工商管理硕士入学考试数学机考doc.docx
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工商管理硕士入学考试数学机考doc
工商管理硕士入学考试-数学机考
（总分：
750.00，做题时间：
90分钟）
一、问题求解题（总题数：
100，分数：
500.00）
1.Ifthevalueofapieceofpropertydecreasesby10percentwhilethetaxrateonthepropertyincreasesby10percent,whatistheeffectonthetaxes?
（分数：
5.00）
A.Taxesincreaseby10percent.
B.Taxesincreaseby1percent.
C.Thereisnochangeintaxes.
D.Taxesdecreaseby1percent.
E.（E）Taxesdecreaseby10percent.
2.
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?
（分数：
5.00）
A.1
B.2
C.3
D.4
E.（E）5
3.Onenumberwillbechosenrandomlyfromeachofthesetsabove.IfxrepresentsthechosenmemberofSetXandyrepresentsthechosenmemberofSetY,whatistheprobabilitythat
willbeaninteger?
（分数：
5.00）
A.
B.
C.
D.
E.
4.Jolenebeganbuildingapicketfencebyplantingstakesinarow;thestakeswereevenlyspaced.Afterplantingthefirst10stakes,Jolenemeasuredthelengthoftherowandfoundthattherowwas27feetlong.Shecontinuedtherowbyplantinganother10stakes,thenmeasuredthelengthoftheentirerow.HowmanyfeetlongwastherowofstakesJolenehadplanted?
（分数：
5.00）
A.37
B.54
C.57
D.60
E.（E）81
5.TheenrollmentsatCollegeXandCollegeYbothgrewby8percentfrom1980to1985.IftheenrollmentatCollegeXgrewby800andtheenrollmentatCollegeYgrewby840,theenrollmentatCollegeYwashowmuchgreaterthantheenrollmentatCollegeXin1985?
（分数：
5.00）
A.400
B.460
C.500
D.540
E.（E）580
6.Ifxisanevenintegerandyisanoddinteger,thenwhichofthefollowingisaneveninteger?
（分数：
5.00）
A.x2+y
B.x2-y
C.（x2）（y）
D.x+y
E.（E）x-y
7.Achildwithdrawsfromhispiggybank10%oftheoriginalsuminthebank.Ifhemustadd90￠tobringtheamountinthebankbackuptotheoriginalsum,whatwastheoriginalsuminthebank?
（分数：
5.00）
A.$1.00
B.$1.90
C.$8.10
D.$9.00（g）$9.90
8.Thewidthofarectangleis6cmlessthanthelength.Iftheperimeteroftherectangleis48cm,whatisthelengthoftherectangleincentimeters?
（分数：
5.00）
A.48
B.15
C.12
D.9
E.（E）6
9.Afour-characterpasswordconsistsofoneletterofthealphabetandthreedifferentdigitsbetween0and9,inclusive.Thelettermustappearasthesecondorthirdcharacterofthepassword.Howmanydifferentpasswordsarepossible?
（分数：
5.00）
A.5,040
B.18,720
C.26,000
D.37,440
E.（E）52,000
10.Aclothingsupplierstores800coatsinawarehouse,ofwhich15percentarefull-lengthcoats.If500oftheshorterlengthcoatsareremovedfromthewarehouse,whatpercentoftheremainingcoatsarefulllength?
（分数：
5.00）
A.5.62%
B.9.37%
C.35%
D.40%
E.（E）48%
11.Tofillanumberofvacancies,anemployermusthire3programmersfromamong6applicants,and2managersfromamong4applicants.
Whatisthetotalnumberofwaysinwhichshecanmakeherselection?
（分数：
5.00）
A.1,490
B.132
C.120
D.6O
E.（E）23
12.Asalesmanmakesaprofitof25%onallsales.Howmanyfaxmachineswillhehavetosellfor$375eachtomakeatotalcommissionofatleast$500?
（分数：
5.00）
A.4
B.5
C.6
D.15
E.（E）20
13.Agrocerisstoringsmallcerealboxesinlargecartonsthatmeasure25inchesby42inchesby60inches.Ifthemeasurementofeachsmallcerealboxis7inchesby6inchesby5inches,thenwhatisthemaximumnumberofsmallcerealboxesthatcanbeplacedineachlargecarton?
（分数：
5.00）
A.25
B.210
C.252
D.300
E.（E）420
14.AtruckdepartedfromNewtonat11:
53a.m.andarrivedinFarCity,240milesaway,at4:
41p.m.onthesameday.Whatwastheapproximateaveragespeedofthetruckonthistrip?
（分数：
5.00）
A.
B.
C.
D.
E.
15.Thearithmeticmeanofadatasetis46andthestandarddeviationofthesetis4.Whichvalueisexactly1.5standarddeviationsfromthearithmeticmeanoftheset?
（分数：
5.00）
A.42
B.44.5
C.47.5
D.50
E.（E）52
16.IfcylinderPhasaheighttwicethatofcylinderQandaradiushalfthatofcylinderQ,whatistheratiobetweenthevolumeofcylinderPandthevolumeofcylinderQ?
（分数：
5.00）
A.1:
8
B.1:
4
C.1:
2
D.1:
1
E.（E）2:
1
17.OnMonday,acertainanimalshelterhoused55eatsanddogs.ByFriday,exactly
oftheeatsand
（分数：
5.00）
A.
B.
C.
D.
E.
18.Apersonisstandingonastaircase.Hewalksclown4steps,up3steps,down6steps,up2steps,up9steps,anddown2steps.Whereishestandinginrelationtothesteponwhichhestarted?
（分数：
5.00）
A.2stepsabove
B.1stepabove
C.thesameplace
D.1stepbelow
E.（E）2stepsbelow
19.Ifrandsareintegersandrs+risodd,whichofthefollowingmustbeeven?
（分数：
5.00）
A.r
B.s
C.r+s
D.rs-r
E.（E）r2+s
20.Adepartmentstorereceivesashipmentof1,000shirts,forwhichitpays$9,000.Thestoresellstheshirtsataprice80percentabovecostforonemonth,afterwhichitreducesthepriceoftheshirtsto20percentabovecost.Thestoresells75percentoftheshirtsduringthefirstmonthand50percentoftheremainingshirtsafterward.Howmuchgrossincomedidsalesoftheshirtsgenerate?
（分数：
5.00）
A.$10,o00
B.$10,800
C.$12,150
D.$13,500
E.（E）$16,200
21.Ifa=1and
（分数：
5.00）
A.
B.
C.
D.
E.
22.Agroupof20friendsformedaninvestmentclub,witheachmembercontributinganequalamounttothegeneralfund.Theclubtheninvestedtheentirefund,whichamountedtoddollars,inStockX.Thevalueofthestocksubsequentlyincreased40percent,atwhichpointthestockwassoldandtheproceedsdividedevenlyamongthemembers.Intermsofd,howmuchmoneydideachmemberoftheclubreceivefromthesales（Assumethattransactionfeesandotherassociatedcostswerenegligible）.
（分数：
5.00）
A.
B.
C.
D.
E.
23.Agroupofstoremanagersmustassemble280displaysforanupcomingsale.Iftheyassemble25percentofthedisplaysduringthefirsthourand40percentoftheremainingdisplaysduringthesecondhour,howmanyofthedisplayswillnothavebeenassembledbytheendofthesecondhour?
（分数：
5.00）
A.70
B.98
C.126
D.168
E.（E）182
24.
（分数：
5.00）
A.
B.
C.
D.
E.
25.Ifnisapositiveintegerandn2isdivisibleby72,thenthelargestpositiveintegerthatmustdividenis
（分数：
5.00）
A.6
B.12
C.24
D.36
E.（E）48
26.
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?
（分数：
5.00）
A.28
B.112
C.336
D.448
E.（E）784
27.Alaborerispaid$8perhourforan8-hourdayand
（分数：
5.00）
A.
B.
C.
D.
E.
28.Afirst-gradeteacherusetenflashcards,numbered1through10,toteachherstudentstoordernumberscorrectly.Shehasstudentschoosefourflashcardsrandomly,thenarrangethecardsinascendingorder.Oneday,sheremovesthecardsnumbered"2"and"4"fromthedeckofflashcards.Onthatday,howmanydifferentcorrectarrangementsoffourrandomlyselectedcardsarepossible?
（分数：
5.00）
A.70
B.210
C.336
D.840
E.（E）1,680
29.Whatisthemaximumnumberofcubeswithsidesofalength
（分数：
5.00）
A.
B.
C.
D.
E.
30.Twocarsleftthesametowntravelinginthesamedirection.CarAtraveled40milesperhourandleftat3:
20.CarBtraveled50milesperhourandleftat4:
40.AtwhattimewillcarBcatchupwithcarA?
（分数：
5.00）
A.10:
00
B.9:
00
C.8:
40
D.7:
20
E.（E）6:
10
31.Thepeopleeatinginacertaincafeteriaareeitherfacultymembersorstudents,andthenumberoffacultymembersis15percentofthetotalnumberofpeopleinthecafeteria.Aftersomeofthestudentsleave,thetotalnumberofpersonsremaininginthecafeteriais50percentoftheoriginaltotal.Thenumberofstudentswholeftiswhatfractionalpartoftheoriginalnumberofstudents?
（分数：
5.00）
A.
B.
C.
D.
E.
32.Jeromewroteeachoftheintegers1through20,inclusive,onaseparateindexcard.Heplacedthecardsinabox,thendrewcardsoneatatimerandomlyfromthebox,withoutreturningthecardshehadalreadydrawntothebox.Inordertoensurethatthesumofallthecardshedrewwaseven,howmanycardsdidJeromehavetodraw?
（分数：
5.00）
A.19
B.12
C.11
D.10
E.（E）3
33.Inacertaincompany,theratioofthenumberofwomenemployeestothenumberofmenemployeesis3to2.Ifthetotalnumberofemployeesis240,thenhowmanyoftheemployeesaremen?
（分数：
5.00）
A.40
B.48
C.96
D.144
E.（E）160
34.Afigurethatcanbefoldedoveralongastraightlinesothattheresultistwoequalhalveswhicharethenlyingontopofoneanotherwithnooverlapissaidtohavealineofsymmetry.Whichofthefollowingfigureshasonlyonelineofsymmetry?
（分数：
5.00）
A.Square
B.Circle
C.Equilateraltriangle
D.Isoscelestriangle
E.（E）Rectangle
35.Apainterhaspaintedone-thirdofarectangularwallwhichistenfeethigh.Whenshehaspaintedanother75squarefeetofwall,shewillbethree-quartersfinishedwiththejob.Whatisthelength（thehorizontaldimension）ofthewall?
（分数：
5.00）
A.18feet
B.12feet
C.10feet
D.9feet
E.（E）6feet
36.Inacertaingroupofpeople,
ofthepeoplearemen,and
ofthemenhavebrowneyes.If
ofthepeoplehavebrowneyes,thenwhatfractionofthegrouparewomenwhodonothavebrowne
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