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
(247)
The Cadi added his camel to the 17, thus making
18 in all; then the oldest son received 9, second
son 6, youngest 2. He then took his own camel, and,
departing, left the sons quite satisfied.
(248) 2, 4, 8, 16, 32, 64 lbs.
(249) 13 horses, 26 cattle, 39 pigs.
(250) 12 ft. 11⅞ in.
(251)
1st boy, 14·18 farthings
2nd " 3·82 "
(252)
Jack, 10 yrs. Tom =FIVE= Tom =F=ive
James, 9 " Bob =S=ix Bob =S=ix
Fred, 8 " Jack =T=en Fred =E=ight
Bob, 6 " Baby =O=ne Jack =T=en
Tom, 5 " James =N=ine Baby =O=ne
Baby, 1 " Fred =E=ight James =N=ine
(253) 79·26 feet.
(254) 9 plus 9 plus 9 plus 3 = 30, 39-9/9 = 40,
or 28-2/1 = 30, 28 plus 12 = 40.
(255) 5d.
(256) 196078431372549. Method: Keep on adding imaginary
3’s until it comes out thus--17)33/17(196078431372549
To prove it:-- 196078431372549
17
----------------
Proof-- 3333333333333333
(257)
28 eggs. Method: 1½ hens lay 1½ eggs in 1½ days
1½ " " 3 " " 3 "
3 " " 6 " " 3 "
3 " " 2 " " 1 "
6 " " 4 " " 1 "
6 " " 28 " " 7 "
(258) Tom, 4s. 6d. per day; Bill, 3s.
(259) 1000.
(260) 1 inch remainder.
(261) [Illustration]
(262) 393,213 shillings.
(263) 2/9.
(264) 9½.
(265) 4 seconds.
(266) Loses £50.
(267) He will never enter the water, because the frog’s
jump, at any time, is only half-way to the water.
(268) [Illustration]
(269) 1⅔ minutes.
(270) 49 years.
(271) 3 minutes.
(272)
| | | | |
-----------+----------+-----+-----+--
A B C D E
Let A be starting point of Orderly; B be starting point
of General; C be point at which Orderly returns
to his place, the rear having marched 50 miles to
this point; D be point at which Orderly delivers
his despatches; E be destination of front rank or
General of Army.
Let _x_ eq. number of miles between C and D.
Then AD eq. (50 plus _x_) miles; BD eq. (25 plus _x_)
miles; DE eq. (25 minus _x_) miles; and AD plus DC
eq. (50 plus 2_x_) miles, and is the total distance
the Orderly travels.
Now Orderly rides from A to D, while General marches
from B to D, and Orderly returns from D to C, while
General marches from D to E, and Orderly and Army
travel at a uniform rate.
Public-domain text, read in full here on John Shaqi.
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