MATH100--PRACTICEEXAM2MillersvilleUniversity,Spring2011RonUmble,Instr.MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.ConverttheEgyptiannumeraltoHindu-Arabicform.1)A) 3067 B) 3670 C) 3607 D) 3671)PerformtheadditionorsubtractionandgiveyouranswerinHindu -Arabicform.2)A) 7599 B) 7509 C) 8599 D) 85092)ConverttheChinesenumeraltoHindu-Arabicform.3)A) 4090 B) 4900 C) 409 D) 4903)Sketchanabacustorepresentthegivennumber.4) 45,352A)B)4)Writethenumberinexpandedform.5) 2,732A) (2x103)+(7x102)+(3x101)+(2x100)B)(2x100)+(7x101)+(3x102)+(2x103)C) (2x104)+(7x103)+(3x102)+(2x101)D)(2x101)+(7x102)+(3x103)+(2x104)5)Solvetheproblem.6) Listthefirst10countingnumbersinbase9.A) 1,2,3,4,5,7,8,10,11 B) 1,2,3,4,5,6,7,8,10,11C) 1,2,4,5,7,8,A,B,C,DD)1,2,3,4,5,6,7,8,11,126)7) Write(inthesamebase)thecountingnumbersjustbeforeandjustafter13eight.A) 10eight,12eightB) 12eight,15eightC) Aeight,CeightD) 12eight,14eight7)18) Write(inthesamebase)thecountingnumbersjustbeforeandjustafter1044five.A) 1043five,1111fiveB) 1042five,1101fiveC) 1043five,1045fiveD) 1043five,1100five8)Convertthenumbertodecimalform.9) 544eightA) 104 B) 52 C) 356 D) 28489)Convertthedecimalnumbertothegivenbase.10) 2,874tobasesevenA) 11224sevenB) 11422sevenC) 11244sevenD) 11442seven10)Convertfrombinaryformtotheindicatedbase.11) 1011000010110000twotobasesixteenA) B0B0sixteenB) 1313sixteenC) 130260sixteenD) B00Asixteen11)Convertthenumbertobinaryform.12) 6BDsixteenA) 11010111011twoB) 10110101110twoC) 11010111101twoD) 10011011101two12)Determinethelettersornumbers.13) WritethebinarycodefortheletterR.A) 1010100 B) 1010010 C) 1100101 D) 100101013)14) TranslateʺMexicoʺintoanASCIIstringofbinarydigits.A) 100110101001011111000110100111000111101111B) 100110111001011111000110100111000111101111C) 100110111011011101000110100111000111110011D) 11011011100101101101110011100011111100110114)Findallnaturalnumberfactorsofthenumber.15) 110A) 2,5,10,11,55,110 B) 1,2,5,10,11,22,110C) 1,2,4,5,10,11,22,55,110 D) 1,2,5,10,11,22,55,11015)Givetheprimefactorizationofthenumber.Useexponentswhenpossible.16) 468A) 22·32·13 B) 34·13 C) 23·32·13 D) 24·1316)Determinewhetherthenumberisabundantordeficient.17) 36A) Abundant B) Deficient17)Writethenumberasthesumoftwoprimes.Theremaybemorethanonewaytodothis.18) 28A) 3+25,5+23,7+21 B) 14+14C) 5+23,11+17 D) 5+23,13+1518)2Findthegreatestcommonfactorofthenumbersinthegroup.19) 120,90A) 30 B) 6 C) 10 D) 1519)Findtheleastcommonmultipleofthenumbersinthegroup.20) 112,96A) 672 B) 1344 C) 224 D) 33620)Answerthequestion.21)Jackhas92hotdogsand76hotdogbuns.Hewantstoputthesamenumberofhotdogsandhotdogbunsoneachtray.WhatisthegreatestnumberoftraysJackcanusetoaccomplishthis?A) 46 B) 4 C) 2 D) 43721)SolvetheproblemrelatingtotheFibonaccisequence.22) F28=317,811,F30=832,040FindF29.A) F29=1,149,851 B) F29=514,229 C) F29=1,346,269 D) F29=196,41822)Solvetheproblem.23) Ashirtcompanyhas4designs,eachofwhichcanbemadewithshortorlongsleeves.Thereare 6colorpatternsavailable.Howmanydifferenttypesofshirtsareavailablefromthiscompany?A) 10types B) 24types C) 12 types D) 48types23)24) Howmanywayscanapresident,vice-president,secretary,andtreasurerbechosenfromaclubwith9members?Assumethatnomembercanholdmorethanoneoffice.A) 36 B) 126 C) 3024 D) 2424)25) Thereare13membersonaboardofdirectors.Iftheymustformasubcommitteeof 4members,howmanydifferentsubcommitteesarepossible?A) 28,561 B) 17,160 C) 24 D) 71525)26) Ofthe2,598,960differentfive-cardhandspossiblefromadeckof52playingcards,howmanywouldcontainallclubs?A) 3,861 B) 1,287 C) 2,574 D) 14326)27) AgroupoffiveentertainerswillbeselectedfromagroupoftwentyentertainersthatincludesSmallandTrout.InhowmanywayscouldthegroupoffiveincludeatleastoneoftheentertainersSmallandTrout?A) 11628ways B) 15,504ways C) 8568ways D) 6936ways27)28) Ifasinglecardisdrawnfromastandard52-carddeck,inhowmanywayscoulditbeanaceoraspade?A) 16ways B) 17ways C) 1way D) 4ways28)Findthenumberofwaystogetthefollowingcardcombinationsfroma52 -carddeck.29) TworedcardsandthreeblackcardsA) 1,267,500ways B) 422,500ways C) 1,690,000ways D) 845,000ways29)3Findtheprobability.30) Abagcontains13 ballsnumbered1through13.Whatistheprobabilitythatarandomlyselectedballhasanevennumber?A) 6 B)613C)213D)13630)31) Twofair6-sideddicearerolled.Whatistheprobabilitythatthesumofthetwonumbersonthediceisgreaterthan10?A)118B)112C)518D) 331)Solvetheproblem.32)Whataretheoddsagainstdrawinganumbergreaterthan2fromthesecards?A) 2:5 B) 3:2 C) 2:3 D)
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