1MathSection------------------------------------------------------------------------------------------------------------Q1:Afamily-sizeboxofcerealcontainsmorecerealandcostsmorethantheregular-sizeboxofcereal.Whatisthecostperounceofthefamily-sizeboxofcereal?(1)Thefamily-sizeboxofcerealcontains10ouncesmorethantheregular-sizeboxofcereal.(2)Thefamily-sizeboxofcerealcosts$5.40.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:------------------------------------------------------------------------------------------------------------Q2:Acertainrollercoasterhas3cars,andapassengerisequallylikelytorideinany1ofthe3carseachtimethatpassengerridestherollercoaster.Ifacertainpassengeristoridetherollercoaster3times,whatistheprobabilitythatthepassengerwillrideineachofthe3cars?A.0B.1/9C.2/9D.1/3E.1Answer:------------------------------------------------------------------------------------------------------------Q3:Ifxandyarepositive,is4x3y?(1)xy-x(2)x/y1A.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:------------------------------------------------------------------------------------------------------------Q4:2Ifnistheproductoftheintegersfrom1to20inclusive,whatisthegreatestintegerkforwhich2kisafactorofn?A.10B.12C.15D.18E.20Answer:------------------------------------------------------------------------------------------------------------Q5:Isxk?(1)2x•2k=4(2)9x•3k=81A.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:Ifxandyarepositive,whatisthevalueofx–y?(1)(x2–y2)/(x+y)=4(2)x+y=7A.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:------------------------------------------------------------------------------------------------------------Q7:Acircularmatwithdiameter20inchesisplacedonasquaretabletop,eachofwhosesidesis24incheslong.Whichofthefollowingisclosesttothefractionofthetabletopcoveredbythemat?A.5/12B.2/5C.1/2D.3/4E.5/63Answer:------------------------------------------------------------------------------------------------------------Q8:In1997therewere300femaleemployeesatCompanyC.IfthenumberoffemaleemployeesatCompanyCincreasedby60percentfrom1977to1987,bywhatpercentdidthenumberoffemaleemployeesatCompanyCincreasefrom1987to1997?(1)From1977to1997thenumberoffemaleemployeesincreasedby200percentatCompanyC.(2)In1977therewere100femaleemployeesatCompanyC.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:------------------------------------------------------------------------------------------------------------Q9:Agardenerisgoingtoplant2redrosebushesand2whiterosebushes.Ifthegardeneristoselecteachofthebushesatrandom,oneatatime,andplanttheminarow,whatistheprobabilitythatthe2rosebushesinthemiddleoftherowwillbetheredrosebushes?A.1/12B.1/6C.1/5D.1/3E.1/2Answer:------------------------------------------------------------------------------------------------------------Q10:Asetofnumbershasthepropertythatforanynumbertintheset,t+2isintheset.If–1isintheset,whichofthefollowingmustalsobeintheset?I.-3II.1III.5A.IonlyB.IIonlyC.IandIIonlyD.IIandIIIonlyE.I,II,andIIIAnswer:------------------------------------------------------------------------------------------------------------4Q11:Inacorporation,50percentofthemaleemployeesand40percentofthefemaleemployeesareatleast35yearsold.If42percentofalltheemployeesareatleast35yearsold,whatfractionoftheemployeesinthecorporationarefemales?A.3/5B.2/3C.3/4D.4/5E.5/6Answer:------------------------------------------------------------------------------------------------------------Q12:Ifnisanintegerand2n6,whatisthevalueofn?(1)nisafactorof15.(2)nisafactorof21.A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTH