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1、MathSectionQ1:Ifx2=4andy2=7,thenx6-y4=A. 33B. 25C. 15D. -3E. -33Answer:Q2:Thereare11womenand9meninacertainclub.Iftheclubistoselectacommitteeof2womenand2men,howmanydifferentsuchcommitteesarepossible?A. 120B. 720C.1,060D.1,520E.1,980Answer:Q3:Ifp,s,andtarepositiveprimenumbers,whatisthevalueofp3s3t3?(1

2、) p3st=728(2) t=13A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareN

3、OTsufficient.Answer:Q4:Ifxandyareintegers,whatisthevalueofx26y-4?(1) x2y=16(2) xy=4A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.

4、EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Adepartmentmanagerdistributedanumberofpens,pencils,andpadsamongthestaffinthedepartment,witheachstaffmemberreceivingpens,ypencils,andzpads.Howmanystaffmemberswereinthedepartment?(1) Thenumbersofpens,pencils,andpadsth

5、ateachstaffmemberreceivedwereintheratio2:3:4,respectively.(2) Themanagerdistributedatotalof18pens,27pencils,and36pads.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNE

6、ITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q6:Thefunctionfisdefinedforeachpositivethree-digitintegernbyf(n)=2x3y5z,wherex,yandzarethehundreds,tens,andunitsdigitson,respectively.Ifmandvarethreedigitpositiveintegerssuchthatf(

7、m)=9f(v),thenm-v=A. 8B. 9C. 18D. 20E. 80Answer:Q7:111IfN=一+r+f,thenNisbetween33233A. 0and19B. 1and193C. 1and-39D. 8and493E. 4and23Answer:Q8:Acashregisterinacertainclothingstoreisthesamedistancefromtwodressingroomsinthestore.Ifthedistancebetweenthetwodressingroomsis16feet,whichofthefollowingcouldbeth

8、edistancebetweenthecashregisterandeitherdressingroom?I. 6feetII. 12feetIII. 24feetA. IonlyB. IIonlyC. IIIonlyD. IandIIE. IIandIIIAnswer:Q9:Isx0?(1) x3x2(2) x3x4A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.

9、 BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q10:Arectangularfloorthatmeasures8metersby10metersistobecoveredwithcarpetsquaresthateachmeasure2metersby2meters.Ifthecarpetsquarescost$12a

10、piece,whatisthetotalcostforthenumberofcarpetsquaresneededtocoverthefloor?A. $200B. $240C. $480D. $960E.$1,920Answer:Q11:Inthesequence1,2,4,8,16,32,erm-aftercthlefirstistwicethepreviousterm.Whatisthesumofthe16th,17th,and18thtermsinthesequence?A. 218B. 3(217)C. 7(216)D. 3(216)E. 7(215)Answer:Q12:Somec

11、omputersatacertaincompanyareBranXdandtherestareBrandY.IftheratioofthenumberofBrandYcomputerstothenumberofBrandXcomputersatthecompanyis5to6,howmanyofthecomputersareBrandY?(1) Thereare80moreBrandXcomputersthanBrandYcomputersatthecompany.(2) Thereisatotalof880computersatthecompany.A. Statement(1)ALONEi

12、ssufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q13:Eachof20parents

13、choseoneoffivedaysfromMondaythroughFridaytoattendparentteacherconferences.IfmoreparentschoseMondaythanTuesday,didatleastoneoftheparentschooseFriday?(1) Noneofthefivedayswaschosenbymorethan5parents.(2) MoreparentschoseMondaythanWednesday.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsuffi

14、cient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q14:Acertainpilotflew400milestoCityKatanaveragespeedof350mile

15、sperhourwiththewindandmadethetripbackatanaveragespeedof250milesperhouragainstthewind.Whichofthefollowingisclosesttothepilotsaveragespeed,inmilesperhour,fortheround-trip?A. 280B. 290C. 300D. 310E. 320Answer:Q15:IfR=P,isR50(2) 0Q3y,isxnegative?(1) y0(2) 2x+5y-20=0A. Statement(1)ALONEissufficient,butst

16、atement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q23:Thetollforcrossingacertainbridge

17、is$0.75eachcrossing.Driverswhofrequentlyusethebridgemayinsteadpurchaseastickereachmonthfor$13.00andthenpayonly$0.30eachcrossingduringthatmonth.Ifaparticulardriverwillcrossthebridgetwiceoneachofxdaysnextmonthandwillnotcrossthebridgeonanyotherday,whatistheleastvalueofxforwhichthisdrivercansavemoneybyu

18、singthesticker?A. 14B. 15C. 16D. 28E. 29Answer:Q24:Thepositivenumbersw,x,y,andzaresuchthatxis20percentgreaterthany,yis20percentgreaterthanz,andwis20percentlessthanx.WhatpercentgreaterthanziswA. 15.2%B. 16.0%C. 20.0%D. 23.2%E. 24.8%Answer:Q25:MachineMprocessesacertainchemicalproductataconstantrate.Do

19、esmachiMneprocesstheproductataratethatisgreaterthan25gramspersecond?(1kilogram=1,000grams)(1) MachineMprocessestheproductataratethatisgreaterthan92kilogramsperhour.(2) MachineMprocessestheproductataratethatislessthan95kilogramsperhour.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsuffici

20、ent.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2JTOGETHERareNOTsufficient.Answer:Q26:Is7y-6(2) y0A. Statement(1)ALONEissufficient,butstatement(2

21、)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q27:Ifkisanintegerand(0.0025)(0.025)(0.00025)

22、10kisaninteger,whatistheleastpossiblevalueofk?A. -12B. -6C. 0D. 6E. 12Answer:Q28:Jacobpurchased100boxesoforangesat$8.00perbox.Hesold8oftheboxesat$4.00perboxtoCompanyA,andhesoldtherestoftheboxesaxdollarsperboxtoCompanyB.IfJacobsprofitfromthepurchaseandsaleofthe100boxesoforangeswas$336.00,atwhatpricep

23、erboxdidheselltheboxestoCompanB?A. $11.36B. $11.60C. $12.00D. $12.35E. $12.90Answer:s shaiQ29:AsumofmoneywasdividedbetweenJohnandAnnesuchthattheratioofJohnto Anne s share was 5 to 3. If Johnwhat was Anne s share?A. $180B. $270C. $340D. $450s sharefeh977-eeeumdof money by $50,E.$720Answer:Q30:FromMay

24、1toMay30inthesameyear,thebalanceinacheckingaccountincreased.WhatwasthebalanceinthecheckingaccountonMay30?(1) If,duringthisperiodoftime,theincreaseinthebalanceinthecheckingaccounthadbeen12percent,thenthebalanceintheaccountonMay30wouldhavebeen$504.(2) Duringthisperiodoftime,theincreaseinthebalanceinth

25、echeckingaccountwas8percent.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TO

26、GETHERareNOTsufficient.Answer:Q31:Inthefigureshown,iftheareaoftheshadedregionis3timestheareaofthesmallercircularregion,thenthecircumferenceofthelargercircleishowmanytimesthecircumferenceofthesmallercircle?A. 4B. 3C. 2Answer:Q32:WhatistheprobabilitythateventEoreventForbothwilloccur?(1) Theprobability

27、thateventEwilloccuris0.6.(2) TheprobabilitythateventFwilloccuris0.4.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementAL

28、ONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:QX:Iftheprobabilityis0.54thatStockAwillincreaseinvalueduringthenextmonthandtheprobabilityis0.68thatStockBwillincreaseinvalueduringthenextmonth,whatisthegreatestpossiblevaluefortheprobabilitythatneitherofthesetwoeventswilloccur?0.2

29、2A. 0.32B. 0.37C.0.46D.0.63Answer:Q33:IfDianasstampcollectionofthestampsareCanadian,an(3oftheCanadianstampswereissuedbefore1940.If192stampsinDianascollectionareCanadianstampsthatwereissuedin1940orlater,howmanystampsinhercollectionarenotCanadian?A. 84B. 88C. 96D. 104E. 112Answer:Q34:Ifarectangularroo

30、mmeasures10metersby6metersby4meters,whatisthevolumeoftheroomincubiccentimeters?(1meter=100centimeters)A.24,000B.240,000C.2,400,000D.24,000,000E.240,000,000Answer:Q35:Foracertaincarrepair,thetotalchargeconsistedofachargeforparts,achargeforlabor,anda6percentsalestaxonboththechargeforpartsandthechargef

31、orlabor.Ifthechargeforparts,excludingsalestax,was$50.00,whatwasthetotalchargefortherepair?(1) Thesalestaxonthechargeforlaborwas$9.60.(2)Thetotalsalestaxwas$12.60.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.

32、C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2JTOGETHERareNOTsufficient.Answer:Q36:Ifxandyareintegers,isyaneveninteger?(1) 2yx=x2-y2(2) xisanoddinteger.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsuffi

33、cient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q37:Foranynumberx,xdenotesthegreatestintegerlessthanorequalXo

34、Whatisthevalue of104A. 0B. 1C. 2D. 43E. 4Answer:Answers:CEAAE,DCECB,EDABE,C(D)BDCD,ADBAA,CECBC,CE(B)AED,ADF.MATHQ1:IfHenryweretoadd5gallonsofwatertoatankthatisalready3/4fullofwater,thetankwouldbe7/8full.Howmanygallonsofwaterwouldthetankholdifitwerefull?A. 25B. 40C. 64D. 80E. 96Answer:Q2:Thefunctionf

35、isdefinedforeachpositivethree-digitintegernbyf(n)=23y5z,wherex,yandzarethehundreds,tens,andunitsdigitsofn,respectively.Ifmandvarethreedigitpositiveintegerssuchthatf(m)=9f(v),thenm-v=?A. 8B. 9C. 18D. 20E. 80Q3:Atacertainfoodstand,thepriceofeachappleis40andthepriceofeachorangeis060.Maryselectsatotalof

36、10applesandorangesfromthefoodstand,andtheaverage(arithmeticmean)priceofthe10piecesoffruitis-56.HowmanyorgngesmustMaryputbacksothattheaveragepriceofthepiecesoffruitthatshekeeps-is52?0A. 1B. 2C. 3D. 4E. 5Answer:Q4:ProfessorVasquezgaveaquiztotwoclasses.Wastherangeofscoresforthefirstclassequaltotherange

37、ofscoresforthesecondclass?(1) Ineachclass,thenumberofstudentstakingthequizwas26,andthelowestscoreineachclasswas70.(2) Ineachclass,theaverage(arithmeticmean)scoreonthequizwas85.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneis

38、notsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q5:Ifxandyarepositiveintegers,whatisthevalueofx?3x5y=1,125(2)y=3A. Statement(1)ALONEissufficient,butstatement(2)aloneisnot

39、sufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Ifd-9=2d,thend=A. -9B. -3C. 1D. 3E. 9Answer:Q7:Thereare1

40、1womenand9meninacertainclub.Iftheclubistoselectacommitteeof2womenand2men,howmanydifferentsuchcommitteesarepossible?A.B.C.D.E.1207201,0601,5201,980Answer:Q8:Inthefigureshown,twoidenticalsquaresareinscribedintherectangle.Iftheperimeteroftherectangleis18/2,thenwhatistheperimeterofeachsquare?A.8,2B.12C.

41、12V2D.16E.18Answer:Q9:IsthemeasureofoneoftheinterioranglesofquadrilateralABCDequalto60degrees?(1) TwooftheinterioranglesofABCDarerightangles.(2) ThedegreemeasureofangleABCistwicethedegreemeasureofangleBCD.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissuff

42、icient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Q10:$10,000isdepositedinacertainaccountthatpaysrpercentannualinterestcompoundedannually,theamountD(t

43、),indollars,thatthedepositwillgrowtointyearsisgivenbyD(t)=10,0001+(r/100)t.Whatamountwillthedepositgrowtoin3years?(1) D(t)=11,000(2) r=10A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHER

44、aresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q11:Ifaandbareintegers,isbeven?(1) 3a+4biseven.(2) 3a+5biseven.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissuffici

45、ent,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q12:Workingaloneatitsconstantrate,machinestook3hourstoproduce;oftheunitsproducedlastFriday.Thenm

46、achineMstartedworkingandthetwomachines,workingsimultaneouslyattheirrespectiveconstantrates,took6hourstoproducetherestoftheunitsproducedlastFriday.Howmanyhourswouldithavetakenmachines,workingaloneatitsconstantrate,toproducealloftheunitsproducedlastFriday?A. 8B. 12C. 16D. 24E. 30Answer:Q13:Ifx+yisanin

47、teger,isyaninteger?(1) xyisaninteger.(2) x+2yisaninteger.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissuffic

48、ient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Answer:Q14:Acertaincomputerprogramgeneratesasequenceofnumber明,ansuchthata2=1andak=ak-1+2ak-2forallintegersksuchthat3k6,thena7=?A. 32B. 43C. 64D. 100E. 128Answer:Q15:Atacertainbookstore,theregularpriceofeachbookis20percentlessthanitslistprice.Ifduri

49、ngasalethepriceofeachbookatthestorewas15percentlessthanitsregularprice,thenthepriceofabookduringthesalewaswhatpercentlessthanitslistprice?A.30%B.32%C.35%D.38%E.40%Answer:Q16:Whatisthevalueoftheratioofxtoy2?(1) Theratioofx2toyis5/3.(2) Theratioofxto1is5/3.A. Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B. Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C. BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D. EACHstatementALONEissufficient.E. Statements(1)and(2)TOGETHERareNOTsufficient.Q17:Box

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