Part 11

(214) It does not matter on which square the knight is first placed, his last square to enter will be at a knight’s distance from the first. The route may be varied in many ways.

[Illustration]

(215) 2.

(216) A £3, B £6, C £18.

(217) Cannot be answered.

(218)

+------+------+------+ | | | | | 8 | 256 | 2 | | | | | +------+------+------+ | | | | | 4 | 16 | 64 | | | | | +------+------+------+ | | | | | 128 | 1 | 32 | | | | | +------+------+------+

(219)

Even, £6 against £6--£12 2 to 1, £8 against £4--£12 3 to 1, £9 against £3--£12 -- £13 Received.

Whichever horse wins, he must pay £12, and has received £13 to pay with.

(220) 8.

(221) 9 to 8 _on_.

(222) 1 lb. of feathers by 1240 grains; 1 oz. of gold by 42·5 grains.

(223) [Illustration]

(224) Sovereigns, 4; half-crowns, 8.

(225) Count backwards, saying 20, 19, 18, 17, with emphasis on the _17_, remarking “That’s odd, isn’t it?” The reply will be “Yes.” Proceed in that manner throughout. This question and No. 6, although not the best of “catches,” are often asked.

(226)

SIX IX XL IX X L ----------- S I X

(227) Man 24, woman 16.

(228) 72 miles.

(229) The diameter of the earth.

(230) £420.

(231) ·000011574.

(232) 18 seconds.

(233) 19·405 inches.

(234) [Illustration]

He must cut the piece of veneer as shown by the middle figure, when he will be able to get his two ovals.

(235) Because you double it when you put it in your pocket, and you see it in creases (increases) when you take it out.

(236) He did this in two ways;--

_Table_ Full. Half-full. Empty. 1 | 2 3 2 2 | 2 3 2 3 | 3 1 3 --------+---------------------------- 1 | 3 1 3 2 | 3 1 3 3 | 1 5 1

(242) [Illustration]

(243)

7 7 6 7 5 4 3 2 1

(244) 180.

(245) Worked 27 days, idle 33.

(246) XIX, take away I, leaves XX.

(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.

∴ AD : BD :: DC : DE or 50 plus _x_ : 25 plus _x_ :: _x_ : 25-_x_ ∴ 1250-25_x_-_x_^2 eq. 25_x_ plus _x_^2 Whence _x_ eq. 15.45 plus. ∴ Orderly rides 50 plus 30.9 plus eq. 80.9 plus eq. 80 miles 1587 yards nearly.

(273) 400 lbs.

(274) Gentleman 30, boy 15.

(275) Ride, 44 miles; area, 77,440 acres.

(276) Translation: The foundation stone of this building was laid in 1880 by Sir Charles Lilley, for many years Chief Justice, and formerly a distinguished member of the Government of this colony. He was prominent amongst those who worked for the first establishment of this school, and afterwards, by his generous gifts and by his wise counsel as a trustee, contributed greatly to its advancement. The trustees have, therefore, erected this tablet to perpetuate his memory here. A.D. 1898.

(277) The agent owes the firm £7 19s.

DIDDAMS PRINTER, BRISBANE.