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1、GRE 考满分 GRE 数学机经汇总 ? 1. ?zhangweiteacher 2. ?“?200?” ?GRE? SECTION 1 1. A certain brand of dishwashing liquid was sold in two different bottle sizes. The small bottle was sold with 2/5 as many ounces of liquid as the large bottle and was sold at a price that was 1/2 the price of the large bottle. Qu
2、antity A: The price per ounce of the liquid in the small bottle Quantity B: The price per ounce of the liquid in the large bottle A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 2. AB=12, AC=30,
3、and AD= 2/5(AC). Quantity A: The measure of angle BDC Quantity B: 120 。 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 3. Set I consists of the integers from 11 through 100, inclusive. Quantity
4、A: 4 times the number of integers in set T that are multiples of 4 Quantity B: 5times the number of integers in set T that are multiples of 5 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. ? 4.
5、x2+6x=7 Quantity A: (x+3)2 Quantity B: 16 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 5. Quantity A: The number of different prime factors of 500 Quantity B: The number of different prime fac
6、tors of 360. A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 6. Quantity A: The area of a triangular region with perimeter 8 Quantity B: 8 A. Quantity A is greater. B. Quantity B is greater. C. T
7、he two quantities are equal D. The relationship cannot be determined from the information given. 7. List L consists of 7 numbers. The range of the numbers in list L is 0. Quantity A: The average (arithmetic mean) of the numbers in list L. Quantity B: 0 A. Quantity A is greater. B. Quantity B is grea
8、ter. C. The two quantities are equal D. The relationship cannot be determined from the information given. 8. s=|t-2| Quantity A: s+2 Quantity B: |t| A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given
9、. 9.!A jar contains exactly 10 dimes and x quarters and no other coins. If a coin is randomly selected from the jar, the probability that a quarter is selected is 0.6. What is the value of x. A. 5 B. 6 C. 8 D.12 E. 15 10. In the rectangular coordinate system, the point (3,1) is on the circle with ce
10、nter (0,- 3). What is the area of the circle? A. 5 B. 7 C. 10 D. 25 E. 11. (2x+1)2- (2x-1)2 = A. 2 B. 8x C. 4x-1 D. 4x+1 E. 8x+2 12. Which of the following is an equation of a line that doe NOT contain any points in the xy-plane for which both coordinates are integers? A. y=4 B. C.y=x+3 D. E. 7p xy
11、2 1 = 2 1 += xy 3 2 1 +=xy 13. A veterinarian has 70 clients who own cats, dogs, or both. Of these clients, 36 own cats, including 20 clients who own both cats and dogs. Which of the following statements must be true? Indicate all such statements. A. There are 54 clients who own dogs. B. There are 3
12、4 clients who own dogs but not cats. C. There are 16 clients who own cats but not dogs. 14-16 are based on the following data. Survery* of preferred method to obtain news, by age-group *Each person surveyed indicated one of the four methods as his or her preferred method to obtain news. 14. What fra
13、ction of the people in the age-group 20 to 49 indicated newspaper or the Internet as their preferred method to obtain news? 15. Which of the following is closest to the percent of all the people survey who indicated the Internet as their preferred method to obtain news? A. 18.8% B. 21.7% C.23.0% D.3
14、3.3% E.46.0% 16. For the age-group 50 and older, the number of people who indicated the Internet as their preferred method to obtain news is approximately what percent less than the number of people who indicated radio? A. 12% B. 27% C. 36% D. 45% E. 50% 17. When the positive integer x is divided by
15、 42, the remainder is 19. What is the remainder when x is divided by 7? A. 0 B. 2 C. 3 D. 4 E. 5 18. If x is 4 more than half of y and if y is 10 more than half of x, what is the value of x? 19. A pianist agreed to perform one concert at a fee 12.5 percent less than her usual fee and a second concer
16、t at a fee 20 percent greater than the first fee. The fee for the second concert was what percent greater than her usual fee? A. 5% B. 7.5% C. 15% D. 16.25% E. 32.5% 20. Textbook Number of Pages A 510 B 480 C 490 D 520 E x The table shows the number of pages in each of 5 textbooks. What is the great
17、est possible value of x for which the average (arithmetic mean) number of pages of the 5 textbooks is equal to the median number of pages of the 5 textbooks? SECTION 2 1. For the 500 measurements obtained in experiment X, the average (arithmetic mean) value is 280 and the value k is at the 75th perc
18、entile. For the 500 measurements obtained in experiment Y, the average value is 280 and the value n is at the 75th percentile. Quantity A: k Quantity B: n A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information
19、 given. 2. Quantity A: The greatest possible value of , where 9 x 12 and -2 y 8 Quantity B: 2 A. Quantity A is great e r. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 3. x - y =5 Quantity A: x2 - y2 Quantity B: 5 A. Qu
20、antity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 4. for all x. Quantity A: The number b such that f(b) is the minimum value of f Quantity B: -3 A. Quantity A is greater. B. Quantity B is greater. C. Th
21、e two quantities are equal y-x 2 49284)( 2 +=xxxf D. The relationship cannot be determined from the information given. 5. Quantity A: (27)-8 Quantity B: (81)-6 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the inform
22、ation given. 6. m and n are integers. Quantity A: Quantity B: 10mn A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 7. Quantity A: m + n Quantity B: 2m A. Quantity A is greater. B. Quantity B is g
23、reater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 8. Company A has twice as many employees as Company B, and the two companies have no employees in common. If 64 percent of the employees of Company A are women and 52 percent of the employees
24、 of Company B are women, what percent of all ()() nm22 1010 the employees of the two companies are women? 9. A bookcase has s shelves with n books on each shelf, where n is a multiple of both s and s-1. If all of the books on the highest shelf were removed and redistributed equally among the other s
25、helves, which of the following represents the number of books that would be on each of the other shelves? A. B. C. D. E. 10. Which of the following pairs of integers have reciprocals whose sum is either less than 1/3 or greater than 1/2? Indicate all such pairs. A. 1 and 14 B. 3 and 12 C. 5 and 10 D
26、. 7 and 8 1-s ns s sn) 1(+ 1- ) 1( s sn+ 1-s 1)s-(n s sn1)-)(1(+ 11. In the triangle, is y =30, then x = A. 3 B. 4 C. 5 D. 8 E. 9 12. In a survey, 130 people were asked how many movies they had seen in the preceding year. Their responses varied from 0 to 30 movies. The graphs above show two differen
27、t summaries of the same survey results. How many people responded that they had seen 11 or 12 movies? A. 10 B. 12 C. 15 D. 20 E. 23 13. The width and the length of a rectangular piece of plywood are 4 feet and 8 feet, respectively. Along one edge of the plywood, a strip x inches wide and 8 feet long
28、 is removed. Then, along an edge perpendicular to the 8-foot edge, a strip x inches wide is removed. For what value of x will the remaining rectangular piece have width and length in the ratio of 2 to 5? (1 foot = 12 inches) Questions 14-16 are based on the following data. For each of the years 1997
29、 through 2000*, the graph shows the number of towels imported to Japan from China, and the total number of towels imported to Japan from all countries, including China. Number of Towels Imported to Japan, 1997-2000* (in millions of dozens*) *For the first nine months of 2000 *1 dozen = 12 14. In 199
30、8, how many of the imported towels were not imported from China? A. 260 million B. 264 million C. 268 million D. 272 million E. 276 million 15. If the average (arithmetic mean) number of towels imported from China per month was the same for the last 3 months of 2000 as it was for the first 9 months
31、of 2000, approximately how many million dozen towels were imported from China during the 12 months of 2000? A. 57 B. 63 C. 76 D. 80 E. 86 16. In 1999, the ratio of the number of towels imported from China to the total number of towels imported from countries other than China was closets to which of
32、the following? A. 7 to 2 B. 3 to 1 C. 5 to 2 D. 2 to 1 E. 3 to 2 17. If x is a positive integer such that the units digit of x3 is 3, what is the units digit of x15? A. 1 B. 3 C. 5 D. 7 E. 9 18. A. (59)(58) B. (60)(59) C. (58)2 D. (59)2 E. (60)2 = 58! -59!60 19. If a square region with side x and a
33、circular region with radius r have the same area, then x must be how many times as great as r? A. B. C. D. E.2 20. The sum of n numbers is greater than 48. If the average (arithmetic mean) of the n numbers is 1.2, what is the least possible value of n? 1 1 SECTION 1 1. ABCE is a square, and BCDE is
34、a parallelogram. Quantity A: The area of square ABCE Quantity B: The area of parallelogram BCDE A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 2. n is an integer. Quantity A: (-1)n(-1)n+2 Quanti
35、ty B: 1 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 3. The population of Country X for 1980 was p. The population of Country X increased by 3.8 percent in each of the next two years. Quantity
36、 A: The population of Country X for 1982. Quantity B: 1.076p A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. ? 4. x 0 Quantity A: x2 Quantity B: x(x+5) A. Quantity A is greater. B. Quantity B is
37、greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 5. x=2, y=3,z=5 Quantity A: x-1yz-2 Quantity B: A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the informat
38、ion given. 6. x 0 Quantity A: The area of a square region with diagonal of length Quantity B: The area of a circular region with diameter of length x A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information give
39、n. 20 x2 5. ABC is an equilateral triangle. Quantity A: The length of AB Quantity B: A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 6. 1/2 r 1 Quantity A: 2r Quantity B: 1/r A. Quantity A is gre
40、ater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 7. In a data set of 10,000 numbers varying from 20 to 80, the number 62 is the 60th percentile and the number 74 is the nth percentile. Quantity A: n Quantity B: 70 A.
41、 Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 32 8. A historian asserts that at the beginning of 1852, the population of a certain mining town was 16,000. The historian also asserts that for each
42、 of the years from 1849 through 1853, the towns population at the beginning of the year was twice that of the preceding year. According to the historian, what was the range of the towns populations at the beginning of each year from 1848 through 1853? A. 14,000 B. 15,000 C. 28,000 D. 30,000 E. 31,00
43、0 9. A box at a yard sale contains 3 different china dinner sets, each consisting of 5 plates. A customer will randomly select 2 plates to check for defects. What is the probability that the 2 plates selected will be from the same dinner set? A. 2/7 B. 2/5 C. 2/3 D. 5/6 E. 3/2 10. Line l in the xy-p
44、lane contains points A and B with coordinates (-4,5) and (6,-1), respectively. Line k is perpendicular to l and contains the midpoint of line segment AB. Which of the following statements are true? Indicate all such statements. A. The slope of line l is -3/5. B. Line k has a negative slope. C. Line
45、k contains the point (1,2). 11. What is the remainder when 3283 is divided by 5? A. 0 B. 1 C. 2 D. 3 E. 4 12. If x y, which of the following must be true? A. 2x y C. x2 y2 D. 2x-y y E. 2x-y 2xy 13. A rectangular solid P has height 2c and a base of width a and length b. Two other rectangular solids,
46、Q and R, each have height c and bases of width a and length b. Which of the following represents the amount by which the sum of the surface areas of Q and R exceeds the surface areas of P? A. 2ab B. 4ab C. 2ab + 2bc D. 2ab + 4ac E. 2ab +4ac +4bc Questions 14 and 16 are based on the following data. A
47、 survey of 550 male managers and 650 female managers was conducted. All 1,200 managers identified whether, for each of six characteristics, the characteristic is important to consider when hiring a new employee. For each of the six characteristics, the percent of managers surveyed who identified tha
48、t characteristic as important to consider is given in the following table. SURVEY RESULTS Characteristic Percent Work experience 72% Proficiency in English 68% Ability to follow directions 65% Specific occupational skill 60% Computer expertise 58% Appropriate attire and behavior 55% 14. Which of the following statements about the managers surveyed must be true? (多 选） A. Less than 55 percent were male managers. B. Of the male managers, more identified work experience as an important characteristic to consider than identified proficiency in English. C. Less