No. LXVII.--AN EIGHT-CARD PUZZLE
Place eight cards of two different colours alternately in one row, then
with four moves bring all of one colour together.
┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐
│ A │ │ 2 │ │ 3 │ │ 4 │ │ 5 │ │ 6 │ │ 7 │ │ 8 │
│ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │
│ ♠ │ │ ♡ │ │ ♣ │ │ ♢ │ │ ♣ │ │ ♢ │ │ ♣ │ │ ♡ │
└───┘ └───┘ └───┘ └───┘ └───┘ └───┘ └───┘ └───┘
Two cards (without altering their relative position) are to be moved at
a time, and placed somewhere in the same line, one of them at least
touching another card.
52. MUTILATIONS
A little beast without its head
Becomes a mighty beast instead;
But then the subject of my riddle
Is cut asunder in the middle;
And nothing this division gains,
Though unknown quantity remains.
53. MISSING WORDS
Mary sat with ..... in hand
Writing ..... dramatic.
Did she ..... the plots she planned?
Negative emphatic!
..... to us the ..... may be
But at ..... they’re new to she!
The missing words are spelt with the same five letters.
No. LXVIII.--THOUGHT READING
Cut out this diagram, and paste it on a card. Hand it to anyone, and ask
him to fix upon whichever number he pleases, and merely to tell you in
which columns this appears.
╔════════════════════════════════════════════════════════════════════╗
║┌───────────────┐┌───────────────┐┌───────────────┐┌───────────────┐║
║│ I. ││ II. ││ III. ││ IV. │║
║│ ││ ││ ││ │║
║│ 1 33 65 97││ 2 34 66 98││ 4 36 68 100││ 8 40 72 104│║
║│ 3 35 67 99││ 3 35 67 99││ 5 37 69 101││ 9 41 73 105│║
║│ 5 37 69 101││ 6 38 70 102││ 6 38 70 102││ 10 42 74 106│║
║│ 7 39 71 103││ 7 39 71 103││ 7 39 71 103││ 11 43 75 107│║
║│ 9 41 73 105││ 10 42 74 106││ 12 44 76 108││ 12 44 76 108│║
║│ 11 43 75 107││ 11 43 75 107││ 13 45 77 109││ 13 45 77 109│║
║│ 13 45 77 109││ 14 46 78 110││ 14 46 78 110││ 14 46 78 110│║
║│ 15 47 79 111││ 15 47 79 111││ 15 47 79 111││ 15 47 79 111│║
║│ 17 49 81 113││ 18 50 82 114││ 20 52 84 116││ 24 56 88 120│║
║│ 19 51 83 115││ 19 51 83 115││ 21 53 85 117││ 25 57 89 121│║
║│ 21 53 85 117││ 22 54 86 118││ 22 54 86 118││ 26 58 90 122│║
║│ 23 55 87 119││ 23 55 87 119││ 23 55 87 119││ 27 59 91 123│║
║│ 25 57 89 121││ 26 58 90 122││ 28 60 92 124││ 28 60 92 124│║
║│ 27 59 91 123││ 27 59 91 123││ 29 61 93 125││ 29 61 93 125│║
║│ 29 61 93 125││ 30 62 94 126││ 30 62 94 126││ 30 62 94 126│║
║│ 31 63 95 127││ 31 63 95 127││ 31 63 95 127││ 31 63 95 127│║
║└───────────────┘└───────────────┘└───────────────┘└───────────────┘║
║ ┌───────────────┐┌───────────────┐┌───────────────┐ ║
║ │ V. ││ VI. ││ VII. │ ║
║ │ ││ ││ │ ║
║ │ 16 48 80 112││ 32 48 96 112││ 64 80 96 112│ ║
║ │ 17 49 81 113││ 33 49 97 113││ 65 81 97 113│ ║
║ │ 18 50 82 114││ 34 50 98 114││ 66 82 98 114│ ║
║ │ 19 51 83 115││ 35 51 99 115││ 67 83 99 115│ ║
║ │ 20 52 84 116││ 36 52 100 116││ 68 84 100 116│ ║
║ │ 21 53 85 117││ 37 53 101 117││ 69 85 101 117│ ║
║ │ 22 54 86 118││ 38 54 102 118││ 70 86 102 118│ ║
║ │ 23 55 87 119││ 39 55 103 119││ 71 87 103 119│ ║
║ │ 24 56 88 120││ 40 56 104 120││ 72 88 104 120│ ║
║ │ 25 57 89 121││ 41 57 105 121││ 73 89 105 121│ ║
║ │ 26 58 90 122││ 42 58 106 122││ 74 90 106 122│ ║
║ │ 27 59 91 123││ 43 59 107 123││ 75 91 107 123│ ║
║ │ 28 60 92 124││ 44 60 108 124││ 76 92 108 124│ ║
║ │ 29 61 93 125││ 45 61 109 125││ 77 93 109 125│ ║
║ │ 30 62 94 126││ 46 62 110 126││ 78 94 110 126│ ║
║ │ 31 63 95 127││ 47 63 111 127││ 79 95 111 127│ ║
║ └───────────────┘└───────────────┘└───────────────┘ ║
╚════════════════════════════════════════════════════════════════════╝
You can then in a moment, and at a glance, pick out the number that is
chosen.
No. LXIX.--FROM PILLAR TO POST
Let us suppose that these black dots represent a succession of pillar
boxes. It will be seen that a postman, starting from the circle, and
going along the dotted lines, turns round 18 corners.
●┅┅┅● ●┅┅┅● ●┅┅┅●┅┅┅●┅┅┅●
┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ● ●┅┅┅● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ● ● ● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ○ ● ● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ●┅┅┅● ● ● ●
┇ ┇ ┇ ┇ ┇ ┇
● ● ●┅┅┅●┅┅┅● ● ● ●
┇ ┇ ┇ ┇ ┇ ┇
● ●┅┅┅●┅┅┅●┅┅┅● ● ● ●
┇ ┇ ┇ ┇
●┅┅┅●┅┅┅●┅┅┅●┅┅┅●┅┅┅● ●┅┅┅●
Can he take a course which involves fewer turnings?
No. LXX.--TRANSFORMATIONS
Here is an ingenious paper and scissors puzzle:--
[Illustration: 1.]
[Illustration: 2.]
[Illustration: 3.]
Divide a square card into three pieces, so that these can be reunited to
form No. 2 or No. 3 of this diagram.
54. COUNTING THE GEESE
(_From an old Sanscrit source, quoted by Longfellow in his “Kavanagh.”_)
Ten times the square root of a flock of geese, seeing the clouds
collect, flew to the Manus lake. One-eighth of the whole flew from the
edge of the water among a tangle of water lilies, and three couples were
seen playing in the water. Tell me, my young girl with beautiful locks,
what was the whole number of geese?
55. A THIRD IS A HALF
Six hundred and sixty so ordered may be
That if you divide the whole number by three
You find the result will exactly express
The half of six hundred and sixty, no less.
No. LXXI.--A PUZZLE WITH CHESS PIECES
┏━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┓
┃ │###│ │###│ │###│ │###┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃###│ │###│ │###│ │###│ ┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃ │###│ │###│ │###│ │###┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃###│ │###│ │#♚#│ │###│ ┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃ │###│ │###│ │###│ │###┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃###│ │###│ │###│ │###│ ┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃ │###│ │###│ │###│ │###┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃#♖#│ │###│ │###│ │#♘#│#♖#┃
┗━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┛
Leaving the Black King in his position, place the three white men so
that he stands checkmated.
56. PRESS PARODIES
An American paper published the following:--
There was a young damsel, oh, bless her!
It cost very little to dress her;
She was sweet as a rose
In her everyday clothes,
But had no young man to caress her.
Next day this parody appeared in a rival paper:--
There was a young ......, oh, bless her!
It cost very little to dress her;
Some ........... and .....
About Thanksgiving time,
And they ... the last bit from the ....... .
Can you fill in the missing words?
No. LXXII.--HEXAGONAL ILLUSIONS
If we look with one eye only, or with eyes half-closed, at these groups
of circular dots, they assume the appearance familiar to us in
honeycomb. This is an effect of the contrast and opposition of the black
and white in the sensation of the retina.
[Illustration]
Although the black and the white circles are of the same diameter the
irradiation is in their case so intense that the white circles appear to
be larger than the black.
No. LXXIII.--AN ILLUSION OF ARCHES
This excellent illusion appeared in a recent number of the “Strand
Magazine”:--
[Illustration]
Most persons will at first see the passages under these arches as
running upwards from left to right, but presently, as their line of
vision shifts, the arches will take a downward course from right to
left. This very curious effect will well repay a little patience, if it
is not realised at once.
57. WHERE WAS THE WEDDING?
She loses her head when she joins the brides,
He joins them after tea;
But both are swept by ruthless tides
Away on the western sea.
58. ON A BANANA BARROW
I have 91 bananas on my barrow, of two qualities; some I sell at four a
penny, and the better sort at three a penny. If I had sold them in mixed
lots at seven for twopence, I should have made a penny more. How many
were there of each quality?
No. LXXIV.--IN THE TRAIN
The Puzzle Problem--
A passenger in a first-class railway carriage notices that the top of
a factory window due S.W. of him coincides with a mark on the carriage
window, and does not move from it while the train is running five and
a half miles.
[Illustration]
At the end of that distance the compass bearing of the chimney is due
N.W. How far was the passenger from the chimney when he first noticed
it?
is solved by 3¹⁄₂ miles.
We give a diagram to make the points clear.
As the chimney top does not move from its place on the window, it is
clear that the train is running on a segment of a circle having the
chimney for its centre. It follows that the observer’s distance
throughout is equal to the radius of that circle, and the radius of a
circle of which the quadrant measures 5¹⁄₂ miles is 3¹⁄₂ miles within
about 11 ft.
No. LXXV.--MENDING THE FLAG
The cross had been taken out from the centre of this flag, and its
owner, who had an ingenious turn of mind, found that by cutting what
remained into two pieces, and rejoining them, he could make it into a
perfect flag without any waste of material.
[Illustration]
How did he accomplish this?
No. LXXVI.--FOR THE CHILDREN
Add two more pieces similar in shape and size to that marked A, and one
similar to B, C, and D respectively, and then readjust the eleven parts
so that they form a perfect square.
[Illustration]
59. MISSING WORDS
How does the sluggard’s garden grow?
When ..... are high results are low.
His borders ..... and bindweed spoil,
No careful culture ..... the soil;
But weeds that ..... are all alive
Where ..... pink or rose should thrive.
The missing words are spelt with the same letters.
No. LXXVII.--AN EASY MATCH PUZZLE
This is a simple arrangement of eight matches, by which two squares and
four similar triangles are formed.
[Illustration]
60. WHAT AM I?
Correctly drawn results I yield.
Varied, but welcome everywhere;
But met with in the open field
I’m banned if frequent, blest if rare.
To this peculiar difference the clue
Is called with much significance the cue.
61. BURIED TOWNS
Wait while I think the matter over,
On holiday intent;
The best I’ve seen is surely Dover,
That pretty port of Kent.
Three towns are buried in these lines.
No. LXXVIII.--WALKING THE ROUNDS
A hospital was built in six detached blocks, and it was the duty of the
night watchman to go completely round every block at fixed hours to see
that all was safe.
[Illustration]
What was his shortest course?
62. THE ARAB AND HIS ASS
An Arab came to the river side
With a donkey bearing an obelisk,
But he did not venture to ford the tide,
For he had too good an *.
So he camped all night by that river side,
Secure till the tide had ceased to swell,
For he knew that whenever the donkey died
No other could be its ‖.
No. LXXIX
Can you rearrange the twelve counters on this board of 36 squares so
that there are two counters on each row, column, and diagonal?
╔═══╤═══╤═══╤═══╤═══╤═══╗
║ │ │ │ │ │ ║
╟───┼───┼───┼───┼───┼───╢
║ │ │ │ │ │ ║
╟───┼───┼───┼───┼───┼───╢
║ ◎ │ ◎ │ ◎ │ ◎ │ ◎ │ ◎ ║
╟───┼───┼───┼───┼───┼───╢
║ ◎ │ ◎ │ ◎ │ ◎ │ ◎ │ ◎ ║
╟───┼───┼───┼───┼───┼───╢
║ │ │ │ │ │ ║
╟───┼───┼───┼───┼───┼───╢
║ │ │ │ │ │ ║
╚═══╧═══╧═══╧═══╧═══╧═══╝
There must not be more than these two counters in the same straight
line.
63. A CHARADE
What ho, my jolly _second!_ never say my _first_
While my final you can find in Amsterdam.
Think how a sound _whole_ stays your hunger and your thirst,
Deftly readjusting bread and meat and jam.
No. LXXX.--THE QUEEN’S TOUR
This is a course by which the queen on a chessboard, starting from K R
sq., passes over every square in fourteen moves.
[Illustration]
64. AFTER THE MATCH
“Did you score a score?” said Funniman to his schoolboy nephew, after a
local cricket match. “No, uncle,” said the youngster, “but if I had made
as many more runs, half as many more, and two runs and a half, I should
have made my twenty.” How many runs did he get?
No. LXXXI.--A NEST OF TRIANGLES
In the “Twentieth Century Standard Puzzle Book” we gave a figure similar
to this, in which there were 653 interlacing triangles in four tiers of
this character.
[Illustration]
We now add a fifth tier at the base, and ask our solvers to determine
how many triangles of all shapes and sizes can be counted within its
enlarged borders.
65. AN ENIGMA
Six letters spell the happy state
Of two in love made one.
The same six letters tell the fate
Of marriage ties undone.
No. LXXXII.--A SIMPLE MATCH PUZZLE
Place eight matches in a row, about an inch apart, as indicated in the
diagram.
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
The puzzle is to form these into four pairs in four moves, by moving one
match clear over two matches every time.
66. A TOPICAL RIDDLE
My First’s a bond, my Seconds weigh;
These own the Rest of all my lay;
Busy my Third; Fourth like the Pole,
Whose opposite my Fifth makes goal.
67. MISSING WORDS
For two months at the .... we played,
Ere we were .... to Lord’s;
Alas! the score our champion made
Was what a .... affords!
The crowd in .... of thousands came
But took scant notice of the game.
No. LXXXIII.--A MATCH PUZZLE
Place twelve matches, as is shown in the diagram, so that they form four
squares.
══════ ══════
║ ║ ║
║ ║ ║
║ ║ ║
═══════ ══════
║ ║ ║
║ ║ ║
║ ║ ║
══════ ══════
Now remove three of the matches, and readjust the nine that remain so
that they represent three squares.
68. MARCONIGRAMS
Edwin and Angelina were far apart, when this message, with its touch of
jealous resentment, reached her on the wings of a Marconigram--
“No fickle girl is bonnie to my mind!”
Quite equal to the occasion, she flashed back the reply--
“In love inconstant I no pleasure find!”
How did these messages reveal the places from which they were
despatched?
No. LXXXIV.--MATHEMATICS WITH MATCHES
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]