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1、（1）p3st=728（2）t=13 Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（2）T

2、OGETHER are NOT sufficient Answer-3 in a certain game played with red chips and blue chips,each red chip has a point value of X and each blue chip has a point value of Y,where XY and X and Y are positive integers.If a player has 5 red chips and 3 blue chips,what is the average（arithmetic mean）point

3、value of the 8 chips that the player has?（1）The average point value of one red chip and one blue chip is 5.（2）The average point value of the 8 chips that the player has is an integer.-Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statemen

4、t（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-4 A shipment of 8 television sets contains 2 black-and-white sets and 6color sets.If 2 television set

5、s are to be chosen at random from this shipment,what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?A.1/7 B.C.5/14 D.11/28 E.13/26 Answer:-5 The tens digit of positive integer X is 3.Is the units digit of X greater than 4?（1）The units digit of 2X is less than t

6、he units digit of X.（2）The tens digit of 2X is 7.-Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is

7、sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-6|-4|（|-20|-|5|）=A.100 B.60 C.60 D.75 E.100 Answer-7 What is the maximum integer value of M for which 12!/2M is an integer?A.2 B.4 C.6 D.10 E.12 Answer-8 Can a certain rectangular sheet of glass be positioned on a rectangular tabletop

8、so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop?（1）The tabletop is 36 inches wide by 60 inches long.（2）The area of one side of the sheet of glass is 2400 square inches.Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）AL

9、ONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-9 The operation*represents either addition,subtraction,or multiplicatio

10、n of integers,what is the value of 1*0?（1）0*2=2 （2）2*0=2 Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement AL

11、ONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-10 If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams,how many games will be played?A.144 B.132 C.66 D.33 E.23 Answer-11 An equilateral triangle that has an area of

12、9 31/2 is inscribed in a circle.What is the area of the circle?A.6pi B.9pi C.12 pi D.9pi 31/2 E.18pi 31/2 Answer-12 During a 10-week summer vacation,was the average（arithmetic mean）number of books that Carolyn read per week greater than the average number of books that Jacob read per week?（1）Twice t

13、he average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week.（2）During the last 5 weeks of the vacation,Carolyn read a total of 3 books more than Jacob.Statement（1）ALONE is sufficient,but statement（2）alone is not suffic

14、ient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-13 If X,Y,and Z are positive integers,is YX?（1）Y2=XZ

15、 （2）Z-X0 Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER ar

16、e NOT sufficient Answer-14 Of the families in City X in 1994,40 percent owned a personal computer.The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994,and the total number of families in City X was 4 percent greater in 1998 than it was in 1994.what pe

17、rcent of the families in City X owned a personal computer in 1998?A.50%B.52%C.56%D.70%E.74%answer-15 Which of the following expressions can be written as an integer?（1）（821/2+821/2）2（2）（82）（821/2）（3）（821/2）（821/2）82 A.None B.（1）only C.（3）only D.（1）and（2）E.（1）and（3）answer-16 From May 1 to May 30 in t

18、he same year,the balance in a checking account increased.What was the balance in the checking account on May 30?（1）If,during this period of time,the increase in the balance in the checking account had been 12 percent,then the balance in the account on May 30 would have been$504（2）During this period

19、of time,the increase in the balance in the checking account was 8 percent.Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.

20、EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-17 If N is positive,which of the following is equal to 1（n+1）1/2-n1/2 A.1 B.（2n+1）1/2 C.（n+1）1/2 n1/2 D.（n+1）1/2-n1/2 E.（n+1）1/2+n1/2 Answer-18 The annual interest rate earned by an investment increased by 10 pe

21、rcent from last year to this year.If the annual interest rate earned by the investment this year was 1 percent,what was the annual interest rate last year?A.1%B.1.1%C.9.1%D.10%E.10.8%Answer-19 Color X ink is created by blending red,blue,green,and yellow inks in the ratio 6:5:2:2.what is the number o

22、f liters of green ink that was used to create a certain batch of color X ink?（1）The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.（2）The batch consists of 30 liters of color X ink.Statement（1）ALONE is sufficient,but statement（2）alone

23、 is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-20 Of the 32 students in a certain cla

24、ss,15 are in a music club and 20 are in a dance club.If 10 of the students are not in either club,how many of the students are in only one of the two clubs?A.5 B.9 C.10 D.17 E.25 Answer-21 If P and R are positive,is 25 percent of P equal to 10 percent of R?（1）R is 150 percent greater than P（2）P is 6

25、0 percent less than R.Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（

26、2）TOGETHER are NOT sufficient Answer-22 If X2+Y2=1,is X+Y=1?（1）XY=0 （2）Y=0 Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient

27、.EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-23 If AB=A2+B2 for all real numbers A and B.then（AB）C=A.A2+B2+C2 B.2A2+2B2+C2 C.A4+B4+C2 D.A4+B4+2A2B2+C2 Answer-24 Each week John earns X dollars per hour for the first 40 hours that he works that week and Y d

28、ollars for each additional hour.How much does John earn per hour for the first 40 hours?（1）Y=15X （2）If John works 45 hours in a week,he earns a total of$570 that week.Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statement（1）alone is not

29、sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-25 Machine A,operating alone at its constant rate,produces 500 feet of a particular fiber in 2 hours.Machine B,operati

30、ng alone at its constant rate,produces 500 feet of the same fiber in 3 hours.Machine C,operating alone at its constant rate.Produces 500 feet of the same fiber in 5 hours.How many hours will it take machines A.B,and C,operating together at their respective constant rates,to produce 1000 feet of the

31、fiber?A.60/31 B.15/7 C.25/11 D.10/2 E.20/3 Answer-26 Does the decimal equivalent of P/Q,where P and Q are positive integers,contain only a finite number of nonzero digits?（1）PQ （2）Q=8 Statement（1）ALONE is sufficient,but statement（2）alone is not sufficient Statement（2）ALONE is sufficient,but statemen

32、t（1）alone is not sufficient BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient Statements（1）and（2）TOGETHER are NOT sufficient Answer-27 （1/2）（-2）（2）（-2）A.16 B.8 C.4 D.1/8 E.1/16 Answer-28 If k=-1,which of the following is（are）true?1.kk=k 2.|k|=-k.3.k0=-k A.1 only B.1 and 2 only C.1 and 3 only D.2 and 3 only E.1.2.and 3.Answer-29 A total of 22 men and 26 women were at a party,and the average（arithmetic mean）age of all of the adults at the party was exactly 35 years.If the average age of the men was