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Amusements in Mathematics
Amusements in Mathematics

Chapter XX · Chapter 20

Chapter 20 of Amusements in Mathematics is here in full — 417 sentences across 84 reading sections, with audio for every sentence and word.

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Context Illustration Reading 1/83 · 5 lines
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There are several puzzles in this book that the reader will find lend themselves readily to this method.
342.--THE MANDARIN'S PUZZLE.
The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.
Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.
The shortest solution without moving any shaded number is in thirty-two moves.
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LEARNER DICTIONARY
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Amusements in Mathematics

Chapter XX · Chapter 20

Chapter 20 of Amusements in Mathematics is here in full — 417 sentences across 84 reading sections, with audio for every sentence and word.

Reading 1/83 · 5 reading units · Lines 1–5

Line 1
There are several puzzles in this book that the reader will find lend themselves readily to this method.
/ðer ɑːr ˈsevrəl ˈpʌzəlz ɪn ðɪs bʊk ðæt ðə ˈriːdər wɪl faɪnd lend ðemˈselvz ˈredəli tuː ðɪs ˈmeθəd/
Line 2
342.--THE MANDARIN'S PUZZLE.
Line 3
The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.
/ðə ˈræðər pərˈpleksɪŋ pɔɪnt ðæt ðə ˈsɑːlvər hæz tuː ˌdɪˈsaɪd fɔːr hɪmˈself ɪn əˈtækɪŋ ðɪs ˈpʌzəl ɪz ˈweðər ðə ˈʃeɪdɪd ˈnʌmbərz ðoʊz ðæt ɑːr ʃoʊn ɪn ðer raɪt ˈpleɪsəz ɑːr mɪr ˈdʌmiz ɔːr nɑːt/
Line 4
Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.
Line 5
The shortest solution without moving any shaded number is in thirty-two moves.

Learner Dictionary

These definitions explain words found in the current reading and keep every example grounded in its original sentence.

Oxford-style entry order: headword, part of speech, US IPA, concise definition, contextual example, and audio.

attacking adjective US /əˈtækɪŋ/

disposed to attack

From this reading “The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.”

dummies noun US /ˈdʌmiz/

plural of “dummy” — a person who does not talk

From this reading “The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.”

perplexing adjective US /pərˈpleksɪŋ/

lacking clarity of meaning; causing confusion or perplexity

From this reading “The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.”

puzzle verb US /ˈpʌzəl/

be a mystery or bewildering to

From this reading “342.--THE MANDARIN'S PUZZLE.”

puzzles noun US /ˈpʌzəlz/

plural of “puzzle” — a particularly baffling problem that is said to have a correct solution

From this reading “There are several puzzles in this book that the reader will find lend themselves readily to this method.”

shaded adjective US /ˈʃeɪdɪd/

protected from heat and light with shade or shadow

From this reading “The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.”

shortest adjective US /ˈʃɔːrtɪst/

superlative of “short” — primarily temporal sense; indicating or being or seeming to be limited in duration

From this reading “The shortest solution without moving any shaded number is in thirty-two moves.”

solver noun US /ˈsɑːlvər/

a thinker who focuses on the problem as stated and tries to synthesize information and knowledge to achieve a solution

From this reading “The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.”

All words in this reading · 70

Every word in these five lines is listed here, and every one of them can be played on its own.

Dictionary details are shown only when verified; these are not licensed Oxford entries.

342

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading 342.--THE MANDARIN'S PUZZLE.

adeterminerUS /ə/

used before a singular noun to mean one of a group, when it is not a particular one

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

advantagenounUS /ædˈvæntɪdʒ/

the quality of having a superior or more favorable position

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

anyadjectiveUS /ˈeni/

one or some or every or all without specification

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

areauxiliary verbUS /ɑːr/

the form of “be” used with you, we, they, or a plural noun

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

attackingadjectiveUS /əˈtækɪŋ/

disposed to attack

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

beauxiliary verbUS /biː/

used with a past participle to form the passive, or with -ing for continuous tenses

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

booknounUS /bʊk/

a written work or composition that has been published (printed on pages bound together)

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

butconjunctionUS /bʌt/

used to introduce something that contrasts with what came before

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

canmodal verbUS /kæn/

to be able to, or to be allowed to

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

decideverbUS /ˌdɪˈsaɪd/

reach, make, or come to a decision about something

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

dummiesnounUS /ˈdʌmiz/

plural of “dummy” — a person who does not talk

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

findverbUS /faɪnd/

come upon, as if by accident; meet with

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

forprepositionUS /fɔːr/

intended to be given to, or used by, somebody

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

formnounUS /fɔːrm/

the phonological or orthographic sound or appearance of a word that can be used to describe or identify something

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

hasauxiliary verbUS /hæz/

the form of “have” used with he, she, it, or a singular noun

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

himselfpronounUS /hɪmˈself/

used when the man or boy doing the action is also its object

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

hundrednounUS /ˈhʌndrəd/

ten 10s

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

ifconjunctionUS /ɪf/

on condition that; in the event that

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

inprepositionUS /ɪn/

inside something, or within a place, period, or state

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

isauxiliary verbUS /ɪz/

the form of “be” used with he, she, it, or a singular noun

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

lendverbUS /lend/

bestow a quality on

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

MANDARIN'S

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading 342.--THE MANDARIN'S PUZZLE.

mereadjectiveUS /mɪr/

being nothing more than specified

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

methodnounUS /ˈmeθəd/

a way of doing something, especially a systematic way; implies an orderly logical arrangement (usually in steps)

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

mightmodal verbUS /maɪt/

used to say something is possible but not certain

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

movesnounUS /muːvz/

plural of “move” — the act of deciding to do something

From this reading The shortest solution without moving any shaded number is in thirty-two moves.

movingadjectiveUS /ˈmuːvɪŋ/

in motion

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

Ninety-nineadjective

being one less than one hundred and nine more than ninety

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

nodeterminerUS /noʊ/

not any; not one

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

notadverbUS /nɑːt/

used to make a word, phrase, or sentence negative

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

numbernounUS /ˈnʌmbər/

the property possessed by a sum or total or indefinite quantity of units or individuals

From this reading The shortest solution without moving any shaded number is in thirty-two moves.

numbersnounUS /ˈnʌmbərz/

the fourth book of the Old Testament; contains a record of the number of Israelites who followed Moses out of Egypt

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

ofprepositionUS /ʌv/

belonging to, or connected with, somebody or something

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

opinionnounUS /əˈpɪnjən/

a personal belief or judgment that is not founded on proof or certainty

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

orconjunctionUS /ɔːr/

used to join alternatives or possibilities

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

outadjectiveUS /aʊt/

not allowed to continue to bat or run

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

perplexingadjectiveUS /pərˈpleksɪŋ/

lacking clarity of meaning; causing confusion or perplexity

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

personsnounUS /ˈpɜːrsənz/

plural of “person” — a human being

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

placesnounUS /ˈpleɪsəz/

plural of “place” — a point located with respect to surface features of some region

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

pointnounUS /pɔɪnt/

a geometric element that has position but no extension

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

PUZZLEverbUS /ˈpʌzəl/

be a mystery or bewildering to

From this reading 342.--THE MANDARIN'S PUZZLE.

puzzlesnounUS /ˈpʌzəlz/

plural of “puzzle” — a particularly baffling problem that is said to have a correct solution

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

ratheradverbUS /ˈræðər/

on the contrary

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

readernounUS /ˈriːdər/

a person who enjoys reading

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

readilyadverbUS /ˈredəli/

without much difficulty

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

rightadverbUS /raɪt/

precisely, exactly

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

severaladjectiveUS /ˈsevrəl/

(used with count nouns) of an indefinite number more than 2 or 3 but not many

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

shadedadjectiveUS /ˈʃeɪdɪd/

protected from heat and light with shade or shadow

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

shortestadjectiveUS /ˈʃɔːrtɪst/

superlative of “short” — primarily temporal sense; indicating or being or seeming to be limited in duration

From this reading The shortest solution without moving any shaded number is in thirty-two moves.

shownverbUS /ʃoʊn/

inflected form of “show” — give an exhibition of to an interested audience

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

soconjunctionUS /soʊ/

for that reason; with the result that

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

solutionnounUS /səˈluːʃən/

a homogeneous mixture of two or more substances; frequently (but not necessarily) a liquid solution

From this reading The shortest solution without moving any shaded number is in thirty-two moves.

solvernounUS /ˈsɑːlvər/

a thinker who focuses on the problem as stated and tries to synthesize information and knowledge to achieve a solution

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

thatconjunctionUS /ðæt/

used to introduce what somebody said, thought, or felt

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

thedeterminerUS /ðə/

used before a noun that is already known, already mentioned, or the only one of its kind

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

theirdeterminerUS /ðer/

belonging to the people or things already mentioned

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

thempronounUS /ðem/

the people or things already mentioned, as the object

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

themselvespronounUS /ðemˈselvz/

used when the people doing the action are also its object

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

ThereadverbUS /ðer/

in or at that place or location

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

theypronounUS /ðeɪ/

the people, animals, or things already mentioned, as the subject

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

thirty-twoadjective

being two more than thirty

From this reading The shortest solution without moving any shaded number is in thirty-two moves.

thisdeterminerUS /ðɪs/

used for a person or thing that is near, or that has just been mentioned

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

thosedeterminerUS /ðoʊz/

the plural of “that”: the people or things further away, or already known

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

toparticleUS /tuː/

used before the base form of a verb to make the infinitive

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

whetherconjunctionUS /ˈweðər/

used to introduce two or more possibilities

From this reading The rather perplexing point that the solver has to decide for himself in attacking this puzzle is whether the shaded numbers (those that are shown in their right places) are mere dummies or not.

willmodal verbUS /wɪl/

used to talk about the future, or about willingness

From this reading There are several puzzles in this book that the reader will find lend themselves readily to this method.

withoutprepositionUS /wɪˈθaʊt/

not having, not using, or not accompanied by

From this reading The shortest solution without moving any shaded number is in thirty-two moves.

wouldmodal verbUS /wʊd/

used for something imagined, polite, or habitual in the past

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

wrongadjectiveUS /rɔːŋ/

not correct; not in conformity with fact or truth

From this reading Ninety-nine persons out of a hundred might form the opinion that there can be no advantage in moving any of them, but if so they would be wrong.

Chapter 20 of Amusements in Mathematics by Henry Ernest Dudeney holds 417 sentences, grouped into 84 reading sections of at most 5 sentences. The text is the source edition, unabridged, and the chapter records which sentences cover which part of the work so that nothing is dropped. Every word can be tapped for its pronunciation and dictionary entry.

What does chapter 20 of Amusements in Mathematics contain?

Chapter 20 holds 417 sentences of Amusements in Mathematics, unabridged, divided into 84 reading sections.

This page carries chapter 20 of Amusements in Mathematics by Henry Ernest Dudeney exactly as it stands in the source edition, without abridgement. It runs to 417 sentences, grouped into 84 sections of at most 5 sentences so that a reader can take the chapter in steady, finishable pieces. The chapter also stores a coverage record mapping every one of its sentences to a part of the work, which is how the edition demonstrates that no line was dropped.

How do I study chapter 20 of Amusements in Mathematics?

Work through the 84 sections in order, replaying any sentence and tapping unfamiliar words for their entries.

Each of the 84 sections in this chapter is short enough to read once, hear once, and then re-read with the vocabulary in view. Tapping a word plays it alone and opens its dictionary entry with IPA, part of speech and meaning, so the reader is never forced to guess a pronunciation from spelling. Working section by section keeps a long chapter from becoming an undifferentiated wall of text, which is the usual reason a reader abandons a work of this period.

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Yes — every sentence and every individual word in chapter 20 can be played aloud in United States English.

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Vocabulary met early in Amusements in Mathematics

Words and structures a reader meets early in Amusements in Mathematics, each tappable for pronunciation and meaning.

Common
A word that appears in the opening chapter of Amusements in Mathematics; the reader can tap it to hear it and see its dictionary entry.
Units
A word that appears in the opening chapter of Amusements in Mathematics; the reader can tap it to hear it and see its dictionary entry.
Penny
A word that appears in the opening chapter of Amusements in Mathematics; the reader can tap it to hear it and see its dictionary entry.
Abbreviated
A word that appears in the opening chapter of Amusements in Mathematics; the reader can tap it to hear it and see its dictionary entry.