1、1、A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold?(1) If each of the salespeople sales 4 of the cars, 23 cars will remain unsold.(2) If each of the salespeople sales 6 of the cars, 5 cars will remain unsold. A.Statement (1) ALONE is sufficient, b

2、ut statement (2) alone is not sufficient.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.2、 Wh

3、at is the value of 3x2-1.8x+0.3 for x=0.6?A.-0.3B.0C.0.3D.1.08E.2.463、 (23-1)(23+1)(26+1)(212+1)=A.(224-1)B.(224-1)C.(248-1)D.(296+1)E.26(212-1)4、If x and y are integers and x 0, is y 0?(1) 7x 2y 0(2) -y xA.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2)

4、ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.5、 A hiker walked for 3 days. She walked 18 miles on the first

5、 day, walking 3 miles per hour. On the second day she walked for one less hour, but she walked one mile per hour faster than on the first day. On the third day she walked the same number of hours as on the first day but at the same speed as on the second day. How many miles in total did she walk?A.2

6、4B.44C.58D.60E.626、 If 27P32=3498 , what is the value of p?A.3B.6C.8D.15E.167、 When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.50 for every box, and if the u

7、niversity needs 3.6 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?A.$255B.$275C.$510D.$1,250E.$2,5508、If x/600 = y/300, is y equal to 1,000? (1) x + y = 3,000 (2) 3x = 6,000A.Statement (1) ALONE is sufficient, but statement (2) alone is

8、 not sufficient.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.9、 What is the perimeter of th

9、e figure above? (Note, figure not necessarily drawn to scale) A.155B.185C.220D.235E.25010、 For any 3 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3? . Ordering the 3 numbers numerically, from highest to lowest, and then sele

10、cting the middle number. . Dividing each of the numbers by 3 and then adding the results together. . Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.A. onlyB. onlyC. and onlyD. and onlyE.None of the above11、 The promoters of the Springfield music

11、festival estimated a 50 percent increase in ticket sales from last year, but because of bad weather, ticket sales actually decreased by 25 percent from last years level. What percent of the projected ticket sales were the actual ticket sales?A.45B.50C.55D.65E.7512、 Greg sells gaskets. On three sales

12、, Greg has received commissions of $385, $70, and $190, and he has one additional sale pending. If Greg is to receive an average (arithmetic mean) commission of exactly $220 on the four sales, then the fourth commission must be:A.$135B.$155C.$220D.$235E.$64513、 If the average (arithmetic mean) of a

13、and b is 110, and the average of b and c is 160, what is the value of a-c?A.-220B.-100C.100D.135E.It cannot be determined from the information given.14、 200 is what percent of 40?A.0.2%B.2%C.5%D.20%E.500%15、 A travel company wants to charter a plane to the Bahamas. Chartering the plane costs $8,000.

14、 So far, 18 people have signed up for the trip. If the company charges $300 per ticket, how many more passengers must sign up for the trip before the company can make any profit on the charter?A.7B.9C.13D.27E.4516、 The flat triangular lot depicted above is available for development. If 150 meters, w

15、hat is the area of the lot in square meters?17、In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?(1) From 1977 to 1

16、997 the number of female employees increased by 200 percent at Company C.(2) In 1977 there were 100 female employees at Company C.A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH state

17、ments TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.18、 If the average (arithmetic mean) of x and y is 40, and z-x=60, what is the average of y and z?A.20B.50C.65D.70E.14019、 A coed soccer

18、team has W women and M men on the team. If 4 women and 2 men are added to the team roster, and if one person on the team is selected at random to serve as team captain, then the probability that the team captain will be a woman can be represented as20、 If x dollars are invested at 12 percent for one

19、 year and y dollars are invested at 8 percent for one year, the annual income from the 8 percent investment will exceed the annual income from the 12 percent investment by $64. If $5,000 is the total amount invested between x and y, how much is invested at 12 percent?A.$1,680B.$1,997C.$3,003D.$3,320

20、E.$3,50021、 In the rectangular figure above, the area of the shaded region is equal to the area of the non-shaded rectangle. If AB=6, BC=4, and the longer side of the non-shaded rectangle is an integer, what is one possible measurement for the shorter side of the non-shaded rectangle?22、 Sam is trai

21、ning for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?A.1n23B.3n21C.5n9D.6n18E.9n1523、 36 If x

22、 is an integer and y=4x+3, which of the following cannot be a divisor of y?A.5B.6C.7D.9E.2324、 Last years receipts from the sale of greeting cards during the week before Mothers Day totaled $189 million, which represented 9 percent of total greeting card sales for the year. Total greeting card sales

23、 for the year totaled how many million dollars?A.17,010B.2,100C.1,890D.1,701E.21025、 What percent of 180 is 45?A.0.25%B.4%C.25%D.40%E.250%26、 A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.50. If the companys latest order required

24、a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?A.$960B.$1,350C.$1,725D.$2,050E.$2,25027、 In a sample of patients at an animal hospital, 30 percent are cats and 60 percent are not dogs. What fraction of tho

25、se patients who are not cats are dogs?28、 If x is 20 percent greater than 88, then x=A.68B.70.4C.86D.105.6E.10829、 In the figure above, what is the value of 2s-r?A.60B.70C.100D.140E.22030、 A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:3

26、:1, respectively, but he wanted to make more money, so he shifted the ratio to 2:4:3, respectively. How many more acres of land were planted with tobacco under the new system?A.90B.150C.270D.300E.45031、Professor Vsquez gave a quiz to two classes. Was the range of scores for the first class equal to

27、the range of scores for the second class?(1) In each class, the number of students taking the quiz was 26, and the lowest score in each class was 70.(2) In each class, the average (arithmetic mean) score on the quiz was 85.A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficien

28、t.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.32、 If a cube has a total surface area of 96

29、, what is its volume?A.16B.36C.64D.81E.9633、 Closing prices for a certain stock were recorded each day for a week in the table above. If the monthly average (arithmetic mean) was 18.43 and the standard deviation was 0.27, how many days during this week did the closing price fall within two standard

30、deviations from the average?A.1B.2C.3D.4E.534、If every car sold last week at a certain used-car dealership was either a coupe or a sedan, what was the average (arithmetic mean) sale price for all the cars that were sold at the dealership last week?(1) The average sale price for the sedans that were

31、sold at the dealership last week was $10,600.(2) The average sale price for the coupes that were sold at the dealership last week was $8,400.A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C

32、.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.35、 A company, Chauncy Co., has an annual travel budget of $55,000. The accounting department estimates that transportation ex

33、penses Will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not inc

34、rease this year, and if the accounting departments estimates are correct, how far over the annual travel budget will expenses be this year?A.Expenses will not go over the budget.B.$5O0C.$4,225D.$5,725E.$60,72536、Of the students in a certain school, 15 percent are enrolled in an art class and 10 perc

35、ent are enrolled in a music class. What percent of the students in the school are enrolled in neither an art class nor a music class?(1) 2/3 of the students who are enrolled in an art class are also enrolled in a music class.(2) There are more than 100 students in the school.A.Statement (1) ALONE is

36、 sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT su

37、fficient.37、A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from the collection, what is the number on that card?(1) The units digit of the sum of the numbers on the remaining 35 cards is 6.(2) The sum of the

38、 numbers on the remaining 35 cards is 176.A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statemen

39、t ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.38、On a recent trip, Mary drove 50 miles. What was the average speed at which she drove the 50 miles?(1) She drove 30 miles at an average speed of 60 miles per hour and then drove the remaining 20 miles at an average speed of

40、 50 miles per hour.(2) She drove a total of 54 minutes.A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.

41、EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.39、If n and k are positive integers, is n/k an even integer?(1) n is divisible by 8.(2) k is divisible by 4.A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is

42、sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.40、 A.416B.224C.188D.104E.5641、 A certain truck uses 18 gallons of dies

43、el fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the trucks fuel mileage be increased?A.8B.9C.12D.15E.2742、 Jims Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additio

44、nal charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?A.$3.15B.$4.45C.$4.80D.$5.O5E.$5.4O43、 The U.S. Defense Department has decided that the Pentagon is an obsolete building and that it must be replaced with an upgraded version: the Hexagon. The Secre

45、tary of Defense wants a building that is exactly 70 feet high and 200 feet on a side, and that has a hexagonal bulls-eye cutout in the center (somewhat like the current one) that is 50 feet on a side. What will be the volume of the new building in cubic feet?A.3,937,500 cubic feetB.15,750 cubic feet

46、C.D.E.44、 Suzies Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots co

47、st than pairs of shoes at Suzies Discount Footwear?A.$2.50B.$5.00C.$5.50D.$7.50E.$15.0045、 If Josh, Doug, and Brad have a total of $72 among them, and Josh has three times as much money as Brad but only three-fourths as much as Doug, how much money does Doug have?A.$8B.$9C.$27D.$32E.$3646、 Dan has a

48、 membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many diffA.3B.6C.7D.9E.1247、 WINK, Inc. follows a certain proce

49、dure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 7/8 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be comp

50、leted on time, but task 2 will not?48、 The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the ci

51、rcle graph representing the manufacturing department takes up 72 of the circle, what percentage of MegaTek employees are in manufacturing?A.20%B.25%C.30%D.35%E.72%49、 A restaurant orders 150 kg of pumpkins from the farmers market. The farmer fills the order with 23 pumpkins. The average mass of the

52、first 20 pumpkins is 6.5 kg. What must be the minimum average mass of the remaining 3 pumpkins to fill the order?A.5.5 kgB.5.67 kgC.6.67 kgD.7 kgE.11.5 kg50、 Of the following, which is most nearly equal to but not greater than ?A.3.7B.3.8C.3.9D.4.0E.4.151、Each of the 45 boxes on shelf J weighs less

53、than each of the 44 boxes on shelf K. What is the median weight of the 89 boxes on these shelves?(1) The heaviest box on shelf J weighs 15 pounds. (2) The lightest box on shelf K weighs 20 pounds.A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is

54、sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER are NOT sufficient.52、In the triangle above, is X90 x90?(1) a2+b215a2+b24c4A.Statement (1)

55、 ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D.EACH statement ALONE is sufficient.E.Statements (1) and (2) TOGETHER a

56、re NOT sufficient.53、 In a certain conservative mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested in highly rated corporate bonds. If at least $1.4 million in this fund is invested in highly rated corporate bonds, what is the smallest possible tot

57、al value for the mutual fund?A.$4 millionB.$5 millionC.$6 millionD.$7 millionE.$8 million54、 If x2+9x-3=3x2+2x(4-x), then x2=A.2B.3C.4D.9E.1655、 If x, y, and z are positive integers and x2=y2+z2, which of the following must be true?.xz .x=y+z . y2+z2 is a positive integerA. onlyB. onlyC. onlyD. and

58、onlyE. and only56、 Lottery balls numbered consecutively from 1 through 100 are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 1 on it exactly once?57、 How many positive factors do 180 and 96 have in common?A.6B.12C.16D.18E.2458、 A.0.0125B.0.

59、025C.0.1D.0.25E.0.62559、 To be considered for movie of the year, a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academys 765 members. What is the smallest number of top-10 lists a film can appear on and still be considered for movie of the year?A.191B.192C.1

60、93D.212E.21360、What is the total value of Company Hs stock?(1) Investor P owns 1/4 of the shares of Company Hs total stock.(2) The total value of Investor Qs shares of Company Hs stock is $16,000.A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B.Statement (2) ALONE is