1、GRE（ QUANTITATIVE）模拟试卷 25及答案与解析 0 Some questions give you two quantities, Quantity A and Quantity B. Compare the two quantities and choose one of the following answer choices:A if Quantity A is greater;B if Quantity B is greater;C if the two quantities are equal;D if you cannot determine the relatio
2、nship based on the given information.Note: Information and/or figures pertaining to one or both of the quantities may appear above the two columns. Any information that appears in both columns has the same meaning for both Quantity A and Quantity B.You will also be asked Data Interpretation question
3、s, which are grouped together and refer to the same table, graph, or other data presentation. These questions ask the examinee to interpret or analyze the given data. The types of questions may be Multiple-choice(both types)or Numeric Entry. 7 Each of Questions 1 to 7 presents two quantities, Quanti
4、ty A and Quantity B. Compare the two quantities. You may use additional information centered above the quantities if such information is given. Choose one of the following answer choices:A if Quantity A is greater;B if Quantity B is greater;C if the two quantities are equal;D if you cannot determine
5、 the relationship based on the given information. 15 If 65 percent of the people who purchase a certain model of a car are male, what is the ratio of the number of males who purchase the model to the number of females who purchase the model? （ A） 13/10 （ B） 13/7 （ C） 7/13 （ D） 7/10 （ E） 7/5 16 Which
6、 of the following is the sum of two positive integers whose product is 36? （ A） 1 （ B） 11 （ C） 15 （ D） 17 （ E） 19 17 There are six members on a committee, four of whom are women and two of whom are men. The members agree to randomly pull two names out of a hat to serve as Chair and Secretary for the
7、 group, respectively. What is the probability that both of the men are chosen? Give the probability as a fraction. _ 18 If the degree measures of the angles of a triangle are in the ratio 2:3:4, what is the degree measure of the smallest angle? （ A） 15 （ B） 20 （ C） 40 （ D） 45 （ E） 60 19 If 4 more th
8、an twice n is a negative number and 6 more than n is a positive number, which of the following numbers could be the value of n? Select all such numbers. （ A） -5 （ B） -4 （ C） -3 20 If a+c=13 and b-c=6, then a+b=? （ A） 7 （ B） 13 （ C） 19 （ D） 22 （ E） 26 21 In the figure above, what is the value of a? （
9、 A） 15 （ B） 25 （ C） 30 （ D） 45 （ E） 115 22 A gift box has edges of 2 inches, 3 inches, and 7 inches. What is the surface area of the box, in square inches?_ 23 If the average(arithmetic mean)of two numbers is 16 and one of the numbers is x, what is the other number in terms of x? （ A） 16-x （ B） 16-2
10、x （ C） 16+x （ D） 32-x （ E） 32-2x 24 （ A） 0.017328 （ B） 0.17328 （ C） 1.7328 （ D） 17.328 （ E） 17328 25 Mandy and Jordan each bought some notebooks and a three-ring binder. Mandy paid $5.85 for 3 notebooks and 1 binder. Jordan paid $4.65 for 2 notebooks and 1 binder. What is the price of one of the not
11、ebooks? （ A） $2.70 （ B） $2.25 （ C） $1.80 （ D） $1.20 （ E） $0.75 26 Which of the following is not a divisor of 336? （ A） 6 （ B） 7 （ C） 8 （ D） 9 （ E） 12 27 In the figure above, XY= YZ. If angle 7=40, then angle X=? _ 28 （ A） 5 （ B） 12 （ C） 24 （ D） 33 （ E） 41 29 A certain highway has Exits 1, 2, 3, and
12、4 in that order. Which of the following statements individually provide(s)sufficient additional information to determine the distance from Exit 2 to Exit 3? Select all such statements. （ A） The distance from Exit 1 to Exit 3 is 7 miles, and the distance from Exit 3 to Exit 4 is 4 miles. （ B） The tot
13、al distance from Exit 1 to Exit 4 is 23 miles, the distance from Exit 1 to Exit 2 is 3 miles, and the distance from Exit 3 to Exit 4 is 9 miles. （ C） The total distance from Exit 1 to Exit 4 is 23 miles, and the distance from Exit 2 to Exit 4 is 20 miles. 30 The average of a set of six integers is 3
14、When a seventh number is included in the set, the average of the set increases to 4What is the seventh number? 31 What is the area, in square inches, of a circle with a diameter equal to 12 inches? （ A） 144 （ B） 36 （ C） 12 （ D） 36 （ E） 144 31 32 In 1990, the total revenue for widgets sold was about
15、how many times as great as the number of widgets sold? （ A） 3 （ B） 10 （ C） 65 （ D） 98 （ E） 120 33 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? _ 34 The percent decrease in average number of productio
16、n hours per widget from 1990 to 2000 was approximately （ A） 44% （ B） 36% （ C） 34% （ D） 32% （ E） 27% 35 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 35 36 The number of hamburger
17、s sold at a stand near the beach for a given week in the summer is shown in the previous chart. Approximately what was the ratio of hamburgers sold on the weekdays(Monday through Friday)to hamburgers sold on the weekend(Saturday and Sunday)? （ A） 2:5 （ B） 16:29 （ C） 3:4 （ D） 29:16 （ E） 5:2 36 Andrew
18、 fitted an electric toy car with hard rubber wheels that had deep treads and placed the car on a smooth, flat surface. Andrew started the car and a stopwatch at the same time. Andrew stopped the stopwatch as the car crossed the 75-foot mark. He calculated the results of 3 separate trials as shown in
19、 the table below. Andrew repeated the procedure, except he fitted the car with soft rubber wheels that were smooth and lacked treads. The results are shown in the table below. 37 What was the average time the car with the soft wheels took to cross the 75-foot mark? （ A） 22.8 seconds （ B） 33.9 second
20、s （ C） 39.8 seconds （ D） 56.7 seconds （ E） 170.1 seconds 38 Assuming that the car traveled at a constant speed, approximately how far had the car with hard wheels traveled in Trial 3 after 11.25 seconds? （ A） 22.5 feet （ B） 37.5 feet （ C） 75.0 feet （ D） 253.125 feet （ E） Not enough information is gi
21、ven. 39 During which procedure and trial did the car travel at the highest speed? （ A） Procedure 1, Trial 1 （ B） Procedure 1, Trial 2 （ C） Procedure 1, Trial 3 （ D） Procedure 2, Trial 1 （ E） Procedure 2, Trial 3 40 Assuming the car in Procedure 1 traveled at a constant speed, approximately how long
22、would it take the car to travel 100 feet? （ A） 100 seconds （ B） 68.4 seconds （ C） 30.4 seconds （ D） 25 seconds （ E） 22.8 seconds GRE（ QUANTITATIVE）模拟试卷 25答案与解析 1 【正确答案】 B 【试题解析】 The correct answer is B. Opposite angles of a parallelogram are congruent, or equal. Therefore,(s-6)=(r-4). Select one var
23、iable and solve: s-6=r-4 s=r+2 If s=r+ 2, then s must be greater than r, and Quantity B is greater than Quantity A. 2 【正确答案】 B 【试题解析】 The correct answer is B. Because 1/12 is less than 1/8 subtracting from 1 will result in a larger number than will subtracting 1/8 from 1. Therefore, Quantity B is gr
24、eater Quantity A. 3 【正确答案】 B 【试题解析】 The correct answer is B. To solve this problem, pay attention to the location of the negative sign. Quantity A=-(44)=-16. Quantity B =(-4-4)= 16. 4 【正确答案】 C 【试题解析】 The correct answer is C. To easily solve this problem, recognize that(4x)(7y)= 28xy. Therefore, no m
25、atter what value you assign to either x or y, the quantities will be the same. 5 【正确答案】 A 【试题解析】 The correct answer is A. To solve this problem set up 3 equations: Mike=Tom -3 Mark=Tim+ 8 Tom=Tim + 9 Substitute(Tim+ 9)for Tom in the first equation: Mike=Tim+9-3=Tim+6. If Mike=Tim+6 and Mark=Tim+8, t
26、hen Mark=Mike + 2. Therefore, Marks age is greater Mikes age, and Quantity A is greater than Quantity B. 6 【正确答案】 A 【试题解析】 The correct answer is A. To solve this problem, let x be the radius of each racquetball. The height of the six racquetballs, then, is 12x, because the diameter is equal to 2x. T
27、he racquetballs are circles, so the circumference of each racquetball is 2x. Quantity A, the sum of the circumferences of three racquetballs, is 6x. The value of is approximately 3.14, so 6x will be greater than 12x, and Quantity A is greater than Quantity B. 7 【正确答案】 A 【试题解析】 The correct answer is
28、A. The number of male dogs is 17-5 or 12. The fraction of male dogs in the kennel is 12/17. The ratio of female to male dogs is 5/12. Therefore, Quantity A is greater than Quantity B. 8 【正确答案】 D 【试题解析】 The correct answer is D. Quantity B is larger when x 1; quantities A and B are equal when x=l. Bec
29、ause the value of x is not specified, you cannot determine a relationship between the quantities. 9 【正确答案】 C 【试题解析】 The correct answer is C. To solve this problem, substitute the given values into the equation for Quantity A: If s=10,then(s-3)2 =(10-3)2=49 If s=-4, then(s-3)2 =(-4-3)2=49 Therefore,
30、both quantities are equal. 10 【正确答案】 D 【试题解析】 The correct answer is D. Even though you know that AC is a straight line, you dont know where B falls in arc ABC, because you are not given a value for either of the angles, and you do not know where BO intersects AC. 11 【正确答案】 D 【试题解析】 The correct answe
31、r is D. To solve this problem, pick values for r and substitute them into each equation. For example, when r=200, r-125 = 75, and 300-r=100. In this case, Quantity B is greater. However, when r=300, r-145 = 155, and 300-r=0 and Quantity A is greater. You cannot determine a relationship between the t
32、wo quantities. 12 【正确答案】 A 【试题解析】 The correct answer is A. The sum of the lengths of the two sides of a triangle is always greater than the length of the third side; thus, QR0. Solve each inequality as follows: 4+2n0 n-6 So, n could be any number less than -2 and greater than -6. 20 【正确答案】 C 【试题解析】
33、The correct answer is C. Given that a+c=13 and b-c=6, the quantity a+b can be determined by substitution. If a+c=13, then c=13-a. Substituting c=13-a into o-c=6 yields the following: b-(13-a)=6 b-13+a=6 b+a=6+13 a+b=19 21 【正确答案】 A 【试题解析】 The correct answer is A. To solve this problem, recall the rel
34、ationships between opposite angles. You are given the angle measures of two angles in one of the triangles in the figure: 40 and 25. Therefore, the third angle must measure 180-40-25 = 115. The angle opposite this angle will also measure 115. You now know two of the angle measures for the triangle c
35、ontaining angle a, and can calculate the value of angle a: 180-50-115 = 15. 22 【正确答案】 82 【试题解析】 The correct answer is 82. To calculate the surface area, first calculate the area of each side of the box: 2 sides will have an area of 2x3 = 6 square inches. 2 sides will have an area of 2x7 = 14 square
36、inches. 2 sides will have an area of 3x7 = 21 square inches. Therefore, the surface area of the box is 2(6)+ 2(14)+ 2(21)= 82. 23 【正确答案】 D 【试题解析】 The correct answer is D. If the average of two numbers, x and some other number well call y, is 16, then = 16. Thus x+y=32 andy=32-x. 24 【正确答案】 C 【试题解析】 T
37、he correct answer is C. Multiplying 173.28 by 1/100 is the same as divid100 ing 173.28 by 100, which will have the effect of reducing the quantity. You can eliminate answer choice E. When dividing by 100, the decimal point is moved two places to the left. Thus, 173.28 =1.7328. 25 【正确答案】 D 【试题解析】 The
38、 correct answer is D. To solve this problem, set up a system of equations and solve for n: 3n + b=5.85 2n + b=4.65 n=1.20 26 【正确答案】 D 【试题解析】 The correct answer is D. To solve this problem, simply divide 336 by each of the answer choices and see which one does not come out evenly. The number 336 can
39、be evenly divided by 6, 7, 8, and 12, but not 9. 27 【正确答案】 70 【试题解析】 The correct answer is 70. To solve this problem, recognize that the angles opposite the congruent sides will also be congruent. The total of these angles must be 180-40 = 140, so both angle X and angle Z will equal 70. 28 【正确答案】 C
40、【试题解析】 The correct answer is C. To solve this problem, first add the values in the parentheses: . Recall that xx=x2. Thus, , which equals 24. 29 【正 确答案】 B 【试题解析】 The correct answer is B. To answer this question, you need information about the distance between all four exits; therefore, Statement(A)a
41、lone is not sufficient. Statement(B)gives you sufficient information to calculate the distance between Exit 2 and Exit 3: the entire distance is 23 miles, the distance between Exit 1 and Exit 2 is 3 miles, the distance between Exit 3 and Exit 4 is 9 miles, which means that the distance between Exit
42、2 and Exit 3 is 23-3-9=11. Statement(C)does not provide sufficient information to determine the distance from Exit 2 to Exit 3. 30 【正确答案】 101 【试题解析】 The correct answer is 101. If the average of the six integers is 38, then the total must be 6x38 = 228. If the average of the seven integers is 47, the
43、n the total must be 7x47 = 329. You are adding the seventh integer to the set, so the value of the seventh integer will be 329-228 = 101. 31 【正确答案】 D 【试题解析】 The correct answer is D. A circle with diameter 12 inches has a radius of 6 inches. The area of a circle is A=r2, where r is the radius. Theref
44、ore, the area of the circle is 62 = 36. 32 【正确答案】 D 【试题解析】 The correct answer is D. According to the graphs, in 1990 total revenue was $29 million and the number of widgets sold was 295,000. Because 295,000 is slightly less than 10% of 29,000,000, the total revenue must have been just under 100 time
45、s greater than the number of widgets sold. 33 【正确答案】 22750 【试题解析】 The correct answer is 22,750. According to the graphs, in 1970, 325,000 widgets were sold; at $0.07 per widget, the total cost would have been 325,000($0.07), or $22,750. 34 【正确答案】 A 【试题解析】 The correct answer is A. According to the gr
46、aphs, from 1990 to 2000, the average number of production hours per widget decreased from 9 to 5. To calculate the percent decrease, divide the difference between the starting value and ending value(9-5)by the starting value: 4/9 = 0.44 , which is equivalent to 44%. 35 【正确答案】 D 【试题解析】 The correct an
47、swer is D. The first step in solving this problem is to calculate three times the number of widgets sold in 1960. According to the graphs, the number of widgets sold in 1960 was 115,000; 115,000(3)= 345,000. The only year in which more than 345,000 widgets sold was 1980(490,000 widgets sold). 36 【正确
48、答案】 D 【试题解析】 The correct answer is D. The graph shows approximately 125, 100, 125, 150, and 225 hamburgers sold, Monday through Friday. The sum of these sales is approximately 725 hamburgers. Approximately 400 hamburgers were sold over the weekend, so the ratio is 725:400, which reduces to 29:16. 37
49、 【正确答案】 D 【试题解析】 The correct answer is D. The soft wheels data is in the second table. Calculate the average of those three times:(57.0 + 56.4 + 56.7)+ 3 = 56.7 38 【正确答案】 B 【试题解析】 The correct answer is B. Since the car traveled at a constant speed, you can set up a proportion between the time and distance of the whole run and the time and distance of the partial run. 75x11.25 = 22.5x 843.75 = 22.5x 37.5=x Therefore, the car traveled 37.5 feet in 11.25 seconds. 39 【正确 答案】 C 【试题解析】 The correct answer is C. The data in the tables ref
