MATH11.docx
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MATH11.docx
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MATH11
MathSection
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Q1:
Attheopeningofatradingdayatacertainstockexchange,thepricepershareofstockKwas$8.IfthepricepershareofstockKwas$9attheclosingoftheday,whatwasthepercentincreaseinthepricepershareofstockKforthatday?
A.1.4%
B.5.9%
C.11.1%
D.12.5%
E.23.6%
Answer:
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Q2:
Whichofthefollowingisequalto(212–26)/(26–23)?
A.26+23
B.26–23
C.29
D.23
E.2
Answer:
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Q3:
Whatistheprobabilitythatastudentrandomlyselectedfromaclassof60studentswillbeamalewhohasbrownhair?
(1)One-halfofthestudentshavebrownhair.
(2)One-thirdofthestudentsaremales.
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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Q4:
John,Karen,andLukecollectedcansofvegetablesforafooddrive.ThenumberofcansthatJohncollectedwas1/2thenumberofcansthatKarencollectedand1/3thenumberofcansthatLukecollected.ThenumberofcansthatLukecollectedwaswhatfractionofthetotalnumberofcansthatJohn,Karen,andLukecollected?
A.1/5
B.1/3
C.2/5
D.1/2
E.2/3
Answer:
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Q5:
Thesidesofasquareregion,measuredtothenearestcentimeters,are6centimeterslong.Theleastpossiblevalueoftheactualareaofthesquareregionis
A.36.00sqcm
B.35.00sqcm
C.33.75sqcm
D.30.25sqcm
E.25.00sqcm
Answer:
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Q6:
Forallintegersxandy,theoperationisdefinedbyxy=(x+2)2+(y+3)2.Whatisthevalueofintegert?
(1)t2=74
(2)2t=80
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:
Beforeacertaintireisused,40percentofitstotalweightconsistsoftread.Ifduringalifetimeofuse,50percent,byweight,ofthetire’streadislostandnootherpartsofthetireislost,whatpercentofthetire’stotalremainingweightconsistsoftheremainingtread?
A.55%
B.20%
C.25%
D.30%
E.35%
Answer:
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Q8:
Whenpositiveintegerxisdividedby5,theremainderis3;andwhenxisdividedby7,theremainderis4.Whenpositiveintegeryisdividedby5,theremainderis3;andwhenyisdividedby7,theremainderis4.Ifx>y,whichofthefollowingmustbeafactorofx-y?
A.12
B.15
C.20
D.28
E.35
Answer:
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Q9:
Ifxandyarenonzerointegers,is18afactorofxy2?
(1)xisamultipleof54.
(2)yisamultipleof6.
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:
Is(t/3)>(w/5)?
(1)w>t
(2)5t>3w
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:
Acertaincompanythatsellsonlycarsandtrucksreportedthatrevenuesfromcarsalesin1997weredown11percentfrom1996andrevenuesfromtrucksalesin1997wereup7percentfrom1996.Iftotalrevenuesfromcarsalesandtrucksalesin1997wereup1percentfrom1996,whatistheratioofrevenuefromcarsalesin1996torevenuefromtrucksalesin1996?
A.1:
2
B.4:
5
C.1:
1
D.3:
2
E.5:
3
Answer:
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Q12:
Whichofthefollowingisequalto[1/(√3-√2)]2?
A.1
B.5
C.√6
D.5-√6
E.5+2√6
Answer:
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Q13:
Onacertainday,Timinvested$1,000at10percentannualinterest,compoundedannually,andLanainvested$2,000at5percentannualinterest,compoundedannually.ThetotalamountofinterestearnedbyTim’sinvestmentinthefirst2yearswashowmuchgreaterthanthetotalamountofinterestearnedbyLana’sinvestmentinthefirst2years?
A.$5
B.$15
C.$50
D.$100
E.$105
Answer:
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Q14:
Foraconvention,ahotelchargesadailyroomrateof$120for1personandxdollarsforeachadditionalperson.Whatisthechargeforeachadditionalperson?
(1)Thedailycostperpersonfor4peoplesharingthecostofaroomequallyis$45.
(2)Thedailycostperpersonfor2peoplesharingthecostofaroomequallyis$25morethanthecorrespondingcostfor4people.
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:
Isxy>x/y?
(1)xy>0
(2)y<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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Q16:
Isr>-1?
(1)r>-5
(2)r<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.
Answer:
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Q17:
Ifthevolumeofasmallcontaineris14,520cubicmillimeters,whatisthevolumeofthecontainerincubiccentimeters?
(1millimeter=0.1centimeter)
A.0.1452
B.1.452
C.14.52
D.145.2
E.1,452
Answer:
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Q18:
2x+y=12
y≤12
Forhowmanyorderedpairs(x,y)thataresolutionsofthesystemabovearexandybothintegers?
A.7
B.10
C.12
D.13
E.14
Answer:
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Q19:
Inthexy-plane,thesidesofacertainrectangleareparalleltotheaxes.Ifoneoftheverticesoftherectangleis(-1,-2),whatistheperimeteroftherectangle?
(1)Oneoftheverticesoftherectangleis(2,-2).
(2)Oneoftheverticesoftherectangleis(2,3).
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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Q20:
Tom,Jane,andSueeachpurchasedanewhouse.Theaverage(arithmeticmean)priceofthethreehouseswas$120,000.Whatwasthemedianpriceofthethreehouses?
(1)ThepriceofTom’shousewas$110,000.
(2)ThepriceofJane’shousewas$120,000.
A.Statement
(1)ALONEissufficient,butstatement
(2)aloneisnotsufficient.
B.Statement
(2)ALONEissufficient,butstatement
(1)aloneisnotsufficient.
C.BOTHstatementsTOGETHERaresufficient,bu
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