1. All but 50 of the 1,000 plants at the annual flower show weresold. Of the plants sold, 30 percent were sold at a discount of25 percent off the full price, and the remaining plants were soldat the full price of $12. What was the total revenue from theplant sales?

A. $8,550

B. $8,835

C. $10,545

D. $11,100

E. $12,000

2. A particular chainsaw requires a premixed combination ofgasoline and oil in a 4 to 1 ratio. The chainsaw's default mixingrecipe produces enough mix for two chainsaws. If the defaultmixing recipe were changed to yield enough mix for threechainsaws, how many quarts of oil would be needed?

(1) 12 quarts of gas would be needed if the mixing recipewas changed to yield enough mix for four chainsaws.

(2) 6 quarts of gas are used in the default mixing recipe.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

3. For the positive integers q, r, s, and t, the remainder whenq is divided by r is 7 and the remainder when s is divided by tis 3. All of the following are possible values for the product rtEXCEPT

A. 32

B. 38

C. 44

D. 52

E. 63

4. If two sides of a triangle are 12 and 8, which of the followingcould be the area of the triangle?

I. 35II. 48III. 56

A. I only

B. I and II only

C. I and III only

D. II and III only

E. I, II, and III

5. If m and n are positive integers, each of the following could

be equivalent to EXCEPT

A. .

B. .

C. .

D. .

E. .

6. Is the positive integer z a prime number?

(1) z and the square root of integer y have the same numberof unique prime factors.

(2) z and the perfect square y have the same number ofunique factors.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

7. If the sides of a triangle have lengths x, y, and z, x + y =30, and y + z = 20, then which of the following could be theperimeter of the triangle?

I. 28II. 36III. 42

A. I only

B. II only

C. I and II only

D. I and III only

E. I, II, and III

8. Chris tosses all his spare change into a jar on his refrigerator.Once the jar is full, Chris counts out the coins and finds that hehas only pennies, nickels, and dimes in the exact ratio of 1:4:8.How many nickels does he have?

(1) There are exactly 650 coins in the jar.

(2) The ratio of dimes to pennies is 8:1.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

9. In the diagram above, is a right angle, and is

perpendicular to . If has a length of 25 and has a

length of 4, what is the area of ?

A. 125

B. 145

C. 240

D. 290

E. It cannot be determined

10. A chair store sold a certain chair to a collector for 40%morethan the store had originally paid for the chair. When thecollector tried to resell the chair to the store, the store boughtit back at 60%of what the collector had paid. The shop thensold the chair again at a profit of 75%on its buyback price. Ifthe difference between the chair's original cost to the shop andthe amount the collector got from reselling it back to the shop is$176, for how much did the shop sell the chair the second time?

A. $1,243

B. $1,439

C. $1,617

D. $1,851

E. $2,025

11. If it is true that -6 n 10, which of the following must betrue?

A. n 8

B. n = -6

C. n -8

D. -10 n 7

E. none of the above

12.

A. 1

B. 2

C. 3.01

D. 4

E. 6.02

13. Is Jill taller than Jack?

(1) When Jill stands on her 5-inch pail, she is 3 inches tallerthan Jack.

(2) Jill is 5 feet 4 inches tall.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

14. Ms. Crabtree brought 30 identical pieces of candy to passout to her kindergarten class. Every student will get the samenumber of pieces of candy, with no candy left over. Assumingthat each piece of candy cannot be divided, how many pieceswill each student receive?

(1) If her class size were to double, Ms. Crabtree would nothave enough candy for each student.

(2) If half the class were absent, each student would receivetwo times as much candy.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

15. If , is z 8?

(1) x 4

(2) |y| 4

A. Statement (1) by itself is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) taken together are sufficient toanswer the question, even though neither statement byitself is sufficient.

D. Either statement by itself is sufficient to answer thequestion.

E. Statements (1) and (2) taken together are not sufficientto answer the question, requiring more data pertaining tothe problem.

16. The ""length of integer x"" refers to the number of primefactors, not necessarily distinct, that x has. (If x = 60, the lengthof x would be 4 because 60 = 2 2 3 5.) What is thegreatest possible length of integer z if z 1,080?

A. 13

B. 10

C. 9

D. 7

E. 6

17. On average, Machine A will produce a completed item onceevery three minutes, and Machine B will produce a completeditem once every seven minutes. The number of items MachineA produces in a 24-hour period is approximately what percentgreater than the number of items Machine B would produce inthat same period?

A. 125%

B. 133%

C. 150%

D. 166%

E. 233%

18. Which of the following equations does not have at least onesolution?

A. (-3)-x = -3-x

B. (-3)x = (-3)-x

C. (-3)- x = -3x

D. 3-x = (-3)x

E. 3x = (-3)-x

19. The circular base of a planter sits on a level lawn, and justtouches two straight garden walls at points W and Y. The wallscome together at point X, which is 15 inches from the center ofthe planter. What is the area of the base of the planter?

(1) Both points Y and W are 9 inches from the center of theplanter.

(2) Point W is 12 inches from point X.

A. Statement (1) by itself is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) taken together are sufficient toanswer the question, even though neither statement byitself is sufficient.

D. Either statement by itself is sufficient to answer thequestion.

E. Statements (1) and (2) taken together are not sufficientto answer the question, requiring more data pertaining tothe problem.

20. The Smith horse farm has appaloosa, chestnut, andpalomino horses. The appaloosa to chestnut ratio is 1:4 and thechestnut to palomino ratio is 1:2. The Windsor horse farm hasappaloosa and chestnut horses in the ratio of 1:5. Together,the two farms have 45 chestnut horses. How many appaloosahorses does the Smith farm have?

A. 5

B. 7

C. 8

D. 9

E. 11

21. All the paralegals at the Zindler law firm support eitherthe family law attorneys, the estate planning attorneys, orboth the family law and estate planning attorneys. Seventypercent of the paralegals work in only one area of practice,and 121 paralegals work in family law only. If 55 percent ofthe paralegals are in family law only, how many work in estateplanning only?

A. 26

B. 30

C. 33

D. 55

E. 79

22. What is the average of p, q, and r?

(1) p + 3q - 2r = 5

(2) 4p + 2q + 7r = -5

A. Statement (1) by itself is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) taken together are sufficient toanswer the question, even though neither statement byitself is sufficient.

D. Either statement by itself is sufficient to answer thequestion.

E. Statements (1) and (2) taken together are not sufficientto answer the question, requiring more data pertaining tothe problem.

23. The population of bacteria in a research lab doubles every90 minutes. If 3 hours ago there were 2,000 bacteria in a petridish, in approximately how many minutes will the populationexceed 500,000 bacteria?

A. 180

B. 270

C. 360

D. 450

E. 540

24. Which of the following must be true if the square root of X isa positive integer?

I. X has an even number of distinct factors.

II. X has an odd number of distinct factors.

III. The sum of X's distinct factors is odd.

A. I only

B. II only

C. I and III

D. II and III

E. I, II, and III

25. A fruit drink advertises that it has 5 percent apple juice.

Children pour themselves cup of this fruit drink and then add

another cup of fruit drink that has 50 percent apple juice.

Which is most nearly the percent of apple juice in the children'smixed drink?

A. 12.5%

B. 16.3%

C. 17.5%

D. 55.0%

E. 65.0%

26. A new sales clerk in a department store has been assignedto mark sale items with red tags, and she has marked 30%of the store items for sale. However, 20% of the items thatare supposed to be marked with their regular prices are nowmarked for sale, and 55% of the items that are supposed to bemarked for sale are marked with regular prices. What percent ofthe items that are marked for sale are supposed to be markedwith regular prices?

A. 30%

B. 35%

C. 40%

D. 45%

E. 50%

27. What is the remainder when is divided by 10?

(1) x is a multiple of 3.

(2) x is a multiple of 5.

A. Statement (1) by itself is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) taken together are sufficient toanswer the question, even though neither statement byitself is sufficient.

D. Either statement by itself is sufficient to answer thequestion.

E. Statements (1) and (2) taken together are not sufficientto answer the question, requiring more data pertaining tothe problem.

28. Is the Skipper older than the Professor?

(1) The Skipper is older than Ginger, who is older thanGilligan.

(2) Gilligan is younger than the Professor.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

29. A 10-member student leadership committee consists of

juniors and seniors. Exactly 6 students will be selected

from this group to attend a national convention. What isthe probability that at least 3 seniors are selected for thecommittee?

A.

B.

C.

D.

E.

30. Farmer Mack's ranch is currently home to 200 bunnies,whose population increases at a constant monthly rate. Howmany months will it take for the population of bunnies todouble?

(1) If the number of bunnies were to grow at twice thecurrent rate, there would be 675 bunnies on the farm in threemonths.

(2) Four months from now, there will be more than four timesthe current number of bunnies on the farm.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

31. In which quadrant of the coordinate plane does the point (a,b) lie?

(1) - a -b |b|

(2) |ab| + a|b| + |a|b + ab 0

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

32. If the Board of Selectmen contains 4 positions, and if in thecurrent election two candidates are running for each position,how many different combinations of candidates could beelected to the Board?

A. 6

B. 8

C. 12

D. 16

E. 24

33. If the sum of the digits of the positive two-digit number a is3, what is the value of a ?

(1) Triple the value of a is less than 66.

(2) a is odd.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

34. If v, w, x, y, and z are non-negative integers, and a = 3w2v

and b = 5z3y2x, is a terminating decimal?

Note: A terminating decimal is any number that has only afinite number of nonzero digits (i.e. 45, 0.64, and 2.001 areterminating decimals).

(1) w y

(2) v x

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

35. A certain investment grows at an annual interest rate of16%, compounded quarterly. Which of the following equationscan be solved to find the number of years, x, that it would takefor the investment to increase by a factor of 81?

A. 81 = 1.164x

B. 81 = 1.04x

C. 3 = 1.16x

D. 3 = 1.044x

E. 3 = 1.04

x

36. Roger, Babe, and Will have hit a combined total of 256home runs. How many home runs did Babe hit?

(1) Roger, Babe, and Will hit home runs in the ratio of 1:5:10,respectively.

(2) Will hit 80 more home runs than Babe.

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.