so that they form two words familiar to us all?
A
A
E
D N R E G D N
I
T
V
S
One of the letters, to be placed where the lower E now stands, is common
to both words.
5.
“Take this sovereign, my boy,” said a man to his son who had a turn for
arithmetic, “and buy for yourself and for your three sisters the best
present possible for each, of different values, expending in each case
an aliquot part of the pound, that is to say, a fraction of it whose
numerator is one. If there is any change you can give it to the Fresh
Air Fund.” How was this commission carried out?
6. A WORD SQUARE
Can you complete this word-square?
. E . A .
E . A . E
. A . . E
A . . E .
. E E . .
7. VERBAL ARITHMETIC
First find a word that is spelt with the ten letters above the line, and
number its letters consecutively 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.
A I
L C
P R
U N
B E
_____
E C C
Substitute the corresponding figures for the letters, and then work out
the addition sum which they represent.
8. A WORD SQUARE
Can you complete this word square?
T . . . T
. T . . .
. . O . .
. E . S .
T . . . S
9.
Take the twelve first prime numbers, 1, 2, 3, 5, 7, 11, 13, 17, 19, 23,
29, 31, which have no factors but themselves and unity, and write down
the value of their product, using no figures but 0, 1, 2, and 3, and of
these using 2 and 3 only once.
10. AT THE WASH
Six collars seven cuffs there be
When pence we charge you thirty-three;
Seven collars and six cuffs to do
The charge is only thirty-two;
The work is good and up-to-date,
So figure out in pence the rate.
11. GAPS TO FILL
Can you complete this word square?
W . E . S
. . . . .
E . U . E
. . . . .
S . E . R
12. IS IT POSSIBLE?
Fill a wineglass with water to the brim, and set it on the corner of a
table-napkin, which should be in immediate contact with the polished
surface of a table, allowing the rest of the napkin to fall over the
edge. Can you remove the napkin without touching the glass or spilling
any of the water?
13. A NICE CALCULATION
My third and fourth are a quarter of my first and second; my fourth is
half of them, and my third is half. What am I?
14. FOR THE CHILDREN
A London firm, having sent an order by telegram to a manufacturer in
Paris for 480 sets of Diabolo, received to their amazement a huge
consignment of 6336 sets. How did this mistake arise?
15. A WINTER VALENTINE
Thy heart is like some icy lake
On whose cold brink I stand;
On my sore plight sweet pity take,
And lead me by the hand.
Then buckle on my spirit’s skate
Where all the ice is thin,
That it may break beneath my weight,
And let a lover in!
16. A QUESTION OF AGES
“My husband’s age,” said Mrs Evergreen, “is represented by the figures
of my age reversed. He is older than I am, and the difference between
our ages is one-eleventh of their sum.” What were their respective ages?
17. MISSING FIGURES
Can you complete this multiplication sum?
4 * *
3 *
-------
3 6 * *
* * 7 * *
---------
* * 3 * *
18. STRANGE ADDITION
Add 3 to 10, and then divide
Till 8 the sum has satisfied.
19. BEDDING OUT
I bought less than 100 plants for my new rosery, and found that if I set
them 3 in a row there would be one over; if 4 in a row there would be
two over; if 5 in a row, three over; and if 6 in a row, four over. How
many rose trees did I buy?
20.
Can you arrange three nines so that they represent exactly 20?
21.
A house has nine windows on its front. How many signals can be given by
merely leaving one or more of them open?
22. ON MY BIRTHDAY
(By Sir John Evans)
“Reader, whether man or woman,
Write my age in figures Roman.
My first divided by my second
Will make my third, if rightly reckoned;
Ten times the whole, and then you see
My university degree.”
23. MOSAIC VERSE
The heath this night must be my bed, (Scott)
Ye vales, ye streams, ye groves, adieu! (Pope)
Farewell for aye; e’en love is dead; (Proctor)
Would I could add remembrance too! (Byron)
24. SIGNS AND SEASONS
The springs spring forth in spring, and shoots
Shoot forward one and all;
Though summer kills the flowers, it leaves
The leaves to fall in fall!
25. THE TEN DIGITS
This arrangement of the digits represents 20, one being a whole number,
the others a fraction:--
13258
6----- = 20
947
26. CHRONOGRAM
The battle of Montl’héry was fought in 1465. Its date can be committed
to memory in the sentence which might have been a battle-cry--“A cheval,
à cheval, gendarmes, à cheval!” For it is arrived at by the addition of
the Roman numerals which this contains, thus:--
C = 100
V = 5
L = 50
C = 100
V = 5
L = 50
M = 1000
C = 100
V = 5
L = 50
----
Total = 1465
27. A TOUR DE FORCE
In this most remarkable sentence of only twenty-eight letters, every
letter of the alphabet is used--
IF JACK QUIZ BALD NYMPHS GROW VEXT.
28. AN OLD TALE OF A TUB
Tom Hood, seeing over the door of a public-house BEAR SOLD HERE, said
that it was rightly spelt if it was the landlord’s _own bruin_!
29. ALL THE ALPHABET
Here is an ingenious rhyming couplet of only 33 letters, in which every
letter of the alphabet is used--
Quick! go on, Jim! why
Stop lazy fox? Drive by!
30. AN IMPERIAL ANAGRAM
A sa Majesté impériale le Tsar Nicolas, souverain et autocrate de
toutes les Russies.
The same letters exactly spell--
O, ta vanité sera ta perte. O, elle isole la Russie; tes successeurs
te maudiront à jamais!
This most remarkable anagram was published in the early days of the
Crimean war.
31. A FOURFOLD ANAGRAM
“Notes and Queries.”
_A question sender.
Enquires on dates.
Reasoned inquest.
I send on a request._
32. A GOOD ANAGRAM
The name of John Abernethy, a very brusque doctor of bygone days, lends
itself to this most apposite anagram--_Johnny the bear!_
33. TWO EXCELLENT ANAGRAMS
(After the Irish famine.)
Duchess of Marlborough.
_She labours much for God._
Or,
The Duchess of Marlborough.
_Lo, she sought much for bread._
34. “ENGLISH AS SHE IS SPOKE”
French guest to his host after a big shoot:--
“How many braces have you to your bags?”
35. A PRIZE ANAGRAM
It would be difficult to find a more ingenious and appropriate anagram
than this, which took a prize in “Truth” in 1902, and connects the
King’s recovery with the Coronation.
The sentence set was--
“God save our newly crowned King and Queen! Long life to Edward and
Alexandra!”
The letters of this were recast thus--
Can we wonder an anxious devoted England followed drear danger
quakingly?
36. A PRIZE ANAGRAM
“Truth” offered a prize for the best anagram on the sentence--“‘Truth’
Toy and Doll Fund, Christmas, nineteen hundred and seven.” The winning
anagram, by the Editor of these pages, was, “A sunny tender mind
understands that the children do love fun!”
37. TAKE CARE OF THE PENCE
In a moment of economy I told my wife that I would put by a farthing the
first week of the New Year, a halfpenny the second week, a penny the
third, and so on, doubling the sum each week to the end of the year. She
had a turn for figures, and staggered me by showing that I should have
to provide £4,691,249,611,844, 5s. 3³⁄₄d. to carry out my plan!
38
Now that Ellen Terry has written “The Story of My Life,” this anagram
has a special interest:--
LYCEUM THEATRE, STRAND.
_Teach and melt us, Terry!_
38a. RING OUT, WILD BELLS!
More startling than the well-known calculation of payment by
continuously doubling the farthing given for the first nail in a horse’s
shoe, is the fact that the possible changes on a peal of 24 bells would
not be exhausted if every minute of 4000 years were prolonged to a
period of 10,000 years!
39. A SCHOLAR AT PLAY
Erasmus himself was responsible in one of his lighter moments for the
following ingenious play upon his name:--
Quæritur unde mihi sit nomen Erasmus, _eras mus_;
Si _sum mus_ ego, te judice, _summus_ ero!
40. QUITE AN EYESORE!
“Well!” cried an agitated carpenter to his mate, “of all the saws that I
ever saw saw, I never saw a saw saw as this saw saws!”
41. THE PUNSTER’S LAMENT
If I be duly punished
For every foolish pun I shed,
I shall not find one puny shed
In which to hide my punnish head!
42. A GOOD ANAGRAM
CONFESSIONS OF AN OPIUM EATER.
The same letters recast spell--
_If so, man, refuse poison at once!_
43. A TOUR DE FORCE
The following curiosity, constructed some years ago for prize purposes
by the Editor, shows how, in word or letter juggling, difficulties can
be overcome:--
A sentence in which each letter of the alphabet is used exactly twice:
“XLV gruff nymphs jerk XLV jaws,” quoth wag B. Dick, Q.C., to Ben Dizzy,
M.P.
44. THE MISSING LINK
If anagrams count, our “ancestor” was not a monkey but a _Norse cat_!
45. A STRIKING ANAGRAM
The name of Randle Holmes, author of a notable book on heraldry, was so
recast that it formed the words: “Lo, men’s herald!”
46. A CURIOUS PALINDROME
Dog as a devil deified lived as a god.
47. AFTER THE EVENT
_An Anagram._
The Oxford and Cambridge annual Boat-race.
_Cantab blue had raced in an extra good form._
48. TO FIND THE GOLD
Tell a person who holds a sovereign in one hand and a shilling in the
other to reckon 4 for the gold, and 3 for the silver. Then bid him
triple what is in the right hand, and double what is in the left, and
give you the added product. If this is an _even_ number the gold is in
the right hand, if _odd_ it is in the left.
49. A MUSICAL ANAGRAM
ADELINA PATTI.
_Adept Italian._
50. A HAPPY THOUGHT
Sir Charles Napier’s witty despatch, “Peccavi!” “I have Scinde!” is
familiar to us. Not so well known is the happy phrase attributed to Sir
Colin Campbell, “Nunc sum fortunatus!” “I am in Lucknow!”
51. A CLEVER TRIPLE ANAGRAM
Owen, the Welsh epigrammatist, composed this very clever Latin line:--
In _verbis, ubi res_ postulat, esto _brevis_.
(“In words, where the matter requires it, be brief.”)
The words in italics are spelt with the same six letters.
52. CAN SUCH THINGS BE?
Take a long strip of paper, say 9 in. by 2 in., which will have, of
course, an upper and an under surface and two edges along its length.
How can you arrange this strip, by quite a simple method so that it will
have only _one_ surface and _one_ edge?
53.
Can you divide nine into two parts which are together equal to ten?
54. FOLDING A FLOCK
A shepherd had a flock of sheep in a fold enclosed by 100 hurdles. His
master made a large purchase at the annual fair, and required him to pen
some pigs with 16 of the hurdles, and to arrange the remainder so that
they could accommodate nine times as many sheep as the 100 hurdles had
contained. How was this possible?
55. A NEAT TRICK
Here is a neat final trick, if you have some reputation for sleight of
hand. Place three biscuits on the table in a row, and cover each of them
with a borrowed hat. Raise each hat in turn, gravely eat the biscuit,
and replace the hat. Then undertake that the three biscuits shall be
under whichever hat is selected. How can you contrive this?
56. VERY SMALL CHANGE
In how many different ways can 7s. 3d. be paid away in current coin of
the realm, without ever using exactly the same set of coins a second
time?
SOLUTIONS
FRONTISPIECE
The words which describe this picture can be recast, letter for letter,
into the perfect anagram--
[Illustration: “Please, Mister Elephant, are you there?”]
No. IV.
It is said that there are 86 ways in which the numbers in this model
magic square can be added up so that they make 34.
╔═══╤═══╤═══╤═══╗
║ 4│ 15│ 14│ 1║
╟───┼───┼───┼───╢
║ 9│ 6│ 7│ 12║
╟───┼───┼───┼───╢
║ 5│ 10│ 11│ 8║
╟───┼───┼───┼───╢
║ 16│ 3│ 2│ 13║
╚═══╧═══╧═══╧═══╝
It is not difficult to discover more than half this number that are
symmetrical, including, of course, the 4 rows, 4 columns and 2
diagonals. Here are a dozen samples, from which others can be seen--
4, 1, 16, 13.
15, 14, 3, 2.
14, 12, 5, 3.
6, 7, 10, 11.
15, 8, 9, 2.
1, 6, 11, 16.
14, 8, 9, 3.
9, 15, 2, 8.
4, 5, 12, 13.
4, 5, 11, 14.
4, 9, 8, 13.
9, 14, 3, 8.
No. VIII
Here is the completed magic square--
╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║216│175│224│183│232│191│240│199│248║
╟───┼───┼───┼───┼───┼───┼───┼───┼───╢
║247│215│174│223│182│231│190│239│207║
╟───┼───┼───┼───┼───┼───┼───┼───┼───╢
║206│246│214│173│222│181│230│198│238║
╟───┼───┼───┼───┼───┼───┼───┼───┼───╢
║237│205│245│213│172│221│189│229│197║
╟───┼───┼───┼───┼───┼───┼───┼───┼───╢
║196│236│204│244│212│180│220│188│228║
╟───┼───┼───┼───┼───┼───┼───┼───┼───╢
║227│195│235│203│252│211│179│219│187║
╟───┼───┼───┼───┼───┼───┼───┼───┼───╢
║186│226│194│243│202│251│210│178│218║
╟───┼───┼───┼───┼───┼───┼───┼───┼───╢
║217│185│234│193│242│201│250│209│177║
╟───┼───┼───┼───┼───┼───┼───┼───┼───╢
║176│225│184│233│192│241│200│249│208║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝
Every row, column and diagonal adds up to exactly 1908.
No. IX
This up-to-date magic square adds up to 1908 in quite 56 different
symmetrical ways.
╔═══╤═══╤═══╤═══╗
║469│484│472│483║
╟───┼───┼───┼───╢
║481│474│478│475║
╟───┼───┼───┼───╢
║482│471│485│470║
╟───┼───┼───┼───╢
║476│479│473│480║
╚═══╧═══╧═══╧═══╝
Here are 44 of them--
Rows 4
Columns 4
Diagonals 2
The corners 1
Corners of squares of 9 cells 4
Squares of 4 cells 9
Opposite pairs of outside cells 6
Opposite pairs of short diagonals
Such combinations as 469, 481, 485, 473 8
Such combinations as 482, 484, 472, 470
--
Total 44
There are a dozen other ways, more or less symmetrical, such as 481,
474, 483, 470; or 474, 485, 470, 479.
No. X
This is the rearrangement of the domino magic square--
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ │ │ ● │ │ ● ● │ │ ● │ │ │
│ │ │ ● │ │ ● ● │ │ ● │ │ ● │
│ │ │ ● │ │ ● ● │ │ ● │ │ │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ ● │ │ ● │ │ ● ● │ │ ● ● │ │ ● ● │
│ ● │ │ ● │ │ ● │ │ ● │ │ │
│ ● │ │ ● │ │ ● ● │ │ ● ● │ │ ● ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ ● ● │ │ ● ● │ │ ● │ │ ● │ │ ● │
│ ● ● │ │ ● ● │ │ │ │ │ │ ● │
│ ● ● │ │ ● ● │ │ ● │ │ ● │ │ ● │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ ● ● │ │ │ │ ● │ │ ● ● │ │ ● │
│ │ │ ● │ │ │ │ ● │ │ │
│ ● ● │ │ │ │ ● │ │ ● ● │ │ ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ ● ● │ │ │ │ ● │ │ ● ● │ │ ● ● │
│ │ │ ● │ │ ● │ │ ● ● │ │ ● ● │
│ ● ● │ │ │ │ ● │ │ ● ● │ │ ● ● │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ ● ● │ │ ● ● │ │ │ │ ● │ │ │
│ │ │ ● │ │ ● │ │ ● │ │ │
│ ● ● │ │ ● ● │ │ │ │ ● │ │ │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ ● │ │ ● │ │ ● ● │ │ ● │ │ │
│ │ │ │ │ ● │ │ ● │ │ │
│ ● │ │ ● │ │ ● ● │ │ ● │ │ │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ │ │ ● ● │ │ ● ● │ │ ● ● │ │ ● ● │
│ ● │ │ ● ● │ │ ● │ │ │ │ ● │
│ │ │ ● ● │ │ ● ● │ │ ● ● │ │ ● ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ ● ● │ │ ● ● │ │ │ │ │ │ ● ● │
│ │ │ │ │ │ │ │ │ ● ● │
│ ● ● │ │ ● ● │ │ │ │ │ │ ● ● │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ ● ● │ │ ● │ │ ● ● │ │ ● │ │ ● ● │
│ ● │ │ │ │ │ │ │ │ ● ● │
│ ● ● │ │ ● │ │ ● ● │ │ ● │ │ ● ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
The three-ace, which was a corner stone in the former diagram now
occupies the centre, and the rearrangement was effected by first
transferring the two bottom rows to the top, and then the fourth and
fifth columns to the extreme left. This method of shifting the stones
does not affect the magic quality of the square.
No. XI
The affinity between chess and numbers is well illustrated by the
Knight’s tour on this diagram--
[Illustration]
The Knight starts from the square marked 1, and returns at last to it.
The constant difference between any opposite and corresponding numbers
in cells that are equidistant from the centre is 18.
No. XII
Here are the cells in the diagram of our Numbers Patience, so filled in
that each of the rows across from side to side adds up exactly to 143.
╔═══╤═══╤═══╤═══╤═══╗
║ 17│ 30│ 41│ 31│ 24║
╟───┼───┼───┼───┼───╢
║ 18│ 32│ 13│ 46│ 34║
╟───┼───┼───┼───┼───╢
║ 11│ 12│ 14│ 50│ 56║
╟───┼───┼───┼───┼───╢
║ 51│ 19│ 42│ 16│ 15║
╟───┼───┼───┼───┼───╢
║ 22│ 21│ 35│ 45│ 20║
╚═══╧═══╧═══╧═══╧═══╝
Each cell contains, in accordance with the conditions, a different
number.
No. XIII
This is the division of a square into fifteen parts, which will form the
windmill:--
[Illustration]
This puzzle may, of course, be reversed, the parts of the square being
given, and the solver asked to form with them a symmetrical windmill.
No. XIV
In this nest of 49 squares it is possible to count 784 distinct
interlacing figures, whose opposite sides are equal, and whose angles
are all right angles.
┌───┬───┬───┬───┬───┬───┬───┐
│ │ │ │ │ │ │ │
├───┼───┼───┼───┼───┼───┼───┤
│ │ │ │ │ │ │ │
├───┼───┼───┼───┼───┼───┼───┤
│ │ │ │ │ │ │ │
├───┼───┼───┼───┼───┼───┼───┤
│ │ │ │ │ │ │ │
├───┼───┼───┼───┼───┼───┼───┤
│ │ │ │ │ │ │ │
├───┼───┼───┼───┼───┼───┼───┤
│ │ │ │ │ │ │ │
├───┼───┼───┼───┼───┼───┼───┤
│ │ │ │ │ │ │ │
└───┴───┴───┴───┴───┴───┴───┘
Of these 784 rectangles 140 are squares.
No. XV
This is the domino magic square, in which all the stones are used except
double-six, double-five and six-five.
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ ● │ │ ● │ │ │ │ ● │ │ │
│ ● │ │ ● │ │ │ │ │ │ ● │
│ ● │ │ ● │ │ │ │ ● │ │ │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ ● ● │ │ │ │ ● ● │ │ ● │ │ ● ● │
│ ● │ │ │ │ ● ● │ │ │ │ ● │
│ ● ● │ │ │ │ ● ● │ │ ● │ │ ● ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ │ │ ● │ │ │ │ ● ● │ │ │
│ ● │ │ ● │ │ ● │ │ ● │ │ │
│ │ │ ● │ │ │ │ ● ● │ │ │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ │ │ ● │ │ ● ● │ │ ● ● │ │ ● ● │
│ ● │ │ │ │ ● ● │ │ │ │ │
│ │ │ ● │ │ ● ● │ │ ● ● │ │ ● ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ ● │ │ ● ● │ │ │ │ ● │ │ ● │
│ │ │ ● ● │ │ │ │ │ │ │
│ ● │ │ ● ● │ │ │ │ ● │ │ ● │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ ● ● │ │ ● ● │ │ │ │ │ │ ● ● │
│ ● ● │ │ │ │ │ │ ● │ │ │
│ ● ● │ │ ● ● │ │ │ │ │ │ ● ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ │ │ │ │ ● │ │ ● ● │ │ ● │
│ │ │ ● │ │ │ │ ● ● │ │ ● │
│ │ │ │ │ ● │ │ ● ● │ │ ● │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ │ │ ● │ │ ● ● │ │ ● │ │ ● │
│ ● │ │ ● │ │ ● │ │ ● │ │ ● │
│ │ │ ● │ │ ● ● │ │ ● │ │ ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
│ ● ● │ │ ● ● │ │ ● │ │ │ │ │
│ │ │ │ │ ● │ │ │ │ │
│ ● ● │ │ ● ● │ │ ● │ │ │ │ │
├─────┤ ├─────┤ ├─────┤ ├─────┤ ├─────┤
│ ● ● │ │ │ │ ● ● │ │ ● │ │ ● ● │
│ │ │ ● │ │ │ │ │ │ ● │
│ ● ● │ │ │ │ ● ● │ │ ● │ │ ● ● │
└─────┘ └─────┘ └─────┘ └─────┘ └─────┘
All rows, columns and diagonals add up to 27, as do the stones in the
four corner cells and the four central border cells of the full square,
and of the square of nine cells in the middle.
No. XVI
Those to whom games of Patience appeal will find an interesting and
pretty form of it in the construction of a pyramid with a complete set
of dominoes.
┌───┬───┐
│ 5 1 │
└───┴───┘
┌───┬───╥───┬───┐
│ 3 1 ║ 5 3 │
└───┴───╨───┴───┘
┌───┬───╥───┬───╥───┬───┐
│ 2 ║ 3 3 ║ 6 4 │
└───┴───╨───┴───╨───┴───┘
┌───┬───╥───┬───╥───┬───╥───┬───┐
│ 2 1 ║ 5 6 ║ 1 ║ 5 4 │
└───┴───╨───┴───╨───┴───╨───┴───┘
┌───┬───╥───┬───╥───┬───╥───┬───╥───┬───┐
│ 3 4 ║ 2 6 ║ 6 ║ 4 ║ 2 3 │
└───┴───╨───┴───╨───┴───╨───┴───╨───┴───┘
┌───┬───╥───┬───╥───┬───╥───┬───╥───┬───╥───┬───┐
│ ║ 5 5 ║ 2 2 ║ 4 4 ║ 1 1 ║ 6 6 │
└───┴───╨───┴───╨───┴───╨───┴───╨───┴───╨───┴───┘
┌───┬───╥───┬───╥───┬───╥───┬───╥───┬───╥───┬───╥───┬───┐
│ 3 6 ║ 6 1 ║ 5 2 ║ 4 2 ║ 4 ║ 5 ║ 3 │
└───┴───╨───┴───╨───┴───╨───┴───╨───┴───╨───┴───╨───┴───┘
Solvers may like to study the position given, which is one of many that
are possible, and to discover for themselves the ruling conditions which
are its characteristics.
No. XVII
When the boy’s father came up just in time to stop him from breaking out
of bounds, and said, “Never throw a leg, lad,”
[Illustration]
the rest of the sentence, spelt with _exactly the same letters_, was
“over the garden wall!”
No. XVIII
“Catastrophe,” the title of the tragedy foreshadowed, can be recast into
“_A cat! stop her!_” By similar process the words, “New parrot stand in
a house,” become “_He turns on a soda-water tap!_”
[Illustration]
The parrot’s ready resource and triumph is depicted here with striking
effect.
No. XIX
When the judge at a baby show said to the mother of the small boy whose
thumb was in his mouth, “Your lad Tommy likes such tit-bits,” the
precocious child replied, as he removed his comforting hand, in a
sentence spelt with _exactly the same letters_, “So to-day, sir, I suck
my little thumb.”
[Illustration]
No. XX
When the lady sitting at the back of this overloaded wagonette said to
her husband, “This big load quite hinders his pull,” in her sympathy
with the struggling horse,
[Illustration]
he made this very practical reply, in a sentence spelt with _exactly the
same letters_: “Do sit quiet, girl; I shall push behind!”
No. XXI
When a bystander whispered to the marker, “Eh! what a stout player is
striking!”
[Illustration]
an appropriate reply, spelt with _exactly the same letters_, would have
been: “He plays without taking a rest, sir.”
No. XXII
The two English words appropriate to this picture--
[Illustration]
which have as their anagrams “Or not a man first,” and “O I love nuts!”
are _Transformation and Evolutions_.
No. XXIII
This is a fancy portrait of William--
[Illustration]
We decide by anagram whether this is _William or dear Jack_, for these
words, when recast, spell “I am Will, a card joker!”
No. XXIV
The word indicated by this picture in combination with the lines below
it--
[Illustration]
Begin with the end of my first,
And then you will find out the rest;
For it all will appeal to your thirst,
Or point to a ponderous guest.
is _Stout_.
No. XXV
The words of Jigger’s wife, when she said that he seemed to be in a “sad
pet,” were true by anagram.
[Illustration]
His ball hugs the cushion so closely as to be completely _pasted_.
No. XXVI
When, as they held on to the fractious cow, the farmer exclaimed, “See,
we hold this cow’s horns and tail,”
[Illustration]
his foreman, using exactly the same letters in his sentence, said--
“She cannot toss, her wild head is low.”
No. XXVII
While the horse shown in this picture might be saying, if it could
speak, “I’m a train’d stepper!”--
[Illustration]
the driver, from his point of view, might say, as he held him in check,
“Spirit and a temper!” making use in his words of _exactly the same
letters_.
No. XXVIII
When one onlooker, seeing the artist working with his feet, said--
“Why, now I see this fine artist has no hand!”
[Illustration]
the other replied, using exactly the same letters,
“He draws in any fashion with his ten toes!”
No. XXIX
When her husband, showing this picture
[Illustration]
said to his wife, “This is a wine bottle, dear, on a lure,” she, knowing
that temptation in this form would fail, said, as she glanced at his
illustration of their aims, in words spelt with exactly the same
letters:--
“And see, he will not rise at our bait!”
No. XXX
The sturdy musician, who had said, “What shall I play?” to which some
one replied, “Any strains of Beethoven, he charms all!” as this was not
an acceptable suggestion, struck up a piece after his own heart.
[Illustration]
He said, as he struck the strings, in a sentence composed of exactly the
same letters--“Nay, for this ’cello heaven sent a Brahms!”
No. XXXI
Here is the picture of a parsnip lying across a swede readjusted and
reversed.
[Illustration]
We gave as a clue the anagram--
“Here is our parsnip on swede.”
ANAGRAM
_Wise and superior person he!_
but this is now hardly needed to show who is thus represented in
friendly caricature: (With apologies to G. B. S.)
No. XXXII
The letter puzzle is solved thus--
L E V E L
E E E E
V V V
E E E E
L E V E L
Within this square the word LEVEL runs in twelve different directions,
being itself a palindrome.
No. XXXIII
The sentence formed with the ten letters above the line, which is the
key to this sum, is _Do your best_. If these letters are numbered
consecutively 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, and the corresponding
figures are substituted for the letters, the sum works out as is shown
in the second diagram--
S B 9 7
R E 6 8
Y D 3 1
O T 4 0
U O 5 2
------ -----
O E E 2 8 8
===== =====
No. XXXIV
The twelve names of flowers and foliage that may be gathered within
these borders, by moving in any direction one square at a time,
╔═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║ 1 │ 2 │ 3 │ 4 │ 5 │ 6 │ 7 ║
║ L│ L│ B│ H│ P│ E│ F║
╟───┼───┼───┼───┼───┼───┼───╢
║ 8 │ 9 │10 │11 │12 │13 │14 ║
║ L│ Y│ E│ L│ O│ R│ N║
╟───┼───┼───┼───┼───┼───┼───╢
║15 │16 │17 │18 │19 │20 │21 ║
║ I│ V│ B│ R│ I│ V│ K║
╟───┼───┼───┼───┼───┼───┼───╢
║22 │23 │24 │25 │26 │27 │28 ║
║ A│ L│ E│ T│ O│ N│ I║
╟───┼───┼───┼───┼───┼───┼───╢
║29 │30 │31 │32 │33 │34 │35 ║
║ C│ N│ A│ S│ U│ L│ P║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╝
are 18, 26, 32, 24, _Rose_; 25, 33, 34, 28, 35, _Tulip_; 35, 28, 27, 21,
_Pink_; 31, 32, 25, 24, 18, _Aster_; and, in similar ways, _Verbena_;
_Salvia_; _Ivy_; _Lily_; _Lilac_; _Heliotrope_; _Fern_; and _Bell_.
No. XXXV
The solution of this little problem, set by Dr Puzzlewitz on his
blackboard to test the powers of his young pupils--“What are the values
of A and B, when 4 is the result of dividing A by B, or of subtracting B
from A?”--