MATH13.docx
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MATH13.docx
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MATH13
MathSection
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Q1:
ThepopulationofCityXis50percentofthepopulationofCityY.ThepopulationofCityXiswhatpercentofthetotalpopulationofCityXandCityY?
A.25%
B.33
%
C.40%
D.50%
E.66
%
Answer:
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Q2:
Guy’snetincomeequalshisgrossincomeminushisdeductions.BywhatpercentdidGuy’snetincomechangeonJanuary1,1989,whenbothhisgrossincomeandhisdeductionsincreased?
(1)Guy’sgrossincomeincreasedby4percentonJanuary1,1989.
(2)Guy’sdeductionsincreasedby15percentonJanuary1,1989.
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:
Eachparticipantinacertainstudywasassignedasequenceof3differentlettersfromtheset{A,B,C,D,E,F,G,H}.Ifnosequencewasassignedtomorethanoneparticipantandif36ofthepossiblesequenceswerenotassigned,whatwasthenumberofparticipantsinthestudy?
(Note,forexample,thatthesequenceA,B,CisdifferentfromthesequenceC,B,A.)
A.20
B.92
C.300
D.372
E.476
Answer:
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Q4:
OfthetotalamountthatJillspentonashoppingtrip,excludingtaxes,shespent50percentonclothing,20percentonfood,and30percentonotheritems.IfJillpaida4percenttaxontheclothing,notaxonthefood,andan8percenttaxonallotheritems,thenthetotaltaxthatshepaidwaswhatpercentofthetotalamountthatshespent,excludingtaxes?
A.2.8%
B.3.6%
C.4.4%
D.5.2%
E.6.0%
Answer:
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Q5:
Ifxandyarepositive,isx3>y?
(1)
>y
(2)x>y
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:
Theinfinitesequencea1,a2,…,an,…issuchthata1=2,a2=-3,a3=5,a4=-1,andan=an-4forn>4.Whatisthesumofthefirst97termsofthesequence?
A.72
B.74
C.75
D.78
E.80
Answer:
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Q7:
Foracertainrace,3teamswereallowedtoenter3memberseach.Ateamearned6–npointswheneveroneofitsmembersfinishedinnthplace,where1≤n≤5.Therewerenoties,disqualifications,orwithdrawals.Ifnoteamearnedmorethan6points,whatistheleastpossiblescoreateamcouldhaveearned?
A.0
B.1
C.2
D.3
E.4
Answer:
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Q8:
Atacertainfoodstand,thepriceofeachappleis¢40andthepriceofeachorangeis¢60.Maryselectsatotalof10applesandorangesfromthefoodstand,andtheaverage(arithmeticmean)priceofthe10piecesoffruitis¢56.HowmanyorangesmustMaryputbacksothattheaveragepriceofthepiecesoffruitthatshekeepsis¢52?
A.1
B.2
C.3
D.4
E.5
Answer:
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Q9:
ProfessorVasquezgaveaquiztotwoclasses.Wastherangeofscoresforthefirstclassequaltotherangeofscoresforthesecondclass?
(1)Ineachclass,thenumberofstudentstakingthequizwas26,andthelowestscoreineachclasswas70.
(2)Ineachclass,theaverage(arithmeticmean)scoreonthequizwas85.
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:
Ifxandyarepositiveintegers,whatisthevalueofx?
(1)3x5y=1,125
(2)y=3
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:
Ifd-9=2d,thend=
A.-9
B.-3
C.1
D.3
E.9
Answer:
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Q12:
Thereare11womenand9meninacertainclub.Iftheclubistoselectacommitteeof2womenand2men,howmanydifferentsuchcommitteesarepossible?
A.120
B.720
C.1,060
D.1,520
E.1,980
Answer:
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Q13:
IsthemeasureofoneoftheinterioranglesofquadrilateralABCDequalto60degrees?
(1)TwooftheinterioranglesofABCDarerightangles.
(2)ThedegreemeasureofangleABCistwicethedegreemeasureofangleBCD.
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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Q14:
$10,000isdepositedinacertainaccountthatpaysrpercentannualinterestcompoundedannually,theamountD(t),indollars,thatthedepositwillgrowtointyearsisgivenbyD(t)=10,000{1+(r/100)}t.Whatamountwillthedepositgrowtoin3years?
(1)D(t)=11,000
(2)r=10
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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Q15:
Ifaandbareintegers,isbeven?
(1)3a+4biseven.
(2)3a+5biseven.
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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Q16:
TheareaofsquareSisequaltotheareaofrectangleR.WhatistheperimeterofsquareS?
(1)ThelengthofoneofthesidesofrectangleRistwicethelengthofasideofsquareS.
(2)TheareaofrectangleRis36.
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:
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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Q18:
Acertaincompanythatsellsonlycarsandtrucksreportedthatrevenuesfromcarsalesin1997weredown11percentfrom1996andrevenuesfromtrucksalesin1997wereup7percentfrom1996.Iftotalrevenuesfromcarsalesandtrucksalesin1997wereup1percentfrom1996,whatistheratioofrevenuefromcarsalesin1996torevenuefromtrucksalesin1996?
A.1:
2
B
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