The Minneapolis journal. [volume] (Minneapolis, Minn.) 1888-1939, 1905-06-24
124,6e0
096,421
2S,269

And 2 plus plus plus plus equals p, and
Leaving the figure 9, notice two curiosities
OF numbers, which are, perhaps not SO well known as
the popularity that when multiplied by either l.
81 T. it gives the figures in the ORDER
but beginning at different point Thus multiplied by
the number appears l42857; by it becomes 2S5,714
by B. 1885 by A. 81 428 by 1926; and by 6,
s57142 When multiplied by the number gives e9eeee
And if multiplied by 8, get 1885, and adding the
initial to the final we get the original number
Another number which is curious in it's way is 81,
which, rule, when multiplied by g. any multiple
of g. gives of figures all alike Thus times 81
ILL., times 81 222, 9 times 81 1873, ETC., etc.
Some of the greatest mathematicians have devoted
their leisure to the invention of arithmetical
paradoxes the most noted being Jacques Ozanam, who
published his famous 'Recreations in Mathematics"
about the middle of the seventeenth century Many OF
the problems invented by Ozonam are extremely ingen-
ous appears have been the originator of that
order of puzzle which depends ON the question being hrt
inverted AS specimens, quote one or two:
If goose weigh pounds and half its own weight,
how much does it weighs
Nine persons out of ten jump at conclusions, and
reply pounds But little thought will serve to show
that it must be eight pounds.
If dog and a cat cost 81 1os and the dog cost e.
pounds than the cat what did the cat cost?
Here again the correct answer is 5s, not los
If fowl and half lay egg and half in day
and half how many eggs will 6 fowls lay in 7daysY
This is equivalent to fowl laying an egg every 80
hours, and multiplied by divided by ~ equals 2
1t is curious to note how the mind can be deceived
by the wording of very simple question For example,
asked soveregns worth of silver and received
it shings and On counting ne round that
he had one sxpence more than he had shillngs. How
was impulse at first to declare the state
ment to impossible An odd sixpence must mean
odd under the exact pound But 1t does
not follow that the gentleman received odd six
pence AS matter of fact he received l3 shlngs and
IA sixpences
All the above problems simple. But there are
MANY complicated and elaborate puzzles which due to
the manipulation of numbers. Speaking generally these
may be divided into two classes; first those IN which the
whole manipulation is directed toward q bufng'' the
audience and second in which the solution Of the
problem depends property Of certain figure IN
most instances the figure involved being ~ l append
examples Of both.
The first problem comprises method by which a
word thought of in any book may be :" divided The
method which is infalble, is as follows:
e A person is requested to take book-any book,
and open it at any page he chooses He then asked
mentally to select word he likes but in order to SIM
pfy the working you ask him to take word within the
first ten lines than the tenth word from the end
of the line. will suppose that the guesser fixes ON
the eighth word in the fifth line page 3D. The follow
ing process is then gone thru. You tell him to-
Double the number of the page, which he does and
gets ~
Multiply by ooo
Add 20 ooo
Add the number of the line .................. $50
Add .oo
Multiply by 10 oSoo
Add the number of the word in the line 1908
Subtract 25O oooo
Yon then ask the final number is, and on being
told $685. you reply that the word thought OF was the
eighth word fifth line page &c. and the victim