GWD31MATH7.docx

GWD31MATH7.docx

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GWD31MATH7

MathSection

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Q1:

Astudent’saverage（arithmeticmean）testscoreon4testsis78.Whatmustbethestudent’sscoreona5thtestforthestudent’saveragescoreonthe5teststobe80?

A.80

B.82

C.84

D.86

E.88

Answer:

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Q2:

If2differentrepresentativesaretobeselectedatrandomfromagroupof10employeesandifpistheprobabilitythatbothrepresentativesselectedwillbewomen,isp>

?

（1）Morethan

ofthe10employeesarewomen.

（2）Theprobabilitythatbothrepresentativesselectedwillbemenislessthan

.

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.

Answer:

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Q3:

MaterialAcosts$3perkilogram,andmaterialBcosts$5perkilogram.If10kilogramsofmaterialKconsistsofxkilogramsofmaterialAandykilogramsofmaterialB,isx>y?

（1）y>4

（2）Thecostofthe10kilogramsofmaterialKislessthan$40.

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.

Answer:

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Q4:

Forarecentplayperformance,theticketpriceswere$25peradultand$15perchild.Atotalof500ticketsweresoldfortheperformance.Howmanyoftheticketssoldwereforadults?

（1）Revenuefromticketsalesforthisperformancetotaled$10,500.

（2）Theaverage（arithmeticmean）priceperticketsoldwas$21.

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.

Answer:

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Q5:

Fromagroupof3boysand3girls,4childrenaretoberandomlyselected.Whatistheprobabilitythatequalnumbersofboysandgirlswillbeselected?

A.

B.

C.

D.

E.

Answer:

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Q6:

Acertaincompanyassignsemployeestoofficesinsuchawaythatsomeoftheofficescanbeemptyandmorethanoneemployeecanbeassignedtoanoffice.Inhowmanywayscanthecompanyassign3employeesto2differentoffices?

A.5

B.6

C.7

D.8

E.9

Answer:

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Q7:

√[2√63+2/（8+3√7）]=

A.8+3√7

B.4+3√7

C.8

D.4

E.√7

Answer:

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Q8:

Theinfinitesequencea1,a2,…,an,…issuchthata1=2,a2=-3,a3=5,a4=-1,andan=an-4forn>4.Whatisthesumofthefirst97termsofthesequence?

A.72

B.74

C.75

D.78

E.80

Answer:

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Q9:

Ifxandyarepositiveintegersand1+x+y+xy=15,whatisthevalueofx+y?

A.3

B.5

C.6

D.8

E.9

Answer:

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Q10:

IfAnnsavesxdollarseachweekandBethsavesydollarseachweek,whatisthetotalamountthattheysaveperweek?

（1）Bethsaves$5moreperweekthanAnnsavesperweek.

（2）IttakesAnn6weekstosavethesameamountthatBethsavesin5weeks.

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.

Answer:

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Q11:

Ifxisapositiveinteger,istheremainder0when3x+1isdividedby10?

（1）x=4n+2,wherenisapositiveinteger.

（2）x>4

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.

Answer:

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Q12:

Ifr,s,andwarepositivenumberssuchthatw=60r+80sandr+s=1,isw<70?

（1）r>0.5

（2）r>s

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.

Answer:

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Q13:

Whatisthevalueoftheintegern?

（1）n（n+2）=15

（2）（n+2）n=125

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.

Answer:

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Q14:

Ifacodewordisdefinedtobeasequenceofdifferentletterschosenfromthe10lettersA,B,C,D,E,F,G,H,I,andJ,whatistheratioofthenumberof5-lettercodewordstothenumberof4-lettercodewords?

A.5to4

B.3to2

C.2to1

D.5to1

E.6to1

Answer:

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Q15:

Whichofthefollowingfractionshasadecimalequivalentthatisaterminatingdecimal?

A.

B.

C.

D.

E.

Answer:

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Q16:

Foranyintegerkgreaterthan1,thesymbolk*denotestheproductofallthefractionsoftheform

wheretisanintegerbetween1andk,inclusive.Whatisthevalueof

?

A.5

B.

C.

D.

E.

Answer:

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Q17:

CompanySproducestwokindsofstereos:

basicanddeluxe.OfthestereosproducedbyCompanySlastmonth,

werebasicandtherestweredeluxe.Ifittakes

asmanyhourstoproduceadeluxestereoasitdoestoproduceabasicstereo,thenthenumberofhoursittooktoproducethedeluxestereoslastmonthwaswhatfractionofthetotalnumberofhoursittooktoproduceallthestereos?

A.

B.

C.

D.

E.

Answer:

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Q18:

Acertainmachineproduces1,000unitsofproductPperhour.Workingcontinuouslyatthisconstantrate,thismachinewillproducehowmanyunitsofproductPin7days?

A.7,000

B.24,000

C.40,000

D.100,000

E.168,000

Answer:

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Q19:

If5x–5x-3=（124）（5y）,whatisyintermsofx?

A.

B.x-6

C.x-3

D.2x+3

E.2x+6

Answer:

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Q20:

Lineskandmareparalleltoeachother.Istheslopeoflinekpositive?

（1）Linekpassesthroughthepoint（3,2）.

（2）Linempassesthroughthepoint（-3,2）.

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.

Answer:

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Q21:

TheaterMhas25rowswith27seatsineachrow.Howmanyoftheseatswereoccupiedduringacertainshow?

（1）Duringtheshow,therewasanaverage（arithmeticmean）of10unoccupiedseatsperrowforthefront20rows.

（2）Duringtheshow,therewasanaverage（arithmeticmean）of20unoccupiedseatsperrowfortheback15rows.

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHsta