The puzzle king : $b Amusing arithmetic, book-keeping blunders, commercial comicalities, curious "catches", peculiar problems, perplexing paradoxes, quaint questions, queer quibbles, school stories, interesting items, tricks with figures, cards, draughts, dice, dominoes, etc., etc., etc.Scott, John
Science
The puzzle king : $b Amusing arithmetic, book-keeping blunders, commercial comicalities, curious "catches", peculiar problems, perplexing paradoxes, quaint questions, queer quibbles, school stories, interesting items, tricks with figures, cards, draughts, dice, dominoes, etc., etc., etc.
Scott, John
Amusements; Mathematical recreations; Puzzles
2nd. That when in ascending diagonally we come to a square already
occupied, we must place the number which, according to the 1st rule
should go into that occupied square directly under the last number
placed: thus, in ascending with 4, 5, 6, the 6 must be placed under
the 5, because the square next to 5 in diagonal direction is occupied.
A Promising Sign--I O U.
HOW TO FIND THE TOTAL OF A ROW OF FIGURES IN A MAGIC SQUARE.
_Rule._--Multiply half the sum of the extremes by the square root of
the greatest extreme.
Referring to the example given above, we see that the extremes 1 and
25 added equal 26--half of which is 13; this multiplied by 5 (the
square root of 25) gives 65 as the total for each row.
Again, in the next question, the two extremes 1 and 81 equal 82, half
of this sum is 41, which multiplied by 9 (the square root of 81)
gives 369 as the total for each row.
42. Arrange the figures from 1 to 81 in a square that when added up
horizontally, vertically, or diagonally the sum will be 369.
HOW THEY WORKED IT.
Mick and Pat, working in the country some distance from a hotel,
arranged with the landlord to take to their hut a small keg of rum.
They were unable to pay for the liquor at the time, having only one
threepenny piece between them; but Mick proposed that every time he
had a drink he would give Pat threepence, and Pat also agreed to
pay Mick for his drinks, the cash thus gathered to be brought to
the publican when the keg was empty. This proposal was accepted by
the publican, the keg of rum handed over to the two Irishmen, who
immediately started on their journey. They had not proceeded very far
before their burden made them thirsty. Mick is the first to pull up
with: “Hold on, Pat, I think I’ll have a drink.” “Begorra,” replied
Pat, “you’ll have to pay me for it then.” Mick hands the 3d. to Pat
before having a good “pull.” Pat now being the possessor of the price
of a drink, slakes his thirst by paying Mick 3d. for it. This form
of payment is kept up till the rum has disappeared. On their next
visit to the hotel, the 3d piece is handed to the landlord as being
payment, according to terms of agreement adopted by him.
43. Arrange the figure’s from 1 to 9 in a square, so that they will
add up to 15, horizontally, vertically, or diagonally.
44.
[Illustration: N.B.--Note this:]
[Illustration]
45. A man sold a horse for £35 and half as much as he gave for it,
and gained thereby 10 guineas. What did he pay for the horse?
THE DISHONEST SERVANT.
46. A gentleman having bought 28 bottles of wine, and suspecting his
servant of tampering with the contents of the wine cellar, caused
these bottles to be arranged in a bin in such a way as to count 9
bottles on each side. Nothwithstanding this precaution, the servant
in two successive visits stole 8 bottles--4 each time--re-arranging
the bottles each time so that they still counted 9 on a side. How did
he do it?
Public-domain text, read in full here on John Shaqi.
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