1、GRE（ QUANTITATIVE）模拟试卷 17及答案与解析 0 Directions: In the following type of question, two quantities appear, one in Column A and one in Column B. You must compare them. The correct answer to the question is A if the quantity in Column A is greater B if the quantity in Column B is greater C if the two qua
2、ntities are equal D if it is impossible to determine which quantity is greater Notes: Sometimes information about one or both of the quantities is centered above the two columns. If the same symbol appears in both columns, it represents the same thing each time. 4 6 9 11 15 The Center City Little Le
3、ague is divided into d divisions. Each division has t teams, and each team has p players. How many players are there in the entire league? 16 A number x is chosen at random from the set of positive integers less than What is the probability that ? 17 18 In 1980, the cost ofp pounds of potatoes was d
4、 dollars. In 1990, the cost of 2p pounds of potatoes was d/2 dollars. By what percent did the price of potatoes decrease from 1980 to 1990? （ A） 25% （ B） 50% （ C） 75% （ D） 100% （ E） 400% 19 A bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at random, one a
5、t a time. What is the least number of marbles he must remove to be sure that he has at least one of each color? （ A） 3 （ B） 6 （ C） 8 （ D） 10 （ E） 12 20 Jordan has taken 5 math tests so far this semester. If he gets a 70 on his next test, it will lower the average (arithmetic mean) of his test scores
6、 by 4 points. What is his average now? （ A） 74 （ B） 85 （ C） 86 （ D） 90 （ E） 94 21 If a and b are the lengths of the legs of a right tri-angle whose hypotenuse is 10 and whose area is 20, what is the value of (a + b)2? （ A） 100 （ B） 120 （ C） 140 （ D） 180 （ E） 200 22 What is the average (arithmetic me
7、an) of 330, 360, and 390? （ A） 360 （ B） 3177 （ C） 310 + 320 + 330 （ D） 327 + 357 + 387 （ E） 329 + 359 + 389 23 The figure at the right consists of four semicircles in a large semicircle. If the small semicircles have radii of 1, 2, 3, and 4, what is the perimeter of the shaded region? （ A） 10 （ B） 2
8、0 （ C） 40 （ D） 60 （ E） 100 24 If a is increased by 25% and b is decreased by 25%, the resulting numbers will be equal. What is the ratio of a to b? 24 25 In 1990, the total revenue for widgets sold was about how many times as great as the number of widgets sold? （ A） 3 （ B） 10 （ C） 65 （ D） 98 （ E） 1
9、20 26 In 1970, if the cost to produce one widget was $0.07, what would have been the total cost to produce the number of widgets sold during that year? （ A） $1,540 （ B） $14,000 （ C） $20,650 （ D） $22,750 （ E） $34,300 27 The percent decrease in average number of production hours per widget from 1990 t
10、o 2000 was approximately （ A） 44% （ B） 36% （ C） 34% （ D） 32% （ E） 27% 28 In how many of the years shown was the number of widgets sold at least three times the number of widgets sold in 1960? （ A） Four （ B） Three （ C） Two （ D） One （ E） None 29 Which of the following statements can be inferred from t
11、he data? I. The greatest increase in total yearly revenue over any 10-year period shown was $7 million. II. In each of the 10-year periods shown in which total yearly revenue increased, the average number of production hours per widget decreased. III. From 1980 to 1990, fewer widgets were sold becau
12、se each widget took longer to produce. （ A） I only （ B） II only （ C） III only （ D） I and III （ E） II and III 29 30 In which of the following pairs of years were the ratios of Republican receipts to Democratic receipts most nearly equal? （ A） 1981-82 and 1985-86 （ B） 1983-84 and 1995-96 （ C） 1987-88
13、and 1989-90 （ D） 1987-88 and 1995-96 （ E） 1991-92 and 1993-94 31 Between which two consecutive two-year periods was there the greatest percent increase in the Democratic receipts? （ A） 1981-82 to 1983-84 （ B） 1985-86 to 1987-88 （ C） 1989-90 to 1991-92 （ D） 1991-92 to 1993-94 （ E） 1993-94 to 1995-96
14、31 32 The revenue from lottery ticket sales is divided between prize money and the various uses shown in the graph labeled “Proceeds.“ In 1997, what per-cent of the money spent on tickets was returned to the purchasers in the form of prize money? （ A） 23.5% （ B） 50% （ C） 60% （ D） 66% （ E） 74% 33 App
15、roximately what percent of the proceeds that went to the states General fund would have to be given to the senior citizen programs so that the proceeds for the senior citizen programs and the Cities would be equal? （ A） 0.9% （ B） 9% （ C） 31% （ D） 48% （ E） 69% 33 34 According to the graph, which of t
16、he following is the best estimate of the total revenue from government funding in 1990? （ A） $60 million （ B） $55 million （ C） $45 million （ D） $35 million （ E） $30 million 35 Each of the following is a valid conclusion that can be drawn from the information in the graph EXCEPT: （ A） the total reven
17、ue from tuition and government funding in 2000 was $120 million （ B） between 1980 and 1990, the proportion of total revenue from government funding increased （ C） revenue from government funding increased every year from 1950 to 2000 （ D） revenue from tuition increased every year from 1960 to 1990 （
18、 E） revenue from tuition increased at a greater rate than did revenue from government funding 36 The length of a rectangular kitchen floor is 3 feet more than its width. If the length of the floor is 12 feet, what is the area of the floor in square feet? （ A） 9 （ B） 15 （ C） 42 （ D） 108 （ E） 144 GRE（
19、 QUANTITATIVE）模拟试卷 17答案与解析 1 【正确答案】 A 2 【正确答案】 A 3 【正确答案】 D 4 【正确答案】 A 5 【正确答案】 C 6 【正确答案】 D 7 【正确答案】 C 8 【正确答案】 B 9 【正确答案】 C 10 【正确答案】 C 11 【正确答案】 B 12 【正确答案】 A 13 【正确答案】 C 14 【正确答案】 A 15 【正确答案】 B 16 【正确答案】 B 17 【正确答案】 B 18 【正确 答案】 C 19 【正确答案】 D 20 【正确答案】 E 21 【正确答案】 D 22 【正确答案】 E 23 【正确答案】 B 24 【正确答案】 A 25 【正确答案】 D 26 【正确答案】 D 27 【正确答案】 A 28 【正确答案】 D 29 【正确答案】 B 30 【正确答案】 C 31 【正确答案】 A 32 【正确答案】 D 33 【正确答案】 C 34 【正确答案】 C 35 【正确答案】 B 36 【正确答案】 D
