工商管理硕士入学考试数学机考二doc.docx
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工商管理硕士入学考试数学机考二doc.docx
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工商管理硕士入学考试数学机考二doc
工商管理硕士入学考试-数学机考-
(二)
(总分:
250.00,做题时间:
90分钟)
一、问题求解题(总题数:
50,分数:
250.00)
1.Inacertaincompany,theratioofthenumberofwomenemployeestothenumberofmenemployeesis3to2.Ifthetotalnumberofemployeesis240,thenhowmanyoftheemployeesaremen?
(A)40(B)48(C)96
(D)144(E)160
(分数:
5.00)
A.
B.
C.
D.
E.
2.Whichofthefollowingcanbeexpressedasthesumofthreeconsecutiveintegers?
(A)17(B)23(C)25
(D)30(E)40
(分数:
5.00)
A.
B.
C.
D.
E.
3.Ifnisapositiveintegerandn2isdivisibleby72,thenthelargestpositiveintegerthatmustdividenis
(A)6(B)12(C)24
(D)36(E)48
(分数:
5.00)
A.
B.
C.
D.
E.
4.Inacertainpopulation,40percentofallpeoplehavebiologicalcharacteristicX;theothersdonot.If8,000peoplehavecharacteristicX,howmanypeopledonothaveX?
(A)3200(B)4800(C)12,000
(D)16,000(E)20,000
(分数:
5.00)
A.
B.
C.
D.
E.
5.
(分数:
5.00)
A.
B.
C.
D.
E.
6.IfcylinderPhasaheighttwicethatofcylinderQandaradiushalfthatofcylinderQ,whatistheratiobetweenthevolumeofcylinderPandthevolumeofcylinderQ?
(A)1:
8(B)1:
4(C)1:
2
(D)1:
1(E)2:
1
(分数:
5.00)
A.
B.
C.
D.
E.
7.Duringasaleatanofficesupplystore,foreveryboxofpaperclipspurchasedfor15cents,asecondboxcanbepurchasedfor4cents.HowmanyboxesofpaperclipsdidPaulbuyifhespent91centsonboxesofpaperclips?
(A)6(B)7(C)8
(D)9(E)10
(分数:
5.00)
A.
B.
C.
D.
E.
8.Aprizeof$240isdividedbetweentwopersons.Ifonepersonreceives$180,thenwhatisthedifferencebetweentheamountsreceivedbythepersons?
(A)$30(B)$60(C)$120
(D)$210(E)$420
(分数:
5.00)
A.
B.
C.
D.
E.
9.
District
NumberOfVotes
PercentofVotesforCandidateP
PercentofVotesforCandidate
1
800
60
40
2
1,000
50
50
3
1,500
50
50
4
1,800
40
60
S
1,200
30
70
Thetableaboveshowstheresultsofarecentschoolboardelectioninwhichthecandidatewiththehighertotalnumberofvotesfromthefivedistrictswasdeclaredthewinner.Whichdistricthadthegreatestnumberofvotesforthewinner?
(A)1(B)2(C)3
(D)4(E)5
(分数:
5.00)
A.
B.
C.
D.
E.
10.
ADVANCEDPURCHASEDISCOUNTSFORAIRLINETRAVEL
DaysPriortoDeparture
PercentageDiscount
0~6days
0%
7~13days
10%
14~29days
25%
30daysormore
40%
Thetableaboveshowsthediscountstructureforadvancedpurchaseofticketsataparticularairline.Apassengerboughtaticketatthisairlinefor$1,050.Theticketagentinformedherthat,hadshepurchasedtheticketonedaylater,shewouldhavepaid$210more.Howmanydaysbeforeherdeparturedidshepurchaseherticket?
(A)6days
(B)7days
(C)13days
(D)14days
(E)29days
(分数:
5.00)
A.
B.
C.
D.
E.
11.$2000isdepositedintoasavingsaccountthatearnsinterestattherateof10percentperyear,compoundedsemiannually.Howmuchmoneywilltherebeintheaccountattheendofoneyear?
(A)$2105(B)$2200(C)$2205
(D)$2400(E)$2600
(分数:
5.00)
A.
B.
C.
D.
E.
12.
(分数:
5.00)
A.
B.
C.
D.
E.
13.Ifthevalueofapieceofpropertydecreasesby10percentwhilethetaxrateonthepropertyincreasesby10percent,whatistheeffectonthetaxes?
(A)Taxesincreaseby10percent.
(B)Taxesincreaseby1percent.
(C)Thereisnochangeintaxes.
(D)Taxesdecreaseby1percent.
(E)Taxesdecreaseby10percent.
(分数:
5.00)
A.
B.
C.
D.
E.
14.Aclothingsupplierstores800coatsinawarehouse,ofwhich15percentarefull-lengthcoats.If500oftheshorterlengthcoatsareremovedfromthewarehouse,whatpercentoftheremainingcoatsarefulllength?
(A)5.62%(B)9.37%(C)35%
(D)40%(E)48%
(分数:
5.00)
A.
B.
C.
D.
E.
15.Apersonisstandingonastaircase.Hewalksclown4steps,up3steps,down6steps,up2steps,up9steps,anddown2steps.Whereishestandinginrelationtothesteponwhichhestarted?
(A)2stepsabove
(B)1stepabove
(C)thesameplace
(D)1stepbelow
(E)2stepsbelow
(分数:
5.00)
A.
B.
C.
D.
E.
16.Ittakes10people16hourstocompleteacertainjob.Howmanyhourswouldittake8people,workingatthesamerate,tocomplete
ofthejob?
(分数:
5.00)
A.
B.
C.
D.
E.
17.Ifx,y,andzarepositiveintegerssuchthatxisafactorofy,andxisamultipleofz,whichofthefollowingisNOTnecessarilyaninteger?
(分数:
5.00)
A.
B.
C.
D.
E.
18.Atacollegefootballgame,
oftheseatsinthelowerdeckofthestadiumweresold.If
ofalltheseatinginthestadiumislocatedinthelowerdeck,andif
(分数:
5.00)
A.
B.
C.
D.
E.
19.Afterreading
ofhisbiologyhomeworkonMondaynight,Bernieread
ofhisremaininghomeworkonTuesdaynight.WhatfractionofhisoriginalhomeworkwouldBerniehavetoreadonWednesdaynighttocompletehisbiologyassignment?
(分数:
5.00)
A.
B.
C.
D.
E.
20.MachinesAandBalwaysoperateindependentlyandattheirrespectiveconstantrates.Whenworkingalone,machineAcanfillaproductionlotin5hours,andmachineBcanfillthesamelotinxhours.Whenthetwomachinesoperatesimultaneouslytofilltheproductionlot,ittakesthem2hourstocompletethejob.Whatisthevalueofx?
(分数:
5.00)
A.
B.
C.
D.
E.
21.
Ifthespacesbetweentheletteredpointsinthefigureaboveareallequal,then
(分数:
5.00)
A.
B.
C.
D.
E.
22.Asurveyof100personsrevealedthat72ofthemhadeatenatrestaurantPandthat52ofthemhadeatenatrestaurantQ.WhichofthefollowingcouldnotbethenumberofpersonsinthesurveyedgroupwhohadeatenatbothPandQ?
(A)20(B)24(C)30
(D)50(E)52
(分数:
5.00)
A.
B.
C.
D.
E.
23.Candyheartsweremarkeddownfrom30%to50%onValentine'sDay.Thefollowingday,candyheartsweremarkeddownanadditional25%.Whatwasthelowestcostofacandyheartthatoriginallysoldfor$28?
(A)$7(B)$12.60(C)$14
(D)$15.40(E)$21
(分数:
5.00)
A.
B.
C.
D.
E.
24.Asquarecountertophasasquaretileinlayinthecenter,leavinganuntiledstripofuniformwidtharoundthetile.Iftheratioofthetiledareatotheuntiledareais25to39,whichofthefollowingcouldbethewidth,ininches,oftilestrip?
Ⅰ.1
Ⅱ.3
Ⅲ.4
(A)Ⅰonly
(B)Ⅱonly
(C)ⅠandⅡonly
(D)ⅠandⅢonly
(E)Ⅰ,Ⅱ,andⅢ
(分数:
5.00)
A.
B.
C.
D.
E.
25.Tomreadsatanaveragerateof30pagesperhour,whileJanreadsatanaveragerateof40pagesperhour.IfTomstartsreadinganovelat4:
30,andJanbeginsreadinganidenticalcopyofthesamebookat5:
20,atwhattimewilltheybereadingthesamepage?
(A)9:
30(B)9:
00(C)8:
40
(D)7:
50(E)7:
00
(分数:
5.00)
A.
B.
C.
D.
E.
26.Arecipeforsodarequiresωlitersofwaterforeveryliterofsyrup.Ifsodaismadeaccordingtothisrecipeusingrnlitersofsyrup,andsoldforjdollarsalitter,whatwillbethegrossprofitifsyrupcostskdollarsaliterandwatercostsnothing?
(A)m(ω+k)
(C)m(jω-k)
(D)(j-k)m
(E)jm(1+ω)-km
(分数:
5.00)
A.
B.
C.
D.
E.
27.
1
2
3
4
5
6
7
-2
-4
-6
-8
-10
-12
-14
3
6
9
12
15
18
21
-4
-8
-12
-16
-20
-24
-28
5
10
15
20
25
30
35
-6
-12
-18
-24
-30
-36
-42
7
14
21
28
35
42
49
Whatisthesumoftheintegerinthetableabove?
(A)28(B)112(C)336
(D)448(E)784
(分数:
5.00)
A.
B.
C.
D.
E.
28.Inacertaingroupofpeople,
ofthepeoplearemen,and
ofthemenhavebrowneyes.If
ofthepeoplehavebrowneyes,thenwhatfractionofthegrouparewomenwhodonothavebrowneyes?
(分数:
5.00)
A.
B.
C.
D.
E.
29.3,k,2,8,m,3
Thearithmeticmeanofthelistofnumbersaboveis4.Ifkandmareintegersandk≠m,whatisthemedianofthelist?
(A)2(B)2.5(C)3
(D)3.5(E)4
(分数:
5.00)
A.
B.
C.
D.
E.
30.Afigurethatcanbefoldedoveralongastraightlinesothattheresultistwoequalhalveswhicharethenlyingontopofoneanotherwithnooverlapissaidtohavealineofsymmetry.Whichofthefollowingfigureshasonlyonelineofsymmetry?
(A)Square
(B)Circle
(C)Equilateraltriangle
(D)Isoscelestriangle
(E)Rectangle
(分数:
5.00)
A.
B.
C.
D.
E.
31.Acomputerisprogrammedtogeneratealistofmultiplesofprimenumbers2,3,and5,asshownbelow:
Program1-Listmultiplesof2
Program2-Listmultiplesof3
Program3-listmultiplesof5
Howmanyintegersbetween1and100willappearonallthreeofthelistsoftheprogramsproducedabove?
(A)None(B)1
(C)3(D)5
(E)Aninfinitenumberofintegers
(分数:
5.00)
A.
B.
C.
D.
E.
32.Onenumberwillbechosenrandomlyfromeachofthesetsabove.IfxrepresentsthechosenmemberofSetXandyrepresentsthechosenmemberofSetY,whatistheprobabilitythat
willbeaninteger?
(分数:
5.00)
A.
B.
C.
D.
E.
33.Thearithmeticmeanofadatasetis46andthestandarddeviationofthesetis4.Whichvalueisexactly1.5standarddeviationsfromthearithmeticmeanoftheset?
(A)42(B)44.5(C)47.5
(D)50(E)52
(分数:
5.00)
A.
B.
C.
D.
E.
34.Theaverage(arithmeticmean)offivenumberis26.Afteroneofthenumbersisremoved,theaverage(arithmeticmean)oftheremainingnumbersis25.Whatnumberhasbeenremoved?
(A)20(B)25(C)26
(D)30(E)32
(分数:
5.00)
A.
B.
C.
D.
E.
35.AtruckdepartedfromNewtonat11:
53a.m.andarrivedinFarCity,240milesaway,at4:
41p.m.onthesameday.Whatwastheapproximateaveragespeedofthetruckonthistrip?
(分数:
5.00)
A.
B.
C.
D.
E.
36.In1960,thenumberofstudentsenrolledatacollegewas500.In1980,thenumberofstudentsenrolledatthecollege
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