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12MathSection------------------------------------------------------------------------------------------------------------Q1:Ofthefruitthatarrivesatacannery,20percentbyweightisrejectedbeforeprocessing.Ofthefruitthatisprocessed,15percentbyweightisrejectedbeforecanning.Ofthefruitthatarrivesatthecannery,whatpercentbyweightiscanned?A.32%B.35%C.65%D.68%E.70%Answer:------------------------------------------------------------------------------------------------------------Q2:Whatistheratiooftheaverage(arithmeticmean)heightofstudentsinclassXtotheaverageheightofstudentsinclassY?(1)TheaverageheightofthestudentsinclassXis120centimeters.(2)TheaverageheightofthestudentsinclassXandclassYcombinedis126centimeters.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:------------------------------------------------------------------------------------------------------------Q3: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:------------------------------------------------------------------------------------------------------------Q4:13Foranonnegativeintegern,iftheremainderis1when2nisdividedby3,thenwhichofthefollowingmustbetrue?I.nisgreaterthanzero.II.3n=(-3)nIII.√2nisaninteger.A.IonlyB.IIonlyC.IandIID.IandIIIE.IIandIIIAnswer:------------------------------------------------------------------------------------------------------------Q5:Acertainclubhas20members.Whatistheratioofthememberof5-membercommitteesthatcanbeformedfromthemembersoftheclubtothenumberof4-membercommitteesthatcanbeformedfromthemembersoftheclub?A.16to1B.15to1C.16to5D.15to6E.5to4Answer:------------------------------------------------------------------------------------------------------------Q6:Ifacompanyallocates15percentofitsbudgettoadvertising,10percenttocapitalimprovements,and55percenttosalaries,whatfractionofitsbudgetremainsforotherallocations?A.4/5B.3/5C.3/10D.1/5E.1/10Answer:------------------------------------------------------------------------------------------------------------Q7:Ifx(x-5)(x+2)=0,isxnegative?(1)x2–7x≠0(2)x2–2x–15≠0A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.14B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.Answer:------------------------------------------------------------------------------------------------------------Q8:QR30°PSInparallelogramPQRSshown,ifPQ=4andQR=6,whatistheareaofPQRS?A.8B.12C.24D.8√3E.12√3Answer:------------------------------------------------------------------------------------------------------------Q9:Acertainfarmerpays$30peracrepermonthtorentfarmland.Howmuchdoesthefarmerpaypermonthtorentarectangularplotoffarmlandthatis360feetby605feet?(43,560squarefeet=1acre)A.$5,330B.$3,630C.$1,350D.$360E.$150Answer:------------------------------------------------------------------------------------------------------------Q10:When200gallonsofoilwereremovedfromatank,thevolumeofoilleftinthetankwas3/7ofthetank’scapacity.Whatwasthetank’scapacity?(1)Beforethe200gallonswereremoved,thevolumeofoilinthetankwas1/2ofthetank’scapacity.(2)Afterthe200gallonswereremoved,thevolumeofoilleftinthetankwas1,600gallonslessthanthetank’scapacity.A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.15C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.Answer:------------------------------------------------------------------------------------------------------------Q11:OnSaturdaymorning,Malachiwillbeginacampingvacationandhewillreturnhomeattheendofthefirstdayonwhichitrains.Ifonthefirstthreedaysofthevacationtheprobabilityofrainoneachdayis0.2,whatistheprobabilitythatMalachiwillreturnhomeattheendofthedayonthefollowingMonday?A.0.008B.0.128C.0.488D.0.512E.0.640Answer:------------------------------------------------------------------------------------------------------------Q12:Ifxandyareintegersandx0,isy0?(1)7x–2y0(2)-yxA.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissuf
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