math24文档格式.docx
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(1)p3st=728
(2)t=13Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-3inacertaingameplayedwithredchipsandbluechips,eachredchiphasapointvalueofXandeachbluechiphasapointvalueofY,whereXYandXandYarepositiveintegers.Ifaplayerhas5redchipsand3bluechips,whatistheaverage(arithmeticmean)pointvalueofthe8chipsthattheplayerhas?
(1)Theaveragepointvalueofoneredchipandonebluechipis5.
(2)Theaveragepointvalueofthe8chipsthattheplayerhasisaninteger.-Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-4Ashipmentof8televisionsetscontains2black-and-whitesetsand6colorsets.If2televisionsetsaretobechosenatrandomfromthisshipment,whatistheprobabilitythatatleast1ofthe2setschosenwillbeablack-and-whiteset?
A.1/7B.C.5/14D.11/28E.13/26Answer:
-5ThetensdigitofpositiveintegerXis3.IstheunitsdigitofXgreaterthan4?
(1)Theunitsdigitof2XislessthantheunitsdigitofX.
(2)Thetensdigitof2Xis7.-Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-6|-4|(|-20|-|5|)=A.100B.60C.60D.75E.100Answer-7WhatisthemaximumintegervalueofMforwhich12!
/2Misaninteger?
A.2B.4C.6D.10E.12Answer-8Canacertainrectangularsheetofglassbepositionedonarectangulartabletopsothatitcoverstheentiretabletopanditsedgesareparalleltotheedgesofthetabletop?
(1)Thetabletopis36incheswideby60incheslong.
(2)Theareaofonesideofthesheetofglassis2400squareinches.Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-9Theoperation*representseitheraddition,subtraction,ormultiplicationofintegers,whatisthevalueof1*0?
(1)0*2=2
(2)2*0=2Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-10Ifeachofthe12teamsparticipatinginacertaintournamentplaysexactlyonegamewitheachoftheotherteams,howmanygameswillbeplayed?
A.144B.132C.66D.33E.23Answer-11Anequilateraltrianglethathasanareaof931/2isinscribedinacircle.Whatistheareaofthecircle?
A.6piB.9piC.12piD.9pi31/2E.18pi31/2Answer-12Duringa10-weeksummervacation,wastheaverage(arithmeticmean)numberofbooksthatCarolynreadperweekgreaterthantheaveragenumberofbooksthatJacobreadperweek?
(1)TwicetheaveragenumberofbooksthatCarolynreadperweekwasgreaterthan5lessthantwicetheaveragenumberofbooksthatJacobreadperweek.
(2)Duringthelast5weeksofthevacation,Carolynreadatotalof3booksmorethanJacob.Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-13IfX,Y,andZarepositiveintegers,isYX?
(1)Y2=XZ
(2)Z-X0Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-14OfthefamiliesinCityXin1994,40percentownedapersonalcomputer.ThenumberoffamiliesinCityXowningacomputerin1998was30percentgreaterthanitwasin1994,andthetotalnumberoffamiliesinCityXwas4percentgreaterin1998thanitwasin1994.whatpercentofthefamiliesinCityXownedapersonalcomputerin1998?
A.50%B.52%C.56%D.70%E.74%answer-15Whichofthefollowingexpressionscanbewrittenasaninteger?
(1)(821/2+821/2)2
(2)(82)(821/2)(3)(821/2)(821/2)82A.NoneB.
(1)onlyC.(3)onlyD.
(1)and
(2)E.
(1)and(3)answer-16FromMay1toMay30inthesameyear,thebalanceinacheckingaccountincreased.WhatwasthebalanceinthecheckingaccountonMay30?
(1)If,duringthisperiodoftime,theincreaseinthebalanceinthecheckingaccounthadbeen12percent,thenthebalanceintheaccountonMay30wouldhavebeen$504
(2)Duringthisperiodoftime,theincreaseinthebalanceinthecheckingaccountwas8percent.Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-17IfNispositive,whichofthefollowingisequalto1(n+1)1/2-n1/2A.1B.(2n+1)1/2C.(n+1)1/2n1/2D.(n+1)1/2-n1/2E.(n+1)1/2+n1/2Answer-18Theannualinterestrateearnedbyaninvestmentincreasedby10percentfromlastyeartothisyear.Iftheannualinterestrateearnedbytheinvestmentthisyearwas1percent,whatwastheannualinterestratelastyear?
A.1%B.1.1%C.9.1%D.10%E.10.8%Answer-19ColorXinkiscreatedbyblendingred,blue,green,andyellowinksintheratio6:
5:
2:
2.whatisthenumberoflitersofgreeninkthatwasusedtocreateacertainbatchofcolorXink?
(1)Theamountofredinkusedtocreatethebatchis2litersmorethantheamountofblueinkusedtocreatethebatch.
(2)Thebatchconsistsof30litersofcolorXink.Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-20Ofthe32studentsinacertainclass,15areinamusiccluband20areinadanceclub.If10ofthestudentsarenotineitherclub,howmanyofthestudentsareinonlyoneofthetwoclubs?
A.5B.9C.10D.17E.25Answer-21IfPandRarepositive,is25percentofPequalto10percentofR?
(1)Ris150percentgreaterthanP
(2)Pis60percentlessthanR.Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-22IfX2+Y2=1,isX+Y=1?
(1)XY=0
(2)Y=0Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-23IfAB=A2+B2forallrealnumbersAandB.then(AB)C=A.A2+B2+C2B.2A2+2B2+C2C.A4+B4+C2D.A4+B4+2A2B2+C2Answer-24EachweekJohnearnsXdollarsperhourforthefirst40hoursthatheworksthatweekandYdollarsforeachadditionalhour.HowmuchdoesJohnearnperhourforthefirst40hours?
(1)Y=15X
(2)IfJohnworks45hoursinaweek,heearnsatotalof$570thatweek.Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-25MachineA,operatingaloneatitsconstantrate,produces500feetofaparticularfiberin2hours.MachineB,operatingaloneatitsconstantrate,produces500feetofthesamefiberin3hours.MachineC,operatingaloneatitsconstantrate.Produces500feetofthesamefiberin5hours.HowmanyhourswillittakemachinesA.B,andC,operatingtogetherattheirrespectiveconstantrates,toproduce1000feetofthefiber?
A.60/31B.15/7C.25/11D.10/2E.20/3Answer-26DoesthedecimalequivalentofP/Q,wherePandQarepositiveintegers,containonlyafinitenumberofnonzerodigits?
(1)PQ
(2)Q=8Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficientStatement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficientBOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.EACHstatementALONEissufficientStatements
(1)and
(2)TOGETHERareNOTsufficientAnswer-27(1/2)(-2)
(2)(-2)A.16B.8C.4D.1/8E.1/16Answer-28Ifk=-1,whichofthefollowingis(are)true?
1.kk=k2.|k|=-k.3.k0=-kA.1onlyB.1and2onlyC.1and3onlyD.2and3onlyE.1.2.and3.Answer-29Atotalof22menand26womenwereataparty,andtheaverage(arithmeticmean)ageofalloftheadultsatthepartywasexactly35years.Iftheaverageageofthemenwas