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12MathSection------------------------------------------------------------------------------------------------------------Q1:Ifkisnegative,whichofthefollowingmustalsobenegative?A.(-k)2B.(-1)kC.1-kD.k+1E.k-1Answer:------------------------------------------------------------------------------------------------------------Q2:OnSaturdaymorning,Malachiwillbeginacampingvacationandhewillreturnhomeattheendofthefirstdayonwhichitrains.Ifonthefirstthreedaysofthevacationtheprobabilityofrainoneachdayis0.2,whatistheprobabilitythatMalachiwillreturnhomeattheendofthedayonthefollowingMonday?A.0.008B.0.128C.0.488D.0.512E.0.640Answer:------------------------------------------------------------------------------------------------------------Q3:Eachofthe45boxesonshelfJweighslessthaneachofthe44boxesonshelfK.Whatisthemedianweightofthe89boxesontheseshelves?(1)TheheaviestboxonshelfJweighs15pounds.(2)ThelightestboxonshelfKweighs20pounds.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:------------------------------------------------------------------------------------------------------------Q4:WhatisthetotalvalueofCompanyH’sstock?(1)InvestorPowns¼ofthesharesofCompanyH’stotalstock.(2)ThetotalvalueofInvestorQ’ssharesofCompanyH’sstockis$16,000.13A.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:------------------------------------------------------------------------------------------------------------Q5:If(y+3)(y-1)–(y-2)(y-1)=r(y-1),whatisthevalueofy?(1)r2=25(2)r=5A.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:------------------------------------------------------------------------------------------------------------Q6:Ifxandkareintegersand(12x)(42x+1)=(2k)(32),whatisthevalueofk?A.5B.7C.10D.12E.14Answer:------------------------------------------------------------------------------------------------------------Q7:Ifx0,then(-xx)isA.-xB.-1C.1D.xE.xAnswer:------------------------------------------------------------------------------------------------------------Q8:Athinpieceofwire40meterslongiscutintotwopieces.Onepieceisusedtoformacirclewithradiusr,andtheotherisusedtoformasquare.Nowireisleftover.Whichofthefollowingrepresentsthetotalarea,insquaremeters,ofthecircularandthesquareregionsintermsofr?14A.r2B.r2+10C.r2+¼2r2D.r2+(40-2r)2E.r2+(10-½r)2Answer:------------------------------------------------------------------------------------------------------------Q9:Ifrisaconstantandan=rnforallpositiveintegersn,forhowmanyvaluesofnisan100?(1)a50=500(2)a100+a105=2,050A.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:------------------------------------------------------------------------------------------------------------Q10:Ifthelengthofacertainrectangleis2greaterthanthewidthoftherectangle,whatistheperimeteroftherectangle?(1)Thelengthofeachdiagonaloftherectangleis10.(2)Theareaoftherectangularregionis48.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:------------------------------------------------------------------------------------------------------------Q11:Ifsistheproductoftheintegersfrom100to200,inclusive,andtistheproductoftheintegersfrom100to201,inclusive,whatis1/s+1/tintermsoft?A.(201)2/tB.[(202)(201)]/tC.201/tD.202/tE.[(202)(201)]/t2Answer:15------------------------------------------------------------------------------------------------------------Q12:Acertaindealershiphasanumberofcarstobesoldbyitssalespeople.Howmanycarsaretobesold?(1)Ifeachofthesalespeoplesales4ofthecars,23carswillremainunsold.(2)Ifeachofthesalespeoplesales6ofthecars,5carswillremainunsold.A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)
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