prep practiceTest1PS 196.docx
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prep practiceTest1PS 196.docx
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preppracticeTest1PS196
PracticeTest#1ProblemSolving
(196Questions)
1.409-!
-item-!
-187;#058&000306
Agrocerystorepurchasedcratesof40orangeseachfor$5.00percrateandthensoldeachorangefor$0.20.Whatwasthestore'sgrossprofitoneachcrateoforanges?
(A)$3.00
(B)$6.00
(C)$8.00
(D)$10.00
(E)$13.00
2.455-!
-item-!
-187;#058&000316
TheproductPoftwoprimenumbersisbetween9and55.Ifoneoftheprimenumbersisgreaterthan2butlessthan6andtheotherisgreaterthan13butlessthan25,thenP=
(A)15
(B)33
(C)34
(D)46
(E)51
3.664-!
-item-!
-187;#058&000504
Acertaintaxicompanycharges$3.10forthefirst[?
]ofamileplus$0.40foreachadditionalofamile.Whatwouldthiscompanychargeforataxiridethatwas8mileslong?
(A)$15.60
(B)$16.00
(C)$17.50
(D)$18.70
(E)$19.10
4.765-!
-item-!
-187;#058&000550
Inastackofboardsatalumberyard,the20thboardcountingfromthetopofthestackisimmediatelybelowthe16thboardcountingfromthebottomofthestack.Howmanyboardsareinthestack?
(A)38
(B)36
(C)35
(D)34
(E)32
5.812-!
-item-!
-187;#058&000553
If
thenm=
(A)17
(B)18
(C)34
(D)35
(E)36
6.859-!
-item-!
-187;#058&000568
Thevalueof
isclosesttowhichofthefollowing?
(A)1
(B)10
(C)102
(D)103
(E)104
7.905-!
-item-!
-187;#058&000575
Foreverypositiveevenintegern,thefunctionh(n)isdefinedtobetheproductofalltheevenintegersfrom2ton,inclusive.Ifpisthesmallestprimefactorofh(100)+1,thenpis
(A)between2and10
(B)between10and20
(C)between20and30
(D)between30and40
(E)greaterthan40
8.1221-!
-item-!
-187;#058&000650
Aflowerarrangementconsistsof30roses,eachofwhichiseitherwhiteorred.Ifaroseistobeselectedatrandomfromtheflowerarrangement,theprobabilitythattheroseselectedwillbewhiteistwicetheprobabilitythatitwillbered.Howmanywhiterosesareintheflowerarrangement?
(A)5
(B)10
(C)15
(D)20
(E)25
9.1700-!
-item-!
-187;#058&001066
Lastyeartherangeoftheannualsalariesofthe100employeesatCompanyXwas$30,000.Iftheannualsalaryofeachofthe100employeesthisyearis10percentgreaterthanitwaslastyear,whatistherangeoftheannualsalariesofthe100employeesthisyear?
(A)$27,000
(B)$30,000
(C)$33,000
(D)$36,000
(E)$63,000
10.1746-!
-item-!
-187;#058&002343
Ifa=7andb=-7,whatisthevalueof2a-2b+b^2?
(A)-49
(B)21
(C)49
(D)63
(E)77
11.1799-!
-item-!
-187;#058&002415
[?
]
Inthefigureabove,theradiusofthecirclewithcenterOis1andBC=1.WhatistheareaoftriangularregionABC?
(A)
(B)
(C)1
(D)
(E)
12.1845-!
-item-!
-187;#058&002416
Lastyearacertainbondwithafacevalueof$5,000yielded8percentofitsfacevalueininterest.Ifthatinterestwasapproximately6.5percentofthebond'ssellingprice,approximatelywhatwasthebond'ssellingprice?
(A)$4,063
(B)$5,325
(C)$5,351
(D)$6,000
(E)$6,154
13.1898-!
-item-!
-187;#058&002486
[?
]
Ifmliesbetweentheintegerspandsonthenumberlineshown,whichofthefollowingisapossiblevalueform?
(A)
(B)
(C)2.9
(D)
(E)
14.1999-!
-item-!
-187;#058&002494
[?
]
(A)3
(B)6
(C)9
(D)12
(E)18
15.2160-!
-item-!
-187;#058&002594
Ataspeedof50milesperhour,acertaincaruses1gallonofgasolineevery30miles.Ifthecarstartswithafull12gallontankofgasolineandtravelsfor5hoursat50milesperhour,theamountofgasolineusedwouldbewhatfractionofafulltank?
(A)
(B)
(C)
(D)
(E)
16.2206-!
-item-!
-187;#058&002619
When[?
]ofthegarmentsinashipmentwereinspected,18ofthegarmentspassedinspectionandtheremaining2garmentsfailed.Howmanyoftheuninspectedgarmentsmustpassinspectioninorderthat90percentofthegarmentsintheshipmentpass?
(A)10
(B)9
(C)8
(D)7
(E)5
17.2311-!
-item-!
-187;#058&002635
Inacertainboardgame,astackof48cards,8ofwhichrepresentsharesofstock,areshuffledandthenplacedfacedown.Ifthefirst2cardsselecteddonotrepresentsharesofstock,whatistheprobabilitythatthethirdcardselectedwillrepresentashareofstock?
(A)
(B)
(C)
(D)
(E)
18.2417-!
-item-!
-187;#058&002747
3teaspoons=1tablespoon
4tablespoons=[?
]cup
Accordingtotheinformationabove,howmanyteaspoonsareequalto[?
]cup?
(A)3
(B)4
(C)9
(D)12
(E)18
19.2463-!
-item-!
-187;#058&002761
Forafinitesequenceofnonzeronumbers,thenumberofvariationsinsignisdefinedasthenumberofpairsofconsecutivetermsofthesequenceforwhichtheproductofthetwoconsecutivetermsisnegative.Whatisthenumberofvariationsinsignforthesequence1,-3,2,5,-4,-6?
(A)One
(B)Two
(C)Three
(D)Four
(E)Five
20.2563-!
-item-!
-187;#058&002787
IttakesCarlos9minutestodrivefromhometoworkatanaveragerateof22milesperhour.HowmanyminuteswillittakeCarlostocyclefromhometoworkalongthesamerouteatanaveragerateof6milesperhour?
(A)26
(B)33
(C)36
(D)44
(E)48
21.2609-!
-item-!
-187;#058&002849
Ifa=1andb=-2,then(2a^2+b)(x+y)+(a+b)(x-y)=
(A)0
(B)2x
(C)y-x
(D)x-y
(E)x+y
22.2710-!
-item-!
-187;#058&002886
TheformulaF=9C/5+32givestherelationshipbetweenthetemperatureindegreesFahrenheit,F,andthetemperaturegivenindegreesCelsius,C.Ifthetemperatureis85degreesFahrenheit,whatisthetemperature,tothenearestdegree,indegreesCelsius?
(A)18
(B)23
(C)29
(D)47
(E)51
23.2976-!
-item-!
-187;#058&003069
[?
]
Forthe5daysshowninthegraph,howmanykilowatt-hoursgreaterwasthemediandailyelectricityusethantheaverage(arithmeticmean)dailyelectricityuse?
(A)1
(B)2
(C)3
(D)4
(E)5
24.3022-!
-item-!
-187;#058&003084
Inacertaingame,theunitsofcurrencyofthreecountriesarethecrown,theshield,andthepound,respectively.If2crownsequal3shieldsand3shieldsequal4pounds,howmanycrownsequal18pounds?
(A)9
(B)16
(C)18
(D)32
(E)36
25.3236-!
-item-!
-187;#058&003282
Ifa>b>0,then
(A)
(B)
(C)
(D)
(E)
26.3282-!
-item-!
-187;#058&003293
Thereare10childreninacompany'sday-carecenter,andapairofchildrenistobeselectedtoplayagame.Atmost,howmanydifferentpairsarepossible?
(A)100
(B)90
(C)50
(D)45
(E)25
27.3330-!
-item-!
-187;#058&003295
38,69,22,73,31,47,13,82
Whichofthefollowingnumbersisgreaterthanthree-fourthsofthenumbersbutlessthanone-fourthofthenumbersinthelistabove?
(A)56
(B)68
(C)69
(D)71
(E)73
28.3377-!
-item-!
-187;#058&003297
Ifxy=1,whatisthevalueof2^[(x+y)^2]/2^[(x-y)^2]?
(A)2
(B)4
(C)8
(D)16
(E)32
29.3426-!
-item-!
-187;#058&003323
[?
]
Thevalueoftheexpressionaboveisclosesttowhichofthefollowing?
(A)0.0001
(B)0.001
(C)0.1
(D)1
(E)10
30.3528-!
-item-!
-187;#058&003455
Afurnituredealerpurchasedadeskfor$150andthensetthesellingpriceequaltothepurchasepriceplusamarkupthatwas
40percentofthesellingprice.Ifthedealersoldthedeskatthesellingprice,whatwastheamountofthedealer'sgrossprofitfromthepurchaseandthesaleofthedesk?
(A)$40
(B)$60
(C)$80
(D)$90
(E)$100
31.4014-!
-item-!
-187;#058&003590
[?
]
ThecircleshownhascenterOandradius4.Whatistheareaoftheshadedregion?
(A)
(B)
(C)
(D)
(E)
32.4438-!
-item-!
-187;#058&003962
Atacertainuniversity,theratioofthenumberofteachingassistantstothenumberofstudentsinanycoursemustalwaysbegreaterthan3:
80.Atthisuniversity,whatisthemaximumnumberofstudentspossibleinacoursethathas5teachingassistants?
(A)130
(B)131
(C)132
(D)133
(E)134
33.4484-!
-item-!
-187;#058&004004
Ifx^4+y^4=100,thenthegreatestpossiblevalueofxisbetween
(A)0and3
(B)3and6
(C)6and9
(D)9and12
(E)12and15
34.4586-!
-item-!
-187;#058&004030
Ofthefollowing,whichisleast?
(A)
(B)(0.2)2
(C)0.02
(D)
(E)0.2
35.4632-!
-item-!
-187;#058&004107
Whatisthesumofthedifferentpositiveprimefactorsof550?
(A)10
(B)11
(C)15
(D)16
(E)18
36.4841-!
-item-!
-187;#058&004235
Inacertaindeckofcards,eachcardhasapositiveintegerwrittenonit.Inamultiplicationgame,achilddrawsacardandmultipliestheintegeronthecardbythenextlargerinteger.Ifeachpossibleproductisbetween15and200,thentheleastandgreatestintegersonthecardscouldbe
(A)3and15
(B)3and20
(C)4and13
(D)4and14
(E)5and14
37.5000-!
-item-!
-187;#058&004365
Foreveryintegerkfrom1to10,inclusive,thekthtermofacertainsequenceisgivenby[?
].IfTisthesumofthefirst10termsinthesequence,thenTis
(A)greaterthan2
(B)between1and2
(C)
(D)
(E)
38.5102-!
-item-!
-187;#058&004451
Threegradesofmilkare1percent,2percent,and3percentfatbyvolume.Ifxgallonsofthe1percentgrade,ygallonsofthe2percentgrade,andzgallonsofthe3percentgradearemixedtogivex+y+zgallonsofa1.5percentgrade,whatisxintermsofyandz?
(A)y+3z
(B)
(C)2y+3z
(D)3y+z
(E)
39.5583-!
-item-!
-187;#058&004668
Acertainstockexchangedesignateseachstockwithaone-,two-,orthree-lettercode,whereeachletterisselectedfromthe
26lettersofthealphabet.Ifthelettersmayberepeatedandifthesamelettersusedinadifferentorderconstituteadifferentcode,howmanydifferentstocksisitpossibletouniquelydesignatewiththesecodes?
(A)2,951
(B)8,125
(C)15,600
(D)16,302
(E)18,278
40.5629-!
-item-!
-187;#058&004684
Sixmachines,eachworkingatthesameconstantrate,togethercancompleteacertainjobin12days.Howmanyadditionalmachi
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