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Ifacertainmachineproducesboltsataconstantrate,howmanysecondswillittakethemachinetoproduce300bolts?
(1)Ittakesthemachine56secondstoproduce40bolts.
(2)Ittakesthemachine1.4secondstoproduce1bolt.
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.
Q3:
Ifk,m,andpareintegers,isk–m–podd?
(1)kandmareevenandpisodd.
(2)k,m,andpareconsecutiveintegers.
Q4:
Ifxistheproductofthepositiveintegersfrom1to8,inclusive,andifi,k,m,andparepositiveintegerssuchthatx=2i3k5m7p,theni+k+m+p=
A.4
B.7
C.8
D.11
E.12
Q5:
Ifacodewordisdefinedtobeasequenceofdifferentletterschosenfromthe10lettersA,B,C,D,E,F,G,H,I,andJ,whatistheratioofthenumberof5-lettercodewordstothenumberof4-lettercodewords?
A.5to4
B.3to2
C.2to1
D.5to1
E.6to1
Q6:
Iftwocopyingmachinesworksimultaneouslyattheirrespectiveconstantrates,howmanycopiesdotheyproducein5minutes?
(1)Oneofthemachinesproducescopiesattheconstantrateof250copiesperminute.
(2)Oneofthemachinesproducescopiesattwicetheconstantrateoftheothermachine.
Q7:
Isxy>
x2y2?
(1)14x2=3
(2)y2=1
Q8:
R
P
Q
Forthecubeshownabove,whatisthedegreemeasureof
PQR?
A.30
B.45
C.60
D.75
E.90
Q9:
Ifanintegernistobechosenatrandomfromtheintegers1to96,inclusive,whatistheprobabilitythatn(n+1)(n+2)willbedivisibleby8?
A.
B.
C.
D.
E.
Q10:
Atotalof$60,000wasinvestedforoneyear.Partofthisamountearnedsimpleannualinterestattherateofxpercentperyear,andtherestearnedsimpleannualinterestattherateofypercentperyear.Ifthetotalinterestearnedbythe$60,000forthatyearwas$4,080,whatisthevalueofx?
(1)x=
(2)Theratiooftheamountthatearnedinterestattherateofxpercentperyeartotheamountthatearnedinterestattherateofypercentperyearwas3to2.
Q11:
Ifnandkarepositiveintegers,isndivisibleby6?
(1)n=k(k+1)(k-1)
(2)k–1isamultipleof3.
Q12:
Whatwasthecostofacertaintelephonecall?
(1)Thecalllasted8minutes.
(2)Thecostofthefirstminuteofthecallwas$0.32,whichwastwicethecostofeachminuteofthecallafterthefirst.
Q13:
CompanySproducestwokindsofstereos:
basicanddeluxe.OfthestereosproducedbyCompanySlastmonth,
werebasicandtherestweredeluxe.Ifittakes
asmanyhourstoproduceadeluxestereoasitdoestoproduceabasicstereo,thenthenumberofhoursittooktoproducethedeluxestereoslastmonthwaswhatfractionofthetotalnumberofhoursittooktoproduceallthestereos?
Q14:
99,9992-12=
A.1010-2
B.(105–2)2
C.104(105–2)
D.105(104–2)
E.105(105–2)
Q15:
Isx2+y2>
6?
(1)(x+y)2>
6
(2)xy=2
Q16:
Whatistheprobabilitythatastudentrandomlyselectedfromaclassof60studentswillbeamalewhohasbrownhair?
(1)One-halfofthestudentshavebrownhair.
(2)One-thirdofthestudentsaremales.
Q17:
Thenumberofdefectsinthefirstfivecarstocomethroughanewproductionlineare9,7,10,4,and6,respectively.Ifthesixthcarthroughtheproductionlinehaseither3,7,or12defects,forwhichofthesesvaluesdoesthemeannumberofdefectspercarforthefirstsixcarsequalthemedian?
I.3
II.7
III.12
A.Ionly
B.IIonly
C.IIIonly
D.IandIIIonly
E.I,II,andIII
Answer:
Q18:
Whichofthefollowingisequalto(2k)(5k−1)?
A.2(10k−1)
B.5(10k−1)
C.10k
D.2(10k)
E.102k−1
Q19:
If
=25,thenx3–x2=
A.512
B.520
C.6(55)
D.54(52+1)
E.58(54−1)
Q20:
yº
xº
zº
Intheparallelogramshown,whatisthevalueofx?
(1)y=2x
(2)x+z=120
D.EACHstatement