GRE十三套习题之三M.docx

GRE十三套习题之三M.docx

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GRE十三套习题之三M

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Q1:

ThepopulationofCityXis50percentofthepopulationofCityY.ThepopulationofCityXiswhatpercentofthetotalpopulationofCityXandCityY?

A.25%

B.（331/3）%

C.40%

D.50%

E.（662/3）%

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Q2:

Whatisthegreatestprimefactorof2100-296?

A.2

B.3

C.5

D.7

E.11

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Q3:

Howmanylitersofapplejuicewereaddedtothecranberryjuiceinacertaincontainer?

（1）Theamountofapplejuicethatwasaddedwas3/2theamountofcranberryjuiceinthecontainer.

（2）Therewere5litersofcranberryjuiceinthecontainer.

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.

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Q4:

Inademographicstudy,thepopulationandtotalincomeofacertainregionwereestimatedfromotherdata,andbothestimateshadlowerandupperlimits.Atthetimeoftheestimates,wasthepercapitaincomefortheregiongreaterthan$16,500?

（1）Thelowerlimitfortheestimateofthepopulationwas330,000people.

（2）Thelowerlimitfortheestimateofthetotalincomewas$5,500,000,000.

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.

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Q5:

Isx<1?

（1）x+1=2x-1

（2）x-3≠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.

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Q6:

Aboxcontains10lightbulbs,fewerthanhalfofwhicharedefective.Twobulbsaretobedrawnsimultaneouslyfromthebox.Ifnofthebulbsinboxaredefective,whatisthevalueofn?

（1）Theprobabilitythatthetwobulbstobedrawnwillbedefectiveis1/15.

（2）Theprobabilitythatoneofthebulbstobedrawnwillbedefectiveandtheotherwillnotbedefectiveis7/15.

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.

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Q7:

Thereare11womenand9meninacertainclub.Iftheclubistoselectacommitteeof2womenand2men,howmanydifferentsuchcommitteesarepossible?

A.120

B.720

C.1,060

D.1,520

E.1,980

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Q8:

B

AC

Inthefigureshown,thetriangleisinscribedinthesemicircle.IfthelengthoflinesegmentABis8andthelengthoflinesegmentBCis6,whatisthelengthofarcABC?

A.15

B.12

C.10

D.7

E.5

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Q9:

If5x=2yandxy≠0,theniswhatpercentofy?

A.2%

B.4%

C.10%

D.40%

E.50%

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Q10:

Inthefigureshown,twoidenticalsquaresareinscribedintherectangle.Iftheperimeteroftherectangleis18√2,thenwhatistheperimeterofeachsquare?

A.8√2

B.12

C.12√2

D.16

E.18

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Q11:

Theproductoftheunitsdigit,thetensdigit,andthehundredsdigitofthepositiveintegermis96.Whatistheunitsdigitofm?

（1）misodd.

（2）Thehundredsdigitofmis8.

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.

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Q12:

DivisionRofCompanyQhas1,000employees.Whatistheaverage（arithmeticmean）annualsalaryoftheemployeesatCompanyQ?

（1）TheaverageannualsalaryoftheemployeesinDivisionRis$30,000.

（2）TheaverageannualsalaryoftheemployeesatCompanyQwhoarenotinDivisionRis$35,000.

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.

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Q13:

Thesequencea1,a2,…,an,…issuchthatan=2an-1-xforallpositiveintegersn≥2andforcertainnumberx.Ifa5=99anda3=27,whatisthevalueofx?

A.3

B.9

C.18

D.36

E.45

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Q14:

BoxWandBoxVeachcontainseveralbluesticksandredsticks,andalloftheredstickshavethesamelength.Thelengthofeachredstickis18incheslessthantheaveragelengthofthesticksinBoxWand6inchesgreaterthantheaveragelengthofthesticksinBoxV.Whatistheaverage（arithmeticmean）length,ininches,ofthesticksinBoxWminustheaveragelength,ininches,ofthesticksinBoxV?

A.3

B.6

C.12

D.18

E.24

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Q15:

Ifx≠0,then（x+1/x）2-（x-1/x）2=

A.1/x

B.x

C.1

D.2

E.4

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Q16:

Ifm,p,andtarepositiveintegersandm

（1）t–p=p-m

（2）t–m=16

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.

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Q17:

Ifacertaincoinisflipped,theprobabilitythatthecoinwilllandheadsis1/2.Ifthecoinisflipped5times,whatistheprobabilitythatitwilllandheadsuponthefirst3flipsandnotonthelast2flips?

A.3/5

B.1/2

C.1/5

D.1/8

E.1/32

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Q18:

Thefunctionfisdefinedbyf（x）=√x–10forallpositivenumbersx.Ifu=f（t）forsomepositivenumberstandu.Whatistintermsofu?

A.√（u+10）

B.（√u+10）2

C.√（u2+10）

D.（u+10）2

E.（u2+10）2

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Q19:

y

l

2

-30x

Thegraphofwhichofthefollowingequationsisastraightlinethatisparalleltolinelinthefigureabove?

A.3y–2x=0

B.3y+2x=0

C.3y+2x=6

D.2y–3x=6

E.2y+3x=-6

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Q20:

WhatisthetotalnumberofexecutivesatCompanyP?

（1）Thenumberofmaleexecutivesis3/5thenumberoffemaleexecutives.

（2）Thereare4morefemaleexecutivesthanmaleexecutives.

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.

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Q21:

Theratioofthenumberofboystothen