Time35minutes 23Questions Questions1-5 Incertainrecipecontesteachcontestantsubmitssubmitstworecipes.one foranappetizerandoneforamaindishTogetherthetworecipesmustinclude exactlysevenflavoringsfenugreek,ginger,lemongrass,nutmeg,paprika, saffron,andturmericwithnoflavoringincludedinmorethanoneofthetwo recipes.Eachcontestantsrecipesmustsatisfythefollowingconditions Theappetizerrecipeincludesatmostthreeoftheflavorings. Fenugreekisnotincludedinthesamerecipeasnutmeg. Saffronisnotincludedinthesamerecipeasturmeric Gingerisincludedinthesamerecipeasnutmeg 1.Whichoneofthefollowingcouldbeacompleteandaccuratelistofthe flavoringsincludedinonecontestantsmain-dishrecipe? fenugreek,lemongrass,saffron fenugreek,ginger,nutmeg,turmeric ginger,lemongrass,nutmeg,paprika ginger,nutmeg,paprika,turmeric lemongassnutmeg,saffron,turmeric 2.Ifacontestantsappetizerrecipedoesnotincludefenugreek,thenthe contestantsappetizerrecipemustinclude ginger lemongrass paprika saffron turmeric 3.Whichoneofthefollowingcouldbealistofalloftheflavoringsincluded inonecontestantsappetizerrecipe? fenugreek,saffron ginger,nutmeg fenugreek,nutmeg,turmeric lemongrass,nutmeg,saffron fenugreek,lemongrass,paprika,turmeric 4.Ifacontestantincludeslemongrassinthesamerecipeaspaprika,whichone ofthefollowingisaflavoringthatmustbeincludedinthecontestantsmain- dishrecipe? ginger lemongrass nutmeg saffron turmeric 5.Iftheconditionthatrequiresgingertobeincludedinthesamerecipeas nutmegissuspendedbutalloftheotheroriginalconditionsremainineffect. thenwhichoneofthefollowingcouldbealistofalloftheflavorings includedinonecontestantsmain-dishrecipe? ginger,lemongrass,nutmeg,paprika ginger,lemongrass,paprika,turmeric fenugreek,ginger,lemongrass,paprika,saffron fenugreek,ginger,lemongrass,saffron,turmeric fenugreek,lemongrass,nutmeg,paprika,saffron Questions6-10 SevensingerJamine,Ken,Lalitha,Maya,Norton,Olive,andPatrickwill bescheduledTOPerforminthefinalsofasingingcompetition.Duringthe eveningofthecompetition,eachsinger,performingalone,willgiveexactly oneperformance.Theschedulefortheeveningmustconformtothefollowing requirements. JamleperformsimmediatelyafterKen ParickperformsatsometimeafterMaya LalithaperformsthirdonlyifNortonperformsfifth. IfPatrickdoesnotperformsecond,heperformsfifth 6.Whichoneofthefollowingisanacceptableschedulefortheevenings performers,fromfirstthroughseventh? Ken,Jamie,Maya,Lalitha,PatrickNorton,Olive Lalitha,Patrick,Norton,OliveMaya,Ken,Jamie Norton,OliveKen,Jamie,Maya,Patrick,Lalitha Olive,Maya,Ken,Lalitha,Patrick,Norton,Jamie Olive,Maya,Lalitha,Norton,Patrick,KenJamie 7.IfLalithaisscheduledforthethirdperformancewhichoneofthefollowing mustbescheduledforthesixthperformance? Jame Ken Norton Olive Patrick 8.IfNortonisscheduledforthefifthperformance,whichoneofthefollowing couldbetrue? Jamieisscheduledforthesixthperformance Kenisscheduledforthesecondperformance Lalithaisscheduledforthefourthperformance. Mayaisscheduledforthethirdperformance Oliveisscheduledforthefirstperformance 9.IfMayaisscheduledfortheperformance.whichoneofthefollowingcould betrue? Jamieisscheduledforthesixthperformance Kenisscheduledforthefourthperformance Lalithaisscheduledforthethirdperformance Nortonisscheduledforthefifthperformance Oliveisscheduledforthefourthperformance 10.IfJamiesperformanceisscheduledtobeimmediatelybeforeLalithas performance,JamiesperformanceCANNOTbescheduledtobe second third fourth fifth sixth Questions11-17 Atasmallpress,sixtexbooks,threeintroductoryF.G.andHandthree advancedX,Y,andZwilleachbeevaluatedoncebytheeditor,Juarez,and oncebythepublisher.Rosenberg,duringsixconsecutiveweesweek1through week6Eachevaluatorevatuatesexactlyonetextbookperweek.Notextbookwill beevaluatedbyJuarezandRosenbergduringthesameweek.Thefollowing additionalconstraintsapply. RosenberycannotevaluateanyintroductorytextbookuntilJuarezhas evaluatedthattextbook Juarezcannotevaluateanyadvancedtextbookuntil Rosenberghasevaluatedthattextbook Rosenbergcannotevaluateanytwointroductorytextbooksconsecutively JuarezmustevaluateXduringweek4. 11.Whichoneofthefollowingisanacceptableevaluationschedulewiththe textbookslistedinorderofevaluationfromweek1throughweek6? JuarezF.G.X.Z.H.Y RosenbergX.F.Z.G.Y.H Juarez:F,Y,G,X,H,Z Rosenberg,Y,F,X,G,Z,H JuarezG,H,F,X,Y,Z RosenbergX,G,H,Y,Z,F JuarezG,Z,F,Z,H,Y, RosenbergZ,F,X,G,Y,H JuarezH,Y,F,X,G,Z RosenbergX,H,Z,F,Y,G 12.IfJuarezevaluatesHduringweek3andRosenbergevaluatesGduringweek 6,whichonefothefollowingmustbetrue? JuarezevaluatesFduringweek1 JuarezevaluatesGduringweek2. JuarezevaluatesZduringweek6. RosenbergevaluatesXduringweek1 RosenbergevaluatesYduringweek5. 13.IfJuarezevaluatesZduringweek2,thenRosenbergmustevaluatewhichone ofthefollowingtextbooksduringweek5? F H X Y Z 14.Whichoneofthefollowingmustbetrue? RosenbergevaluatesHduringweek6 Rosenbergevaluatesanadvancedtextbookduringweek3 Juarezevaluatesanadvancedtextbookduringweek2. JuarezevaluatesYbeforeevaluatingG. Juarezdoesnotevaluateanytwointroductroytextbooksconsecutively 15.IfRosenbergevaluatesXduringweek1andFduringweek2,whichoneof thefollowingcouldbetrue? XisthethirdoftheadvancedtextbookstobeevaluatedbyJuarez. YisthefirstoftheadvancedtextbookstobeevaluatedbyJuarez. Juarezdoesnotevaluateanytwointroductorytexbooksinarow. JuarezevaluatesGduringweek5. JuarezevaluatesZduringweek6. 16.Whichoneofthefollowingisacompleteandaccuratelistofthethose weeksduringwhichJuarezmustevaluateanintroductorytextbook? week1 week6 week1,week5 week1,week2,week3 week1,week3,week5. 17.Whichoneofthefollowingcouldbetrue? JuarezevaluatesFduringweek6 JuarezevaluatesZduringweek1 RosenbergevaluatesFduringweek3. RosenbergevaluatesHduringweek2. RosenbergevaluatesXduringweek5