Time-35minutes 24Questions Questions1-6 Sevenstudents-fourth-yearstudentsKimandLee;third-yearstudentsPat andRobin:andsecond-yearstudentsSandy,TetyandVal-andonlythoseseven, arebeingassignedaroomsofequalsizeinadormitory.Eachroomassigned musthaveeitheroneortwoorthreestudentsassignedtoitandwill accordinglybecalledeitherasingleoradoubleoratriple.Theseven studentsareassignedtomomsinaccordencewiththefollowingconditions: Liofourth-yearstudentcanbeassignedtoatriple. Nosecond-yearstudentcanbeassignedtoasingle. LeeandPobinmustnotsharethesameroom KimandPatmustsharethesameroom. 1.Whichoneofthefollowingisacombinationofroomstowhichtheseven studentscouldbeassigned? twotriplesandonesingle onetripleandfoursingles threedoublesandastngle twodoublesandthreesingles onedoubleandfivesingles 2.IttheroomassignedtoRobinisasingle,whichoneofthefollowingcould betrue? Thereisexactlyonedoublethathasasecond-yearstudentassignedtoit. Leeisassignedtoastngle. SandyFatandoneotherstudentarezseignedtoatripletogether. Lixactlythreeoftheroomsassignedtothestudentsaresingles Exactlytwooftheroomsassignedtothestudentsaredoubles. 3.Whichoneofthefollowingmustbetrue? Leeisassignedtoasingle Patshartsadoublewithanotherstudent Robinsharesadoublewithanotherstudent Twoofthesecond-yearstudentsshareadoublewitheachother Neitherofthethird-yearstudentsisassignedtoasingle 4.IfRobinisassigredtoatriple,whichoneofthefollowingmustbetrue? Leeisassignedtoasingle Twosecond-yearstudentsshareadoublewitheachother Noneoftheroomsassignedtothestudentsisasingle Twooftheroomsassignedtothestudentsaresingles. Threeoftheroomsassignedtothestudentsaresingles 5.IfTerryandValassignedtodifferentdoublesfromeachother,other,then itmustbetrueofthestudentsroomsthatexactly oneisasingle twoaresingles twoaredoubles oneisatriple twoaretriples 6.Whichoneofthefollowingcouldbetrue? Thetwofourth-yearstudentsareassignedtosingles. Thetwofourth-yearstudentsshareadoublewithcachother. Leesharesaroomwithasecond-yearstudent Leesharesaroomwithathird-yearstudent Patsharesatriplewithtwootherstudents Questions7-11 Aworkerwillinsertcoloredlightbulbsintoabillboardequippedwith exactlythreelightsockets,whicharelabledlights1,2,and3.Theworker hasthreegreenbulbs,threepurplebulbs,andthreeyellowbulbs.Seiectionof bulbsforthesocketsisgovernedbythefollowingconditions: Wheneverlight1ispurple,light2mustbeyellow. Wheneverlight2ispurple,light1mustbegreen. Wheneverlight3iseitherpurpleoryellow,light2mustbepurple. 7.Whichoneofthefollowingcouldbeanaccuratelistofthecolorsoflight bulbsselectedforlights1,2and3,respectively? green,green,yellow purple,green,green purple,purple,green yellow,purple,green yellow,yellow,yellow 8.Iflight1isyellow,thenanyofthefollowingcanbetrue,EXCEPT: Light2isgreen. Light2ispurple Light3isgreen Light3ispurple Light3isyellow 9.Thereisexactlyonepossiblecolorsequenceofthethreelightsifwhich oneofthefollowingistrue? Light1ispurple. Light2ispurple. Light2isyellow Light3ispurple. Light3isyellow 10.Ifnogreenbulbsareselected,thereareexactlyhowmanypossible differentcolorsequencesofthethreelights? one two three four five 11.Ifnotwolightsareassignedlightbulbsthatarethesamecoloraseach other,thenwhichoneofthefollowingcouldbetrue? LightIisgreen,andlight2ispurple. LightIisgreen,andlight2isyellow. LightIispurple,andlight2isyellow. LightIisyellow,andlight2isgreen. LightIisyellow,andlight2ispurple
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