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
167. Arrange the 28 dominoes in such a manner as to have two squares
of each number; there are eight half-squares of each number in the
complete set--eight sixes, eight fives, &c.--so that four of the
one number comprise a square. The whole, when finished, will form a
figure like a square, resembling a wide letter =I=.
[Illustration]
168. A sum of money is divided among a number of persons; the second
gets 8d. more than the first, the third gets 1s. 4d. more than the
second, the fourth 2s. more than the third, and so on. If the first
gets 6d. and the last £5 2s. 6d., how many persons were there?
IT COULDN’T BE EXPECTED.
Teacher: “Johnny, where is the North Pole?”
Johnny: “I don’t know.”
Teacher: “Don’t know where the North Pole is?”
Johnny: “When Franklin, Nansen and Captain Andrée hunted for it and
couldn’t find it, how am I to know where it is?”
169. For a loan of 2,500,000, 4½ per cent. per annum is paid by
a mining company whose capital is £4,900,000. The working expenses
constitute 52 per cent. of the gross receipts, which amount in the
year to £965,000, and the directors set apart £44,450 as a reserve
fund. What yearly dividend do the shareholders receive?
170. If a monkey climbs a greasy pole 10 ft. high, ascending 1 ft. with
each movement of his arms, and slipping back 6 in. after each advance;
how many movements would he have to make, to touch the top, and what
height would he have climbed in all?
171. Find two numbers whose G.C.M. is 179, L.C.M. 56385, and
difference 10382.
172. What is the difference between twenty four-quart bottles, and
four and twenty quart bottles?
THE G.C.M.
The Greatest Common Measure--A “long pint.”
173. There are two casks, one of which holds thirty gallons more than
the other. The larger is filled with wine, the smaller with water.
Ten gallons are taken out of each: that from the first is poured into
the second; the operation is repeated, and it is now found that the
larger cask contains 13 gallons of water. Find the contents of each
cask.
174.
In the midst of a paddock well stored with grass,
I engaged just an acre to tether my ass;
What length must that cord be, in grazing all round
That he may graze over just one acre of ground?
175. If three first-class cost as much as five second-class tickets
for a journey of 100 miles, the total cost of the eight tickets
being £3 2s. 6d., find the charge per mile for each first-class and
second-class ticket.
HUMILITY.
In a certain street are three tailors. The first to set up shop hung
out this sign--“Here is the best tailor in the town.” The next put
up--“Here is the best tailor in the world.” The third simply had
this--“Here is the best tailor in this street.”
“On the Wallaby.”
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