GRE(QUANTITATIVE)綜合模擬試

卷4

一、計算題(本題共8題，每題1.0分，共8分。)

Evaluatethefollowing.(a)15-(6-4)(-2)(b)(2-17)^-5(c)(60^-12)-(-7+4)(d)(3)4-(-2)3(e)(-

5)(-3)-15⑴(-2)4(15-18)4(g)(20-5)2(-2+6)3(h)(-85)(0)-(-17)(3)

1、

標(biāo)準(zhǔn)答案：19

知識點解析：暫無解析

2、

標(biāo)準(zhǔn)答案：-3

知識點解析：暫無解析

3、

標(biāo)準(zhǔn)答案：8

知識點解析：暫無解析

4、

標(biāo)準(zhǔn)答案：89

知識點解析：暫無解析

5、

標(biāo)準(zhǔn)答案：0

知識點解析：暫無解析

6、

標(biāo)準(zhǔn)答案：1296

知識點解析：暫無解析

7、

標(biāo)準(zhǔn)答案：1024

知識點解析：暫無解析

8、

標(biāo)準(zhǔn)答案：51

知識點解析：暫無解析

二、圖表題（本題共7題，每題7.0分，共7分。）

PERCENTOFFEMALEFACULTYANDPERCENTOFMALEFACULTYAT

UNIVERSITYX,BYFIELDTotalfemalefaculty:200Totalmalefaculty:250

BiologicalSciences

Business

Education

Engineering

pFineArts

JJ

EHealthSciences

Humanities

PhysicalSciences

SocialSciences

Other

0510152025

Percent

9、MediumQuestionThereare275studentsinthefieldofengineeringatUniversityX.

Approximatelywhatistheratioofthenumberofstudentsinengineeringtothenumber

offacultyinengineering?

A、8to1

B、10to1

C、12to1

D、14to1

E、20to1

標(biāo)準(zhǔn)答案:A

知識點解析：Accordingtothegraph,2percentofthefemalefacultyand12percentof

themalefacultyareintheengineeringfield.Todeterminethetotalnumberoffaculty

membersinengineering,youneedtoadd2percentof200,whichis4,to12percentof

250,whichis30,toget34.Thus,theratioofthenumbersofstudentstofacultyin

engineeringis275to34,whichisapproximatelyequalto280to35,or8to1.Thecorrect

answerisChoiceA.

10^MediumQuestionApproximatelywhatpercentofthefacultyinhumanitiesare

male?

A、35%

B、38%

C、41%

D、45%

E、51%

標(biāo)準(zhǔn)答案：E

知識點解析：Youneedtodeterminethenumbersoffemaleandmalefacultyinthe

humanitiesfield.Accordingtothegraph,17percentofthe200females,or34,and14

percentofthe250males,or35,areinhumanities.Thus,thefractionofhumanities

35二35

facultywhoaremaleis34+3569,orapproximately0.507.Asapercent,the

answerchoicethatisclosestto0.507is51percent.ThecorrectanswerisChoiceE.

11、HardQuestionForthebiologicalsciencesandhealthsciencesfacultycombined,1/3

ofthefemaleand2/9ofthemalefacultymembersaretenuredprofessors.Whatfraction

ofallthefacultymembersinthosetwofieldscombinedaretenuredprofessors?

標(biāo)準(zhǔn)答案：24/87

知識點解析：Youneediodeterminethenumberoffemalefacultyandthenumberof

malefacultyinthecombinedgroup.Accordingtothegraph,5percentofthefemale

faculty,or10,and10percentofthemalefaculty,or25,areinthebiologicalsciences.

Similarly,16percentofthefemalefaculty,or32,and8percentofthemalefaculty,or

20,areinthehealthsciences.Whenyoucombinethegroups,yougetatotalof42

fcmalcs(10+32)and45males(25+20),whichisatotalof87faculty.Thetenured

facuhyare1/3ofthe42females,or14females,and2/9ofthe45males,or10males.

Thus,thereare24tenuredfaculty,andthefractionthataretenuredprofessorsis24/87.

Thecorrectansweris24/87(oranyequivalentfraction).

VALUEOFIMPORTSTOANDEXPORTSFROMCOUNTRYT,2000-2009

,,(inUnitedStalesdollars)

.Exports

Imports

04-H------------------------------------

2000200120022003200420052006200720082009

Year

*1billion=1,000,000,000

12、Forwhichoftheeightyearsfrom2001to2008didexportsexceedimportsbymore

than$5billion?IndicateaHsuchyears.[A]2001|B]2002|C]2003|D|2004|E]2005

[F]2006|G]2007[HI2008

標(biāo)準(zhǔn)答案：A,B,C,F,G,H

知識點解析：Notethatforallyearsshown,thedollarvalueofexportsisgreaterthanthe

dollarvalueofimports.Foreachyear,thedifferencebetweenthedollarvalueofexports

andthedollarvalueofimportscanbereaddirectlyfromthegraph.Thedifferencewas

morethan$5billionforeachoftheyears2001,2002,2003,2006,2007,and2008.The

correctanswerconsistsofChoicesA,B,C,F,G,andH.

13、MediumQuestionWhichofthefollowingisclosesttotheaverage(arithmeticmean)

ofthe9changesinthevalueofimportsbetweenconsecutiveyearsfrom2000to2009?

A、$260million

B、$320million

C、S400million

D、$480million

E、$640million

標(biāo)準(zhǔn)答案：E

知識點解析：Theaverageofthe9changesinthevalueofimportsbetweenconsecutive

yearscanberepresentedasfollows,wherethefunctionv(ycar)representsthevalueof

importsfortheindicatedyear.

>001)—y(2000))+(y(2OO2)-y(2001))+M2003)-“2002))+…+(y(2009)-y(200X))

-9-

Notethatinthenumeratorofthefraction,eachterm,withtheexceptionofv(2000)and

v(2009),appearsfirstaspositiveandthenagainasnegative.Thepositiveandnegative

pairssumto0,andthefractionsimplifiesto.Readingthevaluesfromthegraph,

youcanapproximatethevalueofthesimplifiedfractionasO.644billiondollars.The

answerchoicethatisclosestto$0,644billionis$640million.Thecorrectansweris

ChoiceE.

14、MediumQuestionIn2008thevalueofexportswasapproximatelywhatpercent

greaterthanthevalueofimports?

A、0.4

B、0.6

C、0.7

D、1.2

E、1.4

標(biāo)準(zhǔn)答案：E

知識點解析：Thedifferencebetweenthevalueofexportsandthevalueofimports

expressedasapercentofthevalueofimportsis

/(valueofexports)-(valueofimports)

1(100%)

valueotimportsIn2008thevalueofimports

wasapproximately$5billionandthevalueofexportswasapproximately$12billion,so

12-5

thevalueofthefractionisapproximately5,or7/5.Sincethefractionisgreater

than1,expressingitasapercentwillgiveapercentgreaterthan100.Thefractionis

equalto1.4,or140percent.ThecorrectanswerisChoiceE.

15、HardQuestionIfitwerediscoveredthatthevalueofimportsshownfor2007was

incorrectandshouldhavebeen$5billioninstead,thentheaverage(arithmeticmean)value

ofimportsperyearforthe10yearsshownwouldhavebeenapproximatelyhowmuch

less?

A、$200million

$50million

C、$20million

D、$7million

E^$5million

標(biāo)準(zhǔn)答案：A

知識點解析：Toanswerthisquestion,youdonotneedtocomputeeitherofthetwo10-

yearaveragesreferredtointhequestion;youjustneedtocalculatethedifference

betweenthetwoaverages.Theaveragevalueofimportsforthe10yearsshowninthe

graphisfoundbyaddingthe10valuesandthendividingthesumby10.Thevalueof

importsin2007is$7billion.IfthatamountwereS5billioninstead,th