最新版 GMAT真题10.docx

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最新版 GMAT真题10.docx

最新版GMAT真题10

2012年最新版MathSection

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Q1:

Awirethatweighs24kilogramsiscutintotwopiecessothatoneofthepiecesweighs16kilogramsandis34meterslong.Iftheweightofeachpieceisproportionaltoitslength,howmanymeterslongistheotherpieceofwire?

A.8

B.11

C.13

D.17

E.20

Answer:

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Q2:

AE

Inthefigure,pointsA,B,C,D,andElieonaline.Aisonbothcircles,Bisthecenterofthesmallercircle,Cisthecenterofthelargercircle,Disonthesmallercircle,andEisonthelargercircle.Whatistheareaoftheregioninsidethelargercircleandoutsidethesmallercircle?

(1)AB=3andBC=2

(2)CD=1andDE=4

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:

Acertaincompanyassignsemployeestoofficesinsuchawaythatsomeoftheofficescanbeemptyandmorethanoneemployeecanbeassignedtoanoffice.Inhowmanywayscanthecompanyassign3employeesto2differentoffices?

A.5

B.6

C.7

D.8

E.9

Answer:

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Q4:

IfSisthesumofthereciprocalsoftheconsecutiveintegersfrom91to100,inclusive,whichofthefollowingislessthanS?

I.

II.

III.

A.None

B.Ionly

C.IIIonly

D.IIandIIIonly

E.I,II,andIII

Answer:

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Q5:

Ifvmt≠0,isv2m3t-4>0?

(1)m>v2

(2)m>t-4

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:

Ifacodewordisdefinedtobeasequenceofdifferentletterschosenfromthe10lettersA,B,C,D,E,F,G,H,I,andJ,whatistheratioofthenumberof5-lettercodewordstothenumberof4-lettercodewords?

A.5to4

B.3to2

C.2to1

D.5to1

E.6to1

Answer:

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Q7:

Ifyisthesmallestpositiveintegersuchthat3,150multipliedbyyisthesquareofaninteger,thenymustbe

A.2

B.5

C.6

D.7

E.14

Answer:

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Q8:

Anequilateraltrianglethathasanareaof9

isinscribedinacircle.Whatistheareaofthecircle?

A.

B.

C.

D.

E.

Answer:

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Q9:

Ifxandzareintegers,isatleastoneofthemeven?

(1)x+zisodd.

(2)x-zisodd.

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:

Acertainquantityismeasuredontwodifferentscales,theR-scaleandtheS-scale,thatarerelatedlinearly.MeasurementsontheR-scaleof6and24correspondtomeasurementsontheS-scaleof30and60,respectively.WhatmeasurementontheR-scalecorrespondstoameasurementof100ontheS-scale?

A.20

B.36

C.48

D.60

E.84

Answer:

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Q11:

Thetotalcostofanofficedinnerwassharedequallybykofthenemployeeswhoattendedthedinner.Whatwasthetotalcostofthedinner?

(1)Eachofthekemployeeswhosharedthecostofthedinnerpaid$19.

(2)Ifthetotalcostofthedinnerhadbeensharedequallybyk+1ofthenemployeeswhoattendedthedinner,eachofthek+1employeeswouldhavepaid$18.

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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Q12:

Acertainliquidleaksoutofacontainerattherateofklitersforeveryxhours.Iftheliquidcosts$6perliter,whatisthecost,indollars,oftheamountoftheliquidthatwillleakoutinyhours?

A.

B.

C.

D.

E.

Answer:

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Q13:

Whichofthefollowingisequalto

?

A.

B.

C.

D.

E.2

Answer:

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Q14:

Acompanyhasassignedadistinct3-digitcodenumbertoeachofits330employees.Eachcodenumberwasformedfromthedigits

2,3,4,5,6,7,8,9

andnodigitappearsmorethanonceinanyonecodenumber.Howmanyunassignedcodenumbersarethere?

A.6

B.58

C.174

D.182

E.399

Answer:

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Q15:

Ifs4v3x7<0,issvx<0?

(1)v<0

(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:

------------------------------------------------------------------------------------------------------------

Q16:

Is

<8?

(1)vandxareintegers.

(2)

=4and

=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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Q17:

Acertainlistconsistsof21differentnumbers.Ifnisinthelistandnis4timestheaverage(arithmeticmean)oftheother20numbersinthelist,thenniswhatfractionofthesumofthe21numbersinthelist?

A.

B.

C.

D.

E.

Answer:

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Q18:

Ifwz<2,isz<1?

(1)w>2

(2)z<2

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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Q19:

Inacertainregion,thenumberofchildrenwhohavebeenvaccinatedagainstrubellaistwicethenumberwhohavebeenvaccinatedagainstmumps.Thenumberwhohavebeenvaccinatedagainstbothistwicethenumberwhohavebeenvaccinatedonlyagainstmumps.If5,000havebeenvaccinatedagainstboth,howmanyhavebeenvaccinatedonlyagainstrubella?

A.2,500

B.7,500

C.10,000

D.15,000

E.17,500

Answer:

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Q20:

Inthesequence1,2,4,8,16,32,…,eachtermafterthefirstistwicethepreviousterm.Whatisthesumofthe16th,17th,and18thtermsinthesequence?

A.218

B.3(217)

C.7(216)

D.3(216)

E.7(215)

Answer:

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Q21:

Atagaragesale,allofthepricesoftheitemssoldweredifferent.Ifthepriceofaradiosoldatthegaragesalewasboththe15thhighestpriceandthe20thlowestpriceamongthepricesoftheitemssold,howmanyitemsweresoldatthegaragesale?

A.33

B.34

C.35

D.36

E.37

Answer:

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Q22:

m

n

Linesmandnintersect,asshowninthefigureabove.Whatisthevalueofu-w?

(1)u=90

(2)Linesmandnareperpendicular.

A.Statement

(1)ALONEissufficient,butstatement

(2)aloneisnotsufficient.

B.Statement

(2)ALONEissufficient,butstatement

(1)

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