智力问答Mind Quiz.docx

智力问答Mind Quiz.docx

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智力问答MindQuiz

智力问答（MindQuiz）

智力问答（MindQuiz）

Thefirstpartbeginswiththetopic:

Therearetwounevendistributionofincense,incenseburningtimeisanhour,youcanusewhatmethodtodetermineaperiodof15minutes?

Amanagerhasthreedaughters,threedaughtersageaddupto13,thethreedaughtersoftheagebyuptomanageroftheirage,thereisasubordinatealreadyknowthemanager'sage,butstillcannotdeterminethemanagerofthethreedaughtersoftheage,themanagersaidthatonlyadaughter'shairisblackthen,thesubordinateknewthemanagerthreedaughtersage.What'stheageofthethreedaughters,please?

Why?

Therearethreepeopletogotoahotel,livingroom,eachroom$10yuan,sotheypaidatotalofseconddays,$30boss,thebossthinkthreeonlyneed$25yuanisenoughsothatIreturnedto$5tothreeguests,whoknowsIgreedy,onlytoreturneach$1,hesecretlytook$2,likethisthatisthethreeguestseachspentnineyuan,sothreepeoplespentatotalof$27,plustheboypocketed$2,atotalof$29.Butwhenthreeofthempaid$30,whatabout$1?

Therearetwoblindmen,theyeachboughttwopairsofblacksocksandtwopairsofwhitecloth,thesizeoftheeightpairsofsocksareidentical,andeachpairofsockshavealabelattachedto.Thetwoblindmenaccidentallymixedtheeightpairsofsockstogether.Eachofthemhowtoretrievetheblacksocksandwhitesocksfortwo?

AtrainleavesLosangelesatthespeedof15kilometersperhour,headingforNewYork,anothertrainfromNewYorktoLosangelesat20kilometersperhour.Ifabird,startingat30kilometresperhourandtwotrainatthesametime,startingfromLosangeles,metanothercarback,turninthetwocartrainflewbackandforth,untilthetwotrainmeet,excuseme,thisbirdflyalongdistance?

Youhavetwocans,50redmarbles,50bluemarbles,arandomselectionofajar,arandomselectionofamarbleintothejar,howtogivetheredmarblethebiggestchoice?

Whatistheexactchanceofgettingtheredballinyourplan?

Youhavefourjarscontainingpills.Eachpillhasacertainweight.Thecontaminatedpillsarenotcontaminatedbyweight+1.weighingonce.Howdoyoudecidewhichpot'smedicineiscontaminated?

Youhaveabarrelofjelly,inwhichtherearethreekindsofyellow,greenandred.Closeyoureyesandgrabtwokindsofjellyofthesamecolor.Grabjustafewtomakesureyouhavetwojellyofthesamecolor

Agroupofnumbered1to100,allswitchupward（open）thelightofthefollowingoperations:

allreversedirection1multiplesofadialswitch;theoppositedirectioninmultiplesof2andadialswitch;theoppositedirectioninmultiplesof3andadialswitch......Q:

numberoflightsthatarefinallyturnedoff.

Imagineyourselfinfrontofthemirror.Askwhythemirror

imagecanbeturnedupsidedown,butitcan'tbeturnedupsidedown

Agroupofpeoplewerehavingaball,eachwearingahatontheirheads.Hatsareonlyblackandwhite,two,blackatleastone.Everyonecanseethecolorofotherpeople'shats,butcannotseetheirown.Thehostwillletyouseewhatotherswearontheirheads,andthenturnoffthelights.Ifsomeonethinksheiswearingablackhat,hewillslaphimselfintheface.Turnoffthelightsforthefirsttime,nosound.Thenyouseeitagain,turnonthelights,turnoffthelightswhenstillinperfectsilence.Untilthethirdtimetoturnoffthelights,onlythevoicesoundedpatslapping.Howmanypeoplearewearingblackhats?

Thetworings,withradiiof1and2,areroundedinthebigcircle,roundMonday,andthesmallcircleitselfturnsforafewweeksIfit'soutsidethebigcircle,thesmallcircleitselfturnsforafewweeks

Ifevery3emptybeerbottlescanchangeabottleofbeerandsomeonebuys10bottlesofbeer,howmanybottlesofbeercanhedrinkatmost?

Answer:

Incensealightahead,incenseBlitbothends.WhentheincenseBfinished,thetimepassed30minutes.TheotherendoftheincenseAisalsolit.Fromthenon,theaburns15minutes.

Theageofthreewomenshouldbe2,2,9.Becauseonlyonechild

hasdarkhair,thatis,onlyshegrewup,andtheothertwoarestilllessthan3yearsold,andtheirhairislightcolored.Theageofthemanagershouldbeatleastgreaterthan25.

Typicalconcept.Infact,3peopleonlypaid27yuan,thebossgot25yuan,theyoungerbrothertook2yuan.

Separateeachpairofsocks,onebyone.

ThelengthoftherailwaybetweenLosangelesandNewYorkisAkilometers.Thenthetwotrainsarriveatthemeeting,withA/（15+20）hours,thatis,thetimeofthebird'sflight.Sothebirdflyingdistanceisspeed*time=30*A/35=6/7ofLosangelestoNewYorkrailwaychief.

Theoddsof1/2.Firstselecttheballinthejar.Inthisway,thejarhasnoeffectonthecoloroftheball.

1canstake1pills,2canstake2pills,3canstake3pills,4canstake4pills,weighthe10pills,thanthenormalweight,afewiswhatnumberofcansofmedicine,thereisaproblem.

4.Quantity>colortype.Thecolorsmustrepeat.

Thereare10lightsforextinction,1,4,9,16,25,36,49,100,64,81,andno..Becauseeachprimenumbercanbedividedby1anditself,theprimenumberisbright.AnumbercanbedivisiblebythenumberofN,Nmustbeanevennumber.Foranumberofnonsquarenumbers,willbeNswitchisalamp,reservedforlight;forasquarenumberlistedabove,onlybytheswitchN-1,sothelightisoff.

Theaxisofmirrorsymmetryisthecenterofthehumanaxis

Therearethreepeopleinblackhats.SupposethereareNpeoplewearingblack,whenN=1,wearingblacktoseeeveryoneelseforsurehisblackAtractylodeswillbeableto.Sothereshouldbeasoundwhenyouturnoffthelightsforthefirsttime.N>1canbeconcluded.Foreveryblackman,hecanseetheN-1topblackhatandassumeitselfwhite.ButafterN-1timesnobodyhitshimself,everyblackmanknowshe'sblack.So,thefirsttimeNlightsoff,thereareNindividualsplayingtheirown.

Turnthetwocirclesinsmallcircles,bothinsideandoutside.

After10bottles,9emptybottlesareexchangedfor3bottlesofbeer（4emptybottlesafterdrinking）,andthethreebottlescanbechangedto1bottlesofbeer（2emptybottlesafterdrinking）

Atthistimehehad2emptybottles,andifhecouldborrowanemptybottlefromhisbossfirst,hewouldgetenoughofthe3emptybottlestochangetoabottleofbeer,andthenemptythebottlebacktothebosswhenhefinishedit.

Sohecandrink10+3+1+1=15bottlesatmost

Thesecondpartbeginswiththetopic:

Puzzle1（pirategoldcoin）-Pirategoldcoin

The5piratesgrabbed100goldcoin,discussedhowtomakea

fairallocation.Theyagreedontheprincipleofdistribution:

（1）drawlotstodeterminetheordernumberofeachperson'sallocation（1,2,3,4,5）;

（2）thedistributionschemewasputforwardbythepiratewhosignedtoNo.1,andthenthe5voted,iftheschemereceivedmorethanhalfofthepeopleagreed,accordingtohisplantoassign,otherwise1willbethrownintotheseatofeedsharks;

（3）ifthenumber1wasthrownintothesea,bythe2proposedallocationscheme,thentheremaining4vote,ifandonlyifmorethanhalfofthepeopleagree,willbedistributedaccordingtohisproposal,otherwiseitwillbethrownintothesea;

（4）andsoon.

Itisassumedthateverypirateisextremelycleverandrational,theyareabletocarryoutrigorouslogic,andcanjudgetheirowngainsandlosses,whichcangetthemostgoldinhislifeunderthepremise.Alsoassumethateachroundofvotingaftertheresultscanbesuccessfullyimplemented,thenpumpedtotheNo.1piratesshouldputforwardtohowtomaketheirownallocationschemenotonlywerethrownintothesea,butalsocangetmoregold?

Puzzle2（guessingquestion）

Mr.S,Mr.P,Mr.Q,theyknowthereare16cardsonthetabledrawer:

theA,Q,4,8,4,theJ2,7,3,5,Q,KFlower4,6

blockA,5.ProfessorJohnpickedoutacardfromthe16cardsandtoldMr.Pthenumberofthecards,andtoldMr.Qaboutthecolorofthecard.Atthistime,ProfessorJohnaskedMr.PandMr.Q:

youcaninferthiscardorasuitfromaknownpointiswhatbrand?

Therefore，

Mr.Shearsthefollowingdialogue:

Mr.P:

Idon'tknowthiscard.

Mr.Q:

Iknowyoudon'tknowthiscard.

Mr.P:

nowIknowthecard.

Mr.Q:

Isee.

Afterlisteningtothedialogueabove,Mr.Sthought,therighttolaunchthiscardiswhatbrand.

Excuseme:

whatbrandisthiscard?

Puzzle3（burningropeproblem）

Ittakesatotalof1hourstoburnanunevenropefromscratchtotheend.Nowthatthereareseveralropesofthesamematerial,askhowtousetheropemethodtoclockforonehourandfifteenminutes

Puzzle4（tabletennisproblem）

Supposethereare100tabletennisballs,andtwopeopletake

turnstocarrytheballintothepocket,andthe100thtabletennisplayerscanbewon.Theconditionis:

taketheballatleast1,butnotmorethan5,ask:

"ifyouarethefirsttotaketheball,youshouldtakeafew?

"Howcanyouguaranteethatyoucanget100thtabletennisballs?

Puzzle5

1yuanabottleofsoda,afterdrinkingtwoemptybottlesforabottleofsoda,asked:

"youhave20yuan,candrinkuptoafewbottlesofsoda?

"

Puzzle6（splitgoldbars）

Youlettheworkersworkforyoufor7days,andthereturntotheworkerisagoldbar.Goldisdividedinto7connectedpieces.Youmustgivethemapieceofgoldattheendoftheday,ifyouareonlyallowedtomaketwobreaksinthegoldbar,howdoyoupayyourworker?

7puzzles（GUItestonly）

Bin,pangjuanisenergy-saving;onedaytheghostoutofthisquestion:

hechosetwodifferentintegerfrom2to99