 │ ║ ║ ├───┼───┼───┤ │ 3 7 │ │ 4 │ ║ ║ │ 3 │ 5 │ 7 │ │ 4 6 │ │ 3 6 9 7 2 │ ║ ║ ├───┼───┼───┤ │ 8 1 9 2 │ │ 8 │ ║ ║ │ 4 │ 9 │ 2 │ │ │ │ 1 │ ║ ║ └───┴───┴───┘ └───────────┘ └───────────┘ ║ ╚═══════════════════════════════════════════╝

The totals are 15, 20, and 27 respectively.

72. WHAT IS THIS WORD?

HAATTCEUMSSSS

73. MULTUM IN PARVO

Seven words in one of letters five we fix, Five English, and one Latin; No need to twist them, or afresh to mix, If puzzles you are pat in.

74. THE GENTLE CRAFT

The question was asked in a puzzle competition--“Why is every angler ipso facto an Ananias?” Although no such method was asked for or expected, we find that the very letters of the question can be recast into a most apposite reply. Our answer by anagram runs thus--

A liar, .. ..... gay fancies to a ..... ....

Can you complete the sentence by filling in the missing words?

No. LXXXIX.--NO TWO IN A ROW

On a board of sixty-seven squares, arranged as is shown in the diagram, place nine counters, so that no two are in the same row, column, or diagonal.

┏━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┓ ┃###| |###| |###| |###| |###┃ ┠───┼───┼───┼───┼───┼───┼───┼───┼───┨ ┃ |###| |###| |###| |###| ┃ ┗━━━╅───┼───┼───┼───┼───┼───┼───╆━━━┛ ┃ |###| |###| |###| ┃ ┠───┼───┼───┼───┼───┼───┼───┨ ┃###| |###| |###| |###┃ ┗━━━╅───┼───┼───┼───┼───╆━━━┛ ┃###| |###| |###┃ ┏━━━╃───┼───┼───┼───┼───╄━━━┓ ┃###| |###| |###| |###┃ ┠───┼───┼───┼───┼───┼───┼───┨ ┃ |###| |###| |###| ┃ ┠───┼───┼───┼───┼───┼───┼───┨ ┃###| |###| |###| |###┃ ┏━━━╃───┼───┼───┼───┼───┼───┼───╄━━━┓ ┃###| |###| |###| |###| |###┃ ┗━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┛

The indentations do not affect the simple conditions.

75. A QUAINT RIDDLE

Peter White Will never go right; Shall I tell you the reason why? Wherever he goes, He follows his nose; And that stands all awry! If this appendage had slanted more Why would it serve a hole to bore?

No. XC.--EXACT ALIGNMENT

Can you arrange these nine cards so that they form ten rows with three cards in each row?

┌───┐ │ A │ │ │ │ ♣ │ └───┘

┌───┐ ┌───┐ ┌───┐ │ A │ │ 1 │ │ A │ │ │ │ 0 │ │ │ │ ♢ │ │ ♡ │ │ ♠ │ └───┘ └───┘ └───┘

┌───┐ ┌───┐ ┌───┐ ┌───┐ │ Q │ │ K │ │ K │ │ J │ │ │ │ │ │ │ │ │ │ ♠ │ │ ♣ │ │ ♢ │ │ ♢ │ └───┘ └───┘ └───┘ └───┘

┌───┐ │ K │ │ │ │ ♡ │ └───┘

This may, of course, be done with any nine cards.

76. A MISSING LETTER

Thieaonunhinemileuchtormapa Aitutoaeucceorlo; Pringweetnetillpoeemoygra, Aummertreemaofthadeacro.

Separate these strings of letters into words that scan and rhyme, adding the same missing letter in 55 places.

No. XCI.--AT A FANCY BALL

Two ladies and their squires, here represented by the White Knights and the Black, were dressed to impersonate Light, Liberty, Love, and Learning, and took their places on the corners of a pavement chequered to represent a chessboard, as is shown below:--

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗ ║ ♘ │###│ │###│ │###│ │#♞#║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║###│ │###│ │###│ │###│ ║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║ │###│ │###│ │###│ │###║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║###│ │###│ │###│ │###│ ║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║ │###│ │###│ │###│ │###║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║###│ │###│ │###│ │###│ ║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║ │###│ │###│ │###│ │###║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║#♞#│ │###│ │###│ │###│ ♘ ║ ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

They undertook to step a figure which should exhibit at each pause a revolving square, and in three paces bring them together in the centre, by a course traced upon the lines of their combined monograms. What were their successive steps?

No. XCII.--PROVERBIAL PHILOSOPHY IN CELLS

Can you disentangle all this good advice?

╔════════╤════════╤════════╤════════╤════════╤════════╗ ║ │ │ │ │ │ he ║ ║ tell │you know│ tells │ knows │ tells │ should ║ ║ │ │ │ │ │ not ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ you │ │ thinks │ │ is ║ ║ do │ think │ does │ of │ does │ not ║ ║ │ of │ │ │ │ good ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ │ │ │ │ ║ ║ believe│you hear│believes│ hears │believes│is false║ ║ │ │ │ │ │ ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ │ │ │ │ ║ ║ spend │you have│ spends │ has │ spends │he needs║ ║ │ │ │ │ │ ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ │ │ │ │ is ║ ║ judge │ you see│ judges │ sees │ judges │ not ║ ║ │ │ │ │ │ there ║ ╟────────┼────────┼────────┼────────┼────────┼────────╢ ║ │ │ │ │ │ ║ ║ never │ all │ he who │ all he │ often │ what ║ ║ │ │ │ │ │ ║ ╚════════╧════════╧════════╧════════╧════════╧════════╝

It forms 5 excellent maxims in its 36 cells.

77. THRICE DOCKED

Protected, open, plain, Without my tail I’m flat; I’m round curtailed again; Again, you have me pat.

No. XCIII.--A DISLOCATED CIRCLE

Study this quaint figure carefully, and try to discover how it can be divided into two pieces, so that these can be reunited to form a perfect circle.

[Illustration]

78. A LOGOGRIPH

When all are gay this holds the sway, But take a letter out, That change of fare is ruling there, You see, without a doubt. Behead me twice; it is not nice To have this in your skin; Lop head and tail, and find a nail Or tack to drive it in. Behind his right, and in your sight A little word you find; But you will never make it out, Though it is in your mind.

No. XCIV.

When Tommy was offered all the money by his uncle if he could place 15 half-crowns and 15 pennies in such order in a circle that, counting always by nines, and starting at a fixed point, he came always upon a penny, and removed it from the circle, he found the key to success in this Latin line, given to him by a school friend, who shared the spoil--“Populeam virgam mater regina ferebat.” The vowels, from a to u, are numbered from 1 to 5, and when they are thus marked in the sentence--

“Populeam virgam mater regina ferebat,” 4 5 21 3 1 1 2 2 3 1 2 2 1

they show the necessary sequence of half-crowns and pennies.

[Illustration]

Start counting with the half-crown marked _a_, and remove each penny as you come to it on counting up to nine, and the conditions are fulfilled.

No. XCV.--A BUSINESS ANAGRAM

This smart advertisement of a polish known as “Old Dutch Cleanser” appeared in an American paper:--

[Illustration:

Cleans Scrubs Scours Polishes

Old Dutch Cleanser]

If the eyes of the proprietor should fall upon this column, he will be surprised to find that his catch words _Cleans_, _Scrubs_, _Scours_, _Polishes_, can be recast into a perfect anagram, singularly appropriate to the powder advertised.

The opening words of the anagram are “O rub on, sir.”--Can our solvers complete the sentence?

No. XCVI.--A NEW CHESS PUZZLE

By Henry E. Dudeney.

Replace all these 51 pieces on the chessboard, so that no Queen attacks another Queen, no Rook another Rook, no Bishop another Bishop, and no Knight another Knight.

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗ ║ Q │#Q#│ Q │#Q#│ Q │#Q#│ Q │#Q#║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║###│ B │#B#│ B │#B#│ B │#B#│ ║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║ │#B#│ │###│ │###│ B │###║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║###│ B │#B#│ B │#B#│ B │#B#│ ║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║ R │#R#│ R │#R#│ R │#R#│ R │#R#║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║###│ N │#N#│ N │#N#│ N │###│ ║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║ N │#N#│ N │#N#│ N │#N#│ N │#N#║ ╟───┼───┼───┼───┼───┼───┼───┼───╢ ║#N#│ N │#N#│ N │#N#│ N │#N#│ N ║ ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

No account is to be taken of the intervening pieces, but each type of piece is to be considered as if it stood alone upon the board.

No. XCVII.--A GOOD KNIGHT’S TOUR

Here is a beautifully symmetrical specimen of the Knight’s tour:--

[Illustration]

No. XCVIII.--A KNIGHT’S TOUR

Here is another beautifully symmetrical Knight’s tour:--

[Illustration]

It starts from the corner square, and the second half of the course has dotted lines.

79. MISSING WORDS

He ...... himself much on his skill, In many a burglary tried; But when he ...... open the till There was only a ...... inside.

The missing words are spelt with the same six letters.

No. XCIX.--A KNIGHT’S TOUR

Here is quite a curious pattern described by another Knight’s tour:--

[Illustration]

80. AN ENIGMA

Three-fourths of me an act display, Three-fourths a bed for man; Three-fourths have legs that cannot stray, Three-fourths have legs that can. I have a back without a spine; An arm without a bone is mine.

81. A CHARADE

My first is the French for my second, My whole a narcotic is reckoned.

No. C.--A GOOD PATTERN

Here is a very symmetrical Knight’s tour, in which half of the moves are indicated by dotted, and half by unbroken lines:--

[Illustration]

82. PALINDROME WORDS

The letters of this sentence “Arrive to vote at it,” can be so recast as to form two palindrome words, or words that read alike from either end. What are they?

No. CI.--A KNIGHT’S TOUR

Here is another specimen of the Knight’s tour, which is beautifully symmetrical--

[Illustration]

Half of the course is marked with dotted lines.

83. AN ENIGMA

Sweet till I lose my head, Sweet-hearted then I show; Decapitate again, I spread, And cannot be below. Served so once more, I am not dead, But with fresh beauty glow.

No. CII.--A KNIGHT’S POETIC TOUR

On the board below a verse of eight lines runs on the course of a Knight’s move from square to square:--

╔══════╤══════╤══════╤══════╤══════╤══════╤══════╤══════╗ ║ │ │ │ │ │ │ │ ║ ║ sor │ to │ king │ good │ say │ luck │ loy │ eth ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ │ │ │ │ │ │ │ ║ ║ and │ moth │ a │ soon │ dis │ our │ to │ bad ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ │ │ │ │ │ │ │ ║ ║ place│ ry │church│ his │ force│ is │ hat │ al ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ │ │ │ │ │ │ │ ║ ║ er │ queen│ him │ wight│ he │ to │ may │ truth║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ │ │ │ │ │ │ │ ║ ║ man │ his │ and │ and │ chess│ es │knight│ op’s ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ │ │ │ │ │ │ │ ║ ║ a │ sneer│ the │ and │ un │ lawn │ of │ tates║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ │ │ │ │ │ │ │ ║ ║ cas │ that │ at │ less │ pawn │ no │ bish │ lant ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ │ │ │ │ │ │ │ ║ ║ eth │ faith│ tles │ hath │ the │ gal │ in │ love ║ ╚══════╧══════╧══════╧══════╧══════╧══════╧══════╧══════╝

Can you disentangle the little poem?

84. TOMMY’S MONEY BOX

“Dad,” said little Tommy, “give me as much as I have in my purse, and I will put a shilling in my money-box.” This was done, and the process was repeated for three more days. How much had Tommy originally in his purse, which was now quite empty?

No. CIII.--THE MANX RABBITS

This is the way to draw three rabbits so that they have but three ears among them all:--

[Illustration]

85. AN ENIGMA

Two articles of English make, And three from foreign source. All these together you must take Where dramas run their course.

No. CIV.--SCORING A CENTURY

On this table is shown in ten different ways how exactly 100 can be arrived at by the use of the nine digits, each appearing only once.

╔══════╤══════╤══════╤══════╤══════╤══════╤══════╤══════╤══════╗ ║ 1 │ 2 │ 3 │ 4 │ 5 │ 6 │ 7 │ 8 │ 9 ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 1 │ 1 │ 4 │ 95³⁄₇│ 56 │ 98 │ 6 │ 15 │ 15 ║ ║ 3 │ 45 │ 53 │4¹⁶⁄₂₈│ 34 │ 1 │ 2 │ 2 │ 36 ║ ║ 5 │ 7 │ 6 │ │ 7 │ ³⁄₆ │ -- │ 79 │ 47 ║ ║ 8 │ 9 │ 8 │ │ 1 │ ²⁷⁄₅₄│ 8 │ ⁸⁄₄ │ -- ║ ║ 9 │ -- │ -- │ │ -- │ │ 9 │ ⁶⁄₃ │ 98 ║ ║ -- │ 62 │ 71 │ │ 98 │ │ 1 │ │ 2 ║ ║ 26 │ 38 │ 29 │ │ 2 │ │ 3 │ │ ║ ║ 74 │ │ │ │ │ │ 4 │ │ ║ ║ │ │ │ │ │ │ 75 │ │ ║ ╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢ ║ 100 │ 100 │ 100 │ 100 │ 100 │ 100 │ 100 │ 100 │ 100 ║ ╠══════╧══════╧══════╧══════╧══════╧══════╧══════╧══════╧══════╣ ║9 × 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 100. ║ ╚══════════════════════════════════════════════════════════════╝

86. IF WE COULD CHOOSE

“If it were possible, I should choose,” said young Hopeful, “a life double as long.”

“Yes,” said old Sobersides, “and you might turn it to better account if it was also begun old.”

How did their actual words bear this out?

No. CV.--SEEING THROUGH A VEIL

On a piece of clear tracing paper draw with pen and ink a close network of lines, such as is shown in this diagram, near enough together to conceal type of ordinary size.

[Illustration]

Place this on the page of a book, and challenge any one to read a sentence, or even a word, through it, saying that you can do so easily. How can you succeed?

87. A CHARADE

Lop head and tail, and you will find I have both tail and head. Or if for spirits you’ve a mind Set my tail first instead.

Life, as “a vapour full of woes,” With many a darker page, My whole in picture will disclose, For “all the world’s a stage!”

No. CVI.--THE PAPER RINGS

In the diagram a strip of paper is shown (1), with its ends simply gummed together; (2), with a single twist; and (3), with a double twist. Can you decide, without actual experiment, what will be the result in each case if these are cut completely round, as is indicated by the dotted lines?

[Illustration]

88. MISSING WORDS

A glowing ........ window, graced With ........ that true art has traced.

89. ANSWER BY ANAGRAM

How do the actual letters of these words in their union prove that anæsthetics are “blessed in pain?”

No. CVII.--THE MAGIC BUTTONS

Make two parallel cuts with a penknife along the centre of a slip of leather or other material, and below them a hole of the same width. Pass a piece of string under the slit, and through the hole, and tie two buttons, each much larger than the hole, to the ends of the string.

[Illustration]

How can the string be released without removing either of the buttons?

No. CVIII.--THE CAPTIVE SCISSORS

Fasten a pair of scissors securely with a piece of string to some convenient article, as is shown in this diagram:--

[Illustration]

Can you release them without cutting or unfastening the string?

90. A BURIED QUOTATION

“What sin was it, sonny?” said an American negress to her lover, when she sat on his best hat, which was flattened. Wearily he heard her musical laugh, and arose to go. His hobby was botany, but not hers, for she was then a merry girl. “Bother the flowers! I would prefer this mellow pine-apple, Leonidas,” she said; “I guess we Ethiopians just love fruit!”

No. CIX.--A PRIMITIVE TRAP

This diagram represents in the simplest outline a primitive wolf-trap.

[Illustration]

The dotted line is a gate opening into a circular enclosure. How was the trap set and the wolf caught?

91. LADIES AT A SALE

They .... the dress with grip so keen That half the .... gives way; And home return with purses lean To .... of “bargain-day!”

What are the missing words?

No. CX.--A SPINNING NEEDLE

To balance a needle on the head of a pin, push the pin into the cork of a wine bottle, and the needle into a separate cork.

[Illustration]

With the aid of three forks, as is shown in the picture, the needle may be balanced and spun round on the head of the pin.

92. MISSING WORDS

Air--“_Three fishers went sailing_.”

Three ...... went sailing out into the west, Out into the west as the sun sank low; Each thought as they ...... of the lad she loved best, For they all had ......, and each had a beau. But seas will rise, and spirits will sink, And they all were too ill of ...... to think, So these ...... ...... back moaning.

Each missing word has the same six letters.

No. CXI.--AFTER DINNER

This diagram shows how, as an after-dinner trick, four similar wineglasses can be placed on the table

[Illustration]

so that the centres of the lowest parts of their stems are equidistant from each other.

93. A CHARADE

Lurking in riddles oft my first is found; My second should in ample stores abound, Or help to make the sweetest songster heard. Peculiar, and quite proper, is my third. My whole has found with England’s monarch grace, The verdant home of many a goodly race.

No. CXII.--SECOND SIGHT

Ask any one, with this diagram to work upon, to think of any number between 5 and 15, and, while your back is turned, to count up to it, beginning at the lowest step, and saying one, two, three, four, and so on, as each step of cards or single card is reached in the direction indicated by the arrow. When the number thought of has been thus arrived at, tell him to stop, and beginning afresh on that card, to count one, two, three, etc., _backwards_, this time _skipping over the double six_ and the 3 steps until he again reaches the number thought of, and notices which card he has touched last.

[Illustration]

How can you, without having seen any of his movements, at once find that card?

No. CXIII.--AN AFTER DINNER TRICK

Cut a wedge out of an apple, as is indicated in the diagram, and make six gashes as is shown.

[Illustration]