John ShaqiResearch Library

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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.

Name: 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.
Author: Scott, John

Scott, John

Amusements; Mathematical recreations; Puzzles

(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)

Public-domain text, read in full here on John Shaqi.

Opening the text

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

(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)

Public-domain text, read in full here on John Shaqi.

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.

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.

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