GWD31MATH6.docx

GWD31MATH6.docx

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GWD31MATH6

MathSection

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Q1:

Acertaincompany’sprofitin1996was15percentgreaterthanitsprofitin1995,anditsprofitin1997was20percentgreaterthanitsprofitin1996.Thecompany’sprofitin1997waswhatpercentgreaterthanitsprofitin1995?

A.5%

B.18%

C.33%

D.35%

E.38%

Answer:

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Q2:

Ifeverycarsoldlastweekatacertainused-cardealershipwaseitheracoupeorasedan,whatwastheaverage（arithmeticmean）salepriceforallthecarsthatweresoldatthedealershiplastweek?

（1）Theaveragesalepriceforthesedansthatweresoldatthedealershiplastweekwas$10,600.

（2）Theaveragesalepriceforthecoupesthatweresoldatthedealershiplastweekwas$8,400.

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.

Answer:

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Q3:

Pat,Kate,andMarkchargedatotalof162hourstoacertainproject.IfPatchargedtwiceasmuchtimetotheprojectasKateand1/3asmuchtimeasMark,howmanymorehoursdidMarkchargetotheprojectthanKate?

A.18

B.36

C.72

D.90

E.108

Answer:

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Q4:

Whatisthegreatestprimefactorof2100-296?

A.2

B.3

C.5

D.7

E.11

Answer:

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Q5:

Ifb,c,anddareconstantsandx2+bx+c=（x+d）2forallvaluesofx,whatisthevalueofc?

（1）d=3

（2）b=6

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.

Answer:

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Q6:

Ifa,b,k,andmarepositiveintegers,isakafactorofbm?

（1）aisafactorofb.

（2）k≤m

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.

Answer:

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Q7:

Acertainuniversitywillselect1of7candidateseligibletofillapositioninthemathematicsdepartmentand2of10candidateseligibletofill2identicalpositionsinthecomputersciencedepartment.Ifnoneofthecandidatesiseligibleforapositioninbothdepartments,howmanydifferentsetsof3candidatesaretheretofillthe3positions?

A.42

B.70

C.140

D.165

E.315

Answer:

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Q8:

RST

QU

PV

W

Note:

Figurenotdrawntoscale.

Inthefigureabove,theareaofsquareregionPRTVis81,andtheratiooftheareaofsquareregionXSTUtotheareaofsquareregionPQXWis1to4.WhatisthelengthofsegmentRS?

A.5

B.5.5

C.6

D.6.5

E.7

Answer:

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Q9:

Iftheaverage（arithmeticmean）offourdifferentnumbersis30,howmanyofthenumbersaregreaterthan30?

（1）Noneofthefournumbersisgreaterthan60.

（2）Twoofthefournumbersare9and10,respectively.

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.

Answer:

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Q10:

Ifeachofthestudentsinacertainmathematicsclassiseitherajuniororasenior,howmanystudentsareintheclass?

（1）Ifonestudentistobechosenatrandomfromtheclasstoattendaconference,theprobabilitythatthestudentchosenwillbeasenioris4/7.

（2）Thereare5moreseniorsintheclassthanjuniors.

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.

Answer:

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Q11:

Note:

Notdrawntoscale.

Arectangularpictureissurroundedbyaboarder,asshowninthefigureabove.Withouttheboarderthelengthofthepictureistwiceitswidth.Iftheareaoftheboarderis196squareinches,whatisthelength,ininches,ofthepicture,excludingtheboarder?

A.10

B.15

C.30

D.40

E.60

Answer:

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Q12:

EachweekConniereceivesabasesalaryof$500,plusa20percentcommissiononthetotalamountofhersalesthatweekinexcessof$1,500.WhatwasthetotalamountofConnie’ssaleslastweek?

（1）LastweekConnie’sbasesalaryandcommissiontotaled$1,200.

（2）LastweekConnie’scommissionwas$700.

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.

Answer:

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Q13:

Ifnisthegreatestpositiveintegerforwhich2nisafactorof10!

thenn=

A.2

B.4

C.6

D.8

E.10

Answer:

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Q14:

Atotalof30percentofthegeeseincludedinacertainmigrationstudyweremale.Ifsomeofthegeesemigratedduringthestudyand20percentofthemigratinggeeseweremale,whatwastheratioofthemigrationrateforthemalegeesetothemigrationrateforthefemalegeese?

[Migrationrateforgeeseofacertainsex=（numberofgeeseofthatsexmigrating）/（totalnumberofgeeseofthatsex）]

A.1/4

B.7/12

C.2/3

D.7/8

E.8/7

Answer:

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Q15:

Ofthefollowing,whichisgreatest?

A.（1/5）-2

B.（1/3）-2

C.3-2

D.5-2

E.23

Answer:

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Q16:

Is│x-y│>│x-z│?

（1）│y│>│z│

（2）x<0

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.

Answer:

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Q17:

Raymondpurchasedapackageofgroundbeefatacostof$1.98perpound.If,forthesameamountofmoney,Raymondcouldhavepurchasedapieceofsteakthatweighed40percentlessthanthepackageofgroundbeef,whatwasthecostperpoundofthesteak?

A.$4.95

B.$4.20

C.$3.60

D.$3.30

E.$3.10

Answer:

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Q18:

Arectangularregionhasafencealongthreesidesandawallalongthefourthside.Thefencedsideoppositethewallistwicethelengthofeachoftheothertwofencedsides.Iftheareaoftherectangularregionis128squarefeet,whatisthetotallengthofthefence,infeet?

A.4

B.8

C.16

D.32

E.64

Answer:

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Q19:

Atacertaincompany,25percentoftheemployeesaremaleand50percentoftheemployeesaresalesstaff.Whatisthenumberofemployeesatthiscompany?

（1）Exactly7oftheemployeesatthecompanyaremaleswhoaresalesstaff.

（2）Thereare16morefemaleemployeesthanmaleemployeesatthecompany.

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.

Answer:

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