GMAT考试PREPMATHPS2完整详解版V10.docx

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GMAT考试PREPMATHPS2完整详解版V10.docx

GMAT考试PREPMATHPS2完整详解版V10

 

PP-ProblemSolving2(PS2)

完整詳解版

V1.0

 

作者:

yuma168

larry.tw

HuangHsin-Yi

Penda

Engedi

mauricew

pauline_chiou

william0625

abc123

ruru.lu

 

備註:

本版權內容歸作者和

論壇共有,嚴禁任何未經允許的商業使用。

RevisedHistory

由於這是眾人一起完成的,難免會有疏失,希望大家可以一起修正錯誤,讓這份詳解變得更完整!

版本增加規則如下:

1)修正算式錯誤or提出更好的算法,請把版本小數+1(Ex:

V1.0->V1.1)

2)增加or補齊題目,請把版本個位數+1(Ex:

V2.0->V3.0)

版本

修正內容(請標題號)

作者

日期

V1.0

新增全部詳解(Q1~Q197)

yuma168

larry.tw

HuangHsin-YiPenda

Engedi

mauricew

pauline_chiou

william0625

abc123

ruru.lu

2008/7/17

 

PracticeTest#2ProblemSolving

(197Questions)

1.246-!

-item-!

-187;#058&000117

Tanyaprepared4differentletterstobesentto4differentaddresses.Foreachletter,shepreparedanenvelopewithitscorrectaddress.Ifthe4lettersaretobeputintothe4envelopesatrandom,whatistheprobabilitythatonly1letterwillbeputintotheenvelopewithitscorrectaddress?

(A)

(B)

(C)

(D)

(E)

2.509-!

-item-!

-187;#058&000281

Foreveryorder,acertainmail-ordercompanychargesashippingfeeof$3plusanadditional$2ifthevalueoftheorderisover$50butnotover$100oranadditional$3ifthevalueoftheorderisover$100.Howmuchgreaterarethetotalshippingfeesfor2ordersof$75eachthanthetotalshippingfeefor1orderof$150?

(A)$1

(B)$2

(C)$3

(D)$4

(E)$5

------------------------------------------------------------------------------------------------------------------------------------

【答案】D

【思路】

2ordersof$75each:

每件價值都75,所以要額外費用2元,且又兩件,2(3+2)=10

1orderof$150:

1(3+3)=6

依照題意相減可得4

------------------------------------------------------------------------------------------------------------------------------------

3.827-!

-item-!

-187;#058&000411

Acopyservicecharges$0.05percopyforthefirst100copies,$0.04percopyforthenext100copies,and$0.03percopyforallcopiesthereafter.Whatwouldthecopyservicechargefor350copies?

(A)$10.50

(B)$11.50

(C)$12.00

(D)$13.00

(E)$13.50

------------------------------------------------------------------------------------------------------------------------------------

【答案】E

【思路】

------------------------------------------------------------------------------------------------------------------------------------

4.1197-!

-item-!

-187;#058&000782

Ifw,x,andyareconsecutiveoddpositiveintegersandw

(A)-4

(B)-2

(C)-1

(D)0

(E)3

------------------------------------------------------------------------------------------------------------------------------------

【答案】C

【思路】首先判斷 奇數-奇數-奇數=奇數,可排除答案只剩(C)(E)

代數字3577-5-3=-1

-1133-1-(-1)=3(可是題目說要正整數,所以-1不行)

------------------------------------------------------------------------------------------------------------------------------------

5.1353-!

-item-!

-187;#058&000886

Workingaloneatitsownconstantrate,amachinesealskcartonsin8hours,andworkingaloneatitsownconstantrate,asecondmachinesealskcartonsin4hours.Ifthetwomachines,eachworkingatitsownconstantrateandforthesameperiodoftime,togethersealedacertainnumberofcartons,whatpercentofthecartonsweresealedbythemachineworkingatthefasterrate?

(A)25%

(B)

(C)50%

(D)

(E)75%

6.1456-!

-item-!

-187;#058&000991

[?

]

Ifw,x,y,andzarenumbersonthenumberlineshown,whichofthefollowingproductsisleast?

(A)wy

(B)wz

(C)xy

(D)xz

(E)yz

7.1502-!

-item-!

-187;#058&001086

Acertaintelephonecompanyofferstwoplans,AandB.UnderplanA,thecompanychargesatotalof$0.60forthefirst7minutesofeachcalland$0.06perminutethereafter.UnderplanB,thecompanycharges$0.08perminuteofeachcall.Whatisthedurationofacall,inminutes,forwhichthecompanychargesthesameamountunderplanAandunderplanB?

(A)2

(B)9

(C)15

(D)21

(E)30

------------------------------------------------------------------------------------------------------------------------------------

【答案】B

【思路】設t為時間

ForA:

Charges=0.6+0.06(t-7)

ForB:

Charges=0.08t

依照題意charges相同0.6+0.06(t-7)=0.08t

0.02t=0.6-0.42=0.18

t=0.18/0.02=9min

------------------------------------------------------------------------------------------------------------------------------------

8.1608-!

-item-!

-187;#058&001224

Inthexy-plane,eachpointoncircleKhasnonnegativecoordinatesandthecenterofKisthepoint(4,7).WhatisthemaximumpossibleareaofK?

(A)

(B)

(C)

(D)

(E)

9.1662-!

-item-!

-187;#058&002391

Equalamountsofwaterwerepouredintotwoemptyjarsofdifferentcapacities,whichmadeonejarfullandtheotherjarfull.Ifthewaterinthejarwiththelessercapacityisthenpouredintothejarwiththegreatercapacity,whatfractionofthelargerjarwillbefilledwithwater?

(A)

(B)

(C)

(D)

(E)

10.1708-!

-item-!

-187;#058&002411

Apairofshoesisonsalefor$60.Ifthispriceis20percentlessthantheregularpriceoftheshoes,whatistheregularpriceoftheshoes?

(A)$72

(B)$75

(C)$80

(D)$96

(E)$108

------------------------------------------------------------------------------------------------------------------------------------

【答案】B

【思路】60/0.8=75

------------------------------------------------------------------------------------------------------------------------------------

11.1971-!

-item-!

-187;#058&002527

Whichofthefollowingliststhenumberofpointsatwhichacirclecanintersectatriangle?

(A)2and6only

(B)2,4,and6only

(C)1,2,3,and6only

(D)1,2,3,4,and6only

(E)1,2,3,4,5,and6

------------------------------------------------------------------------------------------------------------------------------------

【答案】E

【思路】

一個圓至多可以跟三角形有幾個交點

畫畫看6個==>E

------------------------------------------------------------------------------------------------------------------------------------

12.2238-!

-item-!

-187;#058&002618

[?

]

Ifthetworegionsabovehavethesamearea,whatistheratiot:

s?

(A)2:

3

(B)16:

3

(C)

(D)

(E)

13.2392-!

-item-!

-187;#058&002762

[?

]:

linemissed

(A)Acertainlistof100datahasanaverage(arithmeticmean)of6andastandarddeviationofd,wheredispositive.Whichofthefollowingpairsofdata,whenaddedtothelist,mustresultinalistof102datawithstandarddeviationlessthand?

(B)0and0

(C)0and6

(D)0and12

(E)6and6

14.2546-!

-item-!

-187;#058&002908

IfSallydrivesataconstantspeedof50milesperhour,howmanyminuteswillberequiredforhertodrive10miles?

(A)9

(B)10

(C)11

(D)12

(E)13

------------------------------------------------------------------------------------------------------------------------------------

【答案】D

【思路】距離/速度=時間

10/50=0.2(hr)=12(mins)

------------------------------------------------------------------------------------------------------------------------------------

15.2647-!

-item-!

-187;#058&002944

Ifa=1and[?

],whichofthefollowingisNOTapossiblevalueofb?

(A)-2

(B)-1

(C)0

(D)1

(E)2

16.2698-!

-item-!

-187;#058&002953

[?

]

Allpoints(x,y)thatliebelowthelinel,shownabove,satisfywhichofthefollowinginequalities?

(A)y<2x+3

(B)y<-2x+3

(C)y<-x+3

(D)

(E)

17.2747-!

-item-!

-187;#058&002959

[?

]

Onthenumberlineabove,whatisthelengthofsegmentAB?

(A)2.2

(B)0.38

(C)0.22

(D)0.038

(E)0.022

18.2793-!

-item-!

-187;#058&002984

Afterafishermansold[?

]ofthefishhehadcaughtandgaveaway[?

]oftheremainingfish,hehad4fishleft.Whatwasthetotalnumberoffishhehadcaught?

(A)8

(B)16

(C)20

(D)32

(E)40

19.2896-!

-item-!

-187;#058&003100

[?

]

Foreachcountrylistedintheleftcolumnofthetable,thenumberintherightcolumngivesthenumberofunitsofCountryXcurrencythatisequivalentto1unitofthecountry'scurrency.WhichofthefollowingisequivalenttothegreatestnumberofunitsofCountryXcurrency?

(A)4unitsofCountryAcurrency

(B)25unitsofCountryBcurrency

(C)98unitsofCountryCcurrency

(D)3unitsofCountryDcurrency

(E)7unitsofCountryEcurrency

20.2942-!

-item-!

-187;#058&003104

Foranypositiveintegern,thelengthofnisdefinedasthenumberofprimefactorswhoseproductisn.Forexample,thelengthof75is3,since75=3?

?

5?

?

5.Howmanytwo-digitpositiveintegershavelength6?

(A)None

(B)One

(C)Two

(D)Three

(E)Four

21.2988-!

-item-!

-187;#058&003110

Acompanywantstobuycomputersandprintersforanewbranchoffice,andthenumberofcomputerscanbeatmost3timesthenumberofprinters.Computerscost$1,500each,andprinterscost$300each.Whatisthegreatestnumberofcomputersthatthecompanycanbuyifithasatotalof$9,100tospendoncomputersandprinters?

(A)2

(B)3

(C)4

(D)5

(E)6

------------------------------------------------------------------------------------------------------------------------------------

【答案】D

【思路】

C=3P

1500C+300P

9100

1600C

9100

C

5.多所以最多可買5台computers

------------------------------------------------------------------------------------------------------------------------------------

22.3254-!

-item-!

-187;#058&003229

If[?

],thenNisbetween

(A)0and

(B)and

(C)and

(D)and

(E)and2

23.3470-!

-item-!

-187;#058&003305

240,120,60,30,...

Inthesequenceabove,eachtermafterthefirstis½oftheprecedingterm.Whatistheleasttermofthesequencethatisgreaterthan1?

(A)

(B)

(C)

(D)

(E)

24.3573-!

-item

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