(71) They put one plank across the angle; the end of the
other resting on it will reach the island.
(72) 283; 224.
(73) 23; 24.
(74) Gallons 1207·45, diameter 6 ft., height 6 ft, 10¼ in.
(75) 76; 24.
(76) One travels West and the other East going round the
world once a year; one will gain one day per annum,
and the other will lose a day. In 50 years the
difference will amount to 100 days.
(77) Diameter 87032 miles, circumference 273529 miles,
area 23805775928 miles.
(78)
+-----+-----+-----+
| 621 | 642 | 627 |
| | | |
| 636 | 630 | 624 |
| | | |
| 633 | 618 | 639 |
+-----+-----+-----+
(79) The two ends of the box are placed so that they lap
over the two sides, and the wood being one inch
thick the length is thus increased by 2 inches.
(80) 96s.
(81) First £25 5s., second £28 5s., third £30 5s., fourth
£36 5s.
(82) [Illustration]
(83) (5-5/5)·5.
(84) 10 inches.
(85) 5 miles 1300 yds.
(86) £10.
(87) 10, 22, 26.
(88)
987654321 = 45 555555555 = 45
123456789 = 45 or 99999 = 45
--------- ---------
864197532 = 45 555455556 = 45
(89)
The 1st part 8 add 2 = 10
" 2nd " 12 subtract 2 = 10
" 3rd " 5 multiply by 2 = 10
" 4th " 20 divide by 2 = 10
----
45
(90)
3025. 30 plus 25 = 55 which squared is 3025
9801. 98 plus 01 = 99 which squared is 9801
(91) 3 children.
(92) 36 inches.
(93) The difficulty is to determine what would have been
the will of the testator had he foreseen that his
wife would be delivered of twins. As he desired that
in case his wife brought forth a son he should have
⅔ of his property, and the mother ⅓, it follows
that his intention was to give his son a sum double
to that of the mother; and as he desired in the
other case that if she brought forth a daughter the
mother should have ⅔ and the daughter ⅓, there
is reason to conclude that he intended the share
of the mother to be double that of the daughter;
consequently, to unite these two conditions, the
heritage must be divided in such a manner that the
son may have twice as much as the mother, and the
mother twice as much as the daughter. Thus we get--
Son’s share, £4000
Mother’s " £2000
Daughter’s " £1000
Sometimes the following difficulty is proposed in regard
to this problem:--In case the mother should have
two sons and one daughter, in what manner must
the property be divided then? We refer you to the
lawyers.
(94) 23 years 289 days--a little less than 24 years.
(95) [Illustration]
(96) 1650 ft. deep; 1½ minutes.
(97) [Illustration]
(98)
Man, 69 yrs 12 weeks
Woman, 30 yrs 40 weeks
(99) A 18 hours, B 22½.
(100) 3 and 2.
(101) 12 pence.
(102) 50s.
(103)
It is used so in the question. The answer generally
given is found in the Bible (Judges xvi, 7 and 8).
Samson was bound with “seven green withs.”
(104)
32 or 46 or 95-72/36 or 14
57 35 1-8/4 76
--- ---------
89 17 100 5
---
1 98 3
---
6 2 98
---
4 100 2
--- ---
100 100
(105)
56 or 20 or 40
24 8 36
---
80 7 15
1 35 7
9 46 98
3 19 2
--- ---
7 100 100
---
100
(106) 44 feet.
(107) 8 persons.
(108) 8¼.
(109) The stone should fall into his hand.
(110) 6⅗ days.
(111) £5 8s. 6d.
(112) TEN
(113)
To explain this often causes much confusion. We
must take a simple illustration: I have a garden
containing 10 appletrees, all bearing fruit. Now,
there are more trees than any tree has apples on
it; there must be at least 2 trees having the same
number of apples--for instance, if No. 1 tree has
1 apple, No. 2 has 2, and so on to No. 9; when we
come to No. 10 tree, it must have the same as one
of the other trees, as it could not have 10 or more
according to our first supposition.
(114) It simply means that _four_ “nothings” equal
_one_ “nothing.”
(115) He had a half-penny, and he borrowed a half-penny.
(116) 5.
(117) 30 apples.
(118) 18 and 27.
(119)
A 3240
B 2916
C 1944
D 2052
E 1728
Electors 6480.
(120)
A £12
B £20
C £30
(121) 45 miles.
(122) 80, 60, 45.
(123) £580.
(124) Hendrick and Anna. Claas and Catrün. Cornelius and Gertruig.
(125)
A 2304
B 1296
(126) £19,005.
(127) 15 days.
(128)
1st £2180 3s. 4¼d.
2nd £2380 15s. 11¼d.
3rd £2599 17s. 9¾d.
4th £2839 2s. 10¾d.
(129) 1-2/18 minutes.
(130) 36 pyramids.
(131) 82·076 feet.
(132) 55-5/5 = 56 = 4 x 4 plus 40.
(133) 6 women. 10⅞d. per yard.
(134) A 21. B 28. Youngest child 7.
(135)
We see that each of the members present paid 4d.
to make up 5s. There must have been 15 persons
present when the bill was paid, and consequently 18
at dinner. Now, it is evident that the classes are
as 2, 3, and 4, making 4 Officers, 6 Non-com’s,
and 8 Privates. Again, it is evident that 5s. being
the sum to be paid by 1 Com. and 2 Non-coms.; each
Com.’s share was 2s., and each Non-com’s 1s.
6d., and from the conditions of the question each
Private’s share was 1s. 3d.; those who remained had
to pay.
3 Officers, 2s. each and 4d. each 7s. 0d.
4 Non-coms, 1s. 6d. each " 7s. 4d.
8 Privates, 1s. 3d. " " 12s. 8d.
-----------
Amount £1 7s. 0d.
(136) The Alphabet.
(137) 4 glasses.
(138) 37·6992 feet.
(139) 157-1/7 square miles.
(140) 324.
(141) Bottle 2¼d., cork ¼d.
(142) 1, 4, 16, and 64.
(143) 16 days.
(144) 7¼d., 4¾d.
(145) 1st, 64; 2nd, 48; 3rd, 36; 4th, 27 gals.
(146) 1st £24, 2nd £20, 3rd £8, 4th £28.
(147)
This is one of those _impossible_ questions that
one often hears. The fractions, when added together,
equal 19/20. So the whole £1 _cannot be so divided_.
The following solution is often put forward:--
⅓ plus ¼ plus ⅕ plus ⅙ = 20 plus 15 plus 12 plus 10 = 57
-------------------------- --
60 60
s.
20 x 20 = 400 div. 57 = 7-1/57 to 1st son
15 x 20 = 300 div. 57 = 5-15/57 " 2nd "
12 x 20 = 240 div. 57 = 4-12/57 " 3rd "
10 x 20 = 200 div. 57 = 3-29/57 " 4th "
--------
20s.
(148)
The locomotive pushes No. 1 truck up to the points,
then returns to the opposite siding and pushes No. 2
up to No. 1 at the points; the two trucks are then
pulled by the locomotive down the siding and pushed
on to the main line to a position anywhere between
the two sidings; No. 1 is then uncoupled and left
standing, whilst the locomotive pulls No. 2 along
the main line in order to push it up to the points
where it is left; the locomotive returns to No. 1,
and pulling it a short distance, in order to get
on the proper siding, pushes it into its required
position, uncouples, and proceeds up the other
siding to the points to pull No. 2 into its proper
place, then uncouples and returns to the main line.
(149) 14,400 quarts
(150) A, 2s. 7½d.; B, 1s. 1½d.; C, 9d.
(151)
1st Company, £2400
2nd " 1800
3rd " 1600
4th " 1500
-----
£7300
(152) Lines, 29; letters, 32.
(153) Major £100, minor £60.
(154) From A £88, from B £44.
(155) [Illustration]
(156) 25 miles from Sydney.
(157) 4½ miles.
(158) 108.
(159)
Two-thirds of SIX is IX; the upper half of XII is VII;
The half of FIVE is IV; and the upper half of XI is VI.
(160) £12 12s. 8d. = 12128 farthings.
(161) J £660, M £440, B £220.
(162) Masons 20s., Bricklayers 15s., Laborers 10s.
(163) £29 19s. 9¼d.
(164) 2 years.
(165) [Illustration]
This draught puzzle can also be done in three other ways.
(166)
Wife £4650
Son 6200
Eldest daughter 3100
Youngest " 1550
------
Total £15,500
(167) [Illustration]
(168) 18.
(169) 6¼ per cent.
(170)
19 movements
19 feet
(171) 895 and 11,277.
(172) 56 quarts.
(173) 20; 50 gals.
(174) 117 ft. 9 in.
(175) 1st 1¼d., 2nd ¾d.
(176)
The lazy sundowner 2 days at 2 hours per day = 4 hours
" second " 4 " " 4 " " " = 16 "
" third " 6 " " 6 " " " = 36 "
" fourth " 12 " " 12 " " " = 144 "
--------
200 hours
(177) 17777873.
(178)
The “catch” is in the word _ears_; he carries
out two ears on his head and one ear of corn each
day--hence it will take 6 days.
(179) My daughter.
(180) Man 3s., boy 2s.
(181) 11·9.
(182) 72 gals.
(183)
The landlord would lose by such an arrangement, as
the rent would entitle him to 2/5 of the 18; the
selector should give him 18 bushels from his own
share after the division is completed.
(184) £1 6s. 8d., £1 13s. 4d.
(185) 3.362 inches.
(186) The merchant, 1d.
(187)
Train from London 44 miles per hour
" " Edinburgh 53-7/9 " " "
(188)
A gentleman and one servant go over; the gentleman
returns with the boat, 2 servants go over; 1 servant
returns; 2 gentlemen go over; 1 gentleman and 1
servant return; 2 gentlemen go over; 1 servant
returns; 2 servants go over; 1 servant returns; the
two servants then go over.
(189)
Imperfect. (Sample of questions we receive daily.
Give it to your friends: it will annoy them.)
(190) 14, 112, 378, 896.
(191) 120 lbs.
(192) 80 years.
(193) 6-6/6.
(194) 13 trains.
(195) Distance, 12½ miles; rate, 8 miles per hour.
(196) 5½ hours.
(197) A 39s., B 21s., C 12s.
(198) £10.
(199) When Pharaoh’s daughter drew a little prophet (profit)
from the banks of the Nile.
(200) 4⅘lbs.
(201) [Illustration]
(202) 30 oz. of 21, 90 oz. of 23.
(203) £1 2s. 2⅔d.
(204) 3078 ac. 3r. 2·88p.
(205) 108 trees.
(206) 792.
(207) [Illustration]
(208) 8/50.
(209) 72 inches.
(210) 99-9/9.
(211) A 5, B 7.