1、GRE（ QUANTITATIVE）模拟试卷 24及答案与解析 0 Each of Questions 1 to 7 presents two quantities. Quantity 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 grea
2、ter;B if Quantity B is greater;C if the two quantities are equal;D if you cannot determine the relationship based on the given information. 7 Each of Questions 1 to 7 presents two quantities. Quantity A and Quantity B. Compare the two quantities. You may use additional information centered above the
3、 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 the relationship based on the given information. 15 For senior class pictures, a photographer charges
4、 x dollars to make a negative, dollars for each of the first 20 prints, and dollars for each print in excess of 20 prints. If $80 is the total charge to make a negative and 30 prints, what is the value of x? （ A） 3 （ B） 4 （ C） 5 （ D） 6 （ E） 7 16 If Tom traveled 45 miles in 12 hours and Jim traveled
5、four times as far in one-third the time, what was Jims average speed, in miles per hour? （ A） 5 （ B） 15 （ C） 30 （ D） 45 （ E） 90 17 Solve the equation for x: 2(x-3)+9=4x-7 18 In parallelogram WXYZ shown above, WY is perpendicular to YZ and the measure of angle WZY is 72. What is the measure of angle
6、XYW? （ A） 12 （ B） 18 （ C） 36 （ D） 58 （ E） 72 19 Which of the following is equivalent to the inequality 3x-66x+9? （ A） x-5 （ B） x-2 （ D） x3 20 You know that x is a positive integer. Which of the following statements individually provide(s)sufficient additional information to determine whether the squ
7、are root of x is also an integer? Select all such statements. （ A） x is the square of an integer. （ B） The square root of x is the square of an integer. （ C） 01)is greater than Quantity B( 4 【正确答案】 D 【试题解析】 The correct answer is D. Given that x+y=4, there are infinitely many pairs of(x, y)values tha
8、t make the equation true. For example: 2 + 2=4 5 +(-l)= 4 (-3)+ 7=4 From the three examples above, it is clear that there are instances when x=y, xy, and x-2x+8y=26 11y=44 Dividing both sides of the equation 11y=44 yields y=4. Using the original equation x-4y=-13, substitute 4 for y. Thus x-4(4)=-13
9、, or x-16=-13. Adding 16 to both sides results in x=3. Therefore, Quantity A, x+y, equals 3+4, or 7. Quantity B is 6, which is less than 7. 6 【正确答案】 B 【试题解析】 The correct answer is B. You could solve this by multiplying each quantity and comparing. However, you could also solve by thinking about the
10、quantities in the following way: 14(256) = 14(255 + 1) = 14(255)+ 14(1) = 14(255)+ 14 15(255) =(14 + 1)(255) =14(255)+ 1(255) =14(255)+ 255 Thus it is apparent that Quantity B is greater than Quantity A. 7 【正确答案】 A 【试题解析】 The correct answer is A. To solve this problem, you should recognize that 90,0
11、00 is equal to(300)2. Because 300 is greater than 298.89,(300)2 will be greater than(298.89)2, so Quantity A is greater than Quantity B. 8 【正确答案】 B 【试题 解析】 The correct answer is B. To answer this question, you must recognize that = 6; Quantity A is 6. Quantity B is , which must be greater than 6. 9
12、【正确答案】 B 【试题解析】 The correct answer is B. To compare the quantities, first determine Quantity B. To find 75% of the original price, multiply the original price($25)by 0.75:(25)(0.75)= 18.75. Thus, Quantity B(18.75)is greater than Quantity A(7.50). 10 【正确答案】 B 【试题解析】 The correct answer is B. To solve
13、this problem, calculate the length of ST using the Pythagorean theorem. Because RST is a right triangle, 52 + 72 = ST2; 25+49 = 74, which is equal to ST2. Because 9 , Quantity B is greater than Quantity A. 11 【正确答案】 D 【试题解析】 The correct answer is D. Given that xy=64, there are a variety of values fo
14、r x and y. For example, if x=2, then y=5, such that 25 = 64. However, if x=8, then y=2 such that 82 = 64. Both examples are valid, yet in the first, xy and in the second, x 12 【正确答案】 B 【试题解析】 The correct answer is B. To solve this problem, find the angle measure of a sector of a circle that encompas
15、ses 20% of the circle. Because there are 360 in a whole circle, a sector that is 20% of the circle would have an angle measure of 20% of 360, or(0.20)(360), which is 72. Thus Quantity B(75)is greater than Quantity A(72). 13 【正确答案】 A 【试题解析】 The correct answer is A. The best way to solve this problem
16、is to pick numbers to substitute for a and b, keeping in mind that a must be greater than b, and b must be greater than 1. If you let a=3 and b=2, the quantity equals 4/3 while the quantity equals3/2. In this case Quantity A is greater than Quantity B. Further, if you let a=10 and b=9, the quantity
17、equals 11/10, or 1.1, while the quantity equals 10/9, or approximately 1.111. Again in this case Quantity A is greater than Quantity B. Even though the difference between the quantities and gets smaller as a and b get larger, Quantity A is always greater than Quantity B. 14 【正确答案】 A 【试题解析】 The corre
18、ct answer is A. To solve this problem, determine how the quantity x-y compares to 0, given that x is a negative integer and y is a positive integer. Because x is a negative integer, subtracting a positive integer from it would yield another negative integer with a greater value; therefore, the quant
19、ity x-y6x+9 -3x15 x-5 20 【正确答案】 A, B 【试题解析】 The correct answer is A and B. Statement(A)can be expressed as x-t2, where t is any nonzero integer. In this case, the square root of x equals the square root of t2, which is t or -t, depending on whether t is positive or negative, respectively. In either
20、case, the square root of x is an integer. Therefore, statement(A)alone is sufficient. Statement(B)is also sufficient because the square of an integer must also be an integer. Statement(C)indicates that x is a positive integer less than 10, which is not sufficient to determine whether the square root
21、 of x is also an integer. 21 【正确答案】 A, D 【 试题解析】 The correct answer is A and D. Supplementary angles total 180. l is adjacent to 2 and forms a straight line, so the two angles are supplementary. l = 3 because they are corresponding angles. Since 6 is adjacent and supplementary to 3, it is also suppl
22、ementary to l. In this case, angles represented by B, C, and E are all congruent to l. 22 【正确答案】 1000 【试题解析】 The correct answer is 1000. The “9“ is in the hundredths place, and the “3“ is in the tens place. There are 1000 hundredths in a ten. 23 【正确答案】 B 【试题解析】 The correct answer is B. The problem c
23、an be solved by using two simultaneous equations: s+d=3A0 and 3s+2d=9.10. Doubling the first equation and subtracting it from the second gives the result that s(the cost of a soda)is $1.10. 24 【正确答案】 C 【试题解析】 The correct answer is C only. Among the choices, only is not an integer; it is an irrationa
24、l number. 25 【正确答案】 B 【试题解析】 The correct answer is B. If a 17% discount is taken, then the customer is actually paying 83% of the original cost. Taking 83% of 180(0.83x180), the discounted price would be approximately $149. 26 【正确答案】 D 【试题解析】 The correct answer is D. One way to quickly solve this pr
25、oblem would bo to note that the distance between the points is 16 units, so the correct answer will be 4 units from Point Y and 12 units from Point Z. You could also try each of the answer choices. 27 【正确答案】 400 【试题解析】 The correct answer is 400. To solve this problem, note that the diameter of the c
26、ircle is 20 cm, which means that each side of the square is 20 cm. The area of the square is 20 cm20 cm, which equals 400 cm2. 28 【正确答案】 A 【试题解析】 The correct answer is A. To quickly solve this problem, note that when you divide a whole number by a fraction, the result is greater than the whole numbe
27、r. You could also solve each of the operations separately. 29 【正确答案】 B 【试题解析】 The correct answer is B. To solve this problem, remember that 1/4 is equivalent to 0.25, and that 0.1 percent is equivalent to 0.001(0.1/100. Therefore, 1/4, or 0.25 of 0.001 = 0.00025; do not get confused and simply find
28、1/4 of 0.1,(0.025)because the question asks for 1/4 of 0.1 percent. 30 【正确答案】 1/15 【试题解析】 The correct answer is 1/15. Since there are 6 names in the hat, and 2 are men, the probability that the first name drawn is a man is 2/6=1/3. Then, of the remaining 5 names in the hat, only 1 is a man, so the c
29、hances that he will be chosen are 1 in 5. To find the probability of both events occurring, take . 31 【正确答案】 C 【试题解析】 The correct answer is C. The quickest way to solve this problem is to note that, if you draw a line from C perpendicular to AD, you create a rectangle whose area is 16x8, or 128 squa
30、re units. Because the trapezoid is slightly larger than the rectangle, the area must be slightly greater than 128. Only answer choice C works. You can also calculate the area of the small tri-angle you created when you drew the perpendicular line: (2x8)= 8; 128 + 8 = 136. 32 【正确答案】 B 【试题解析】 The corr
31、ect answer is B. If 20 male senators were replaced by 20 female senators, then there would be 75 male senators(95 - 20)and 25 female senators(5 + 20). The ratio would be 75 to 25, which can be reduced to 3 to 1. 33 【正确答案】 B 【试题解析】 The correct answer is B. There are a total of 330 Democrats in Congre
32、ss(276 in the House of Representatives and 54 in the Senate). There are a total of 535 members of Congress. So 330/535, or approximately 62% of the members of Congress belong to the Democratic Party. 34 【正确答案】 A, C 【试题解析】 The correct answer is A and C. According to the table, there are 346 lawyers i
33、n Congress, and 272 of them are in the House of Representatives. is approximately 0.79, or 79%, so Statement A can be inferred. Because the educators are not divided into groups of male or female, you cannot determine if there are more female educators in one branch of Congress over another. Therefo
34、re, Statement B cannot be inferred. According to the table, members of the House of Representatives range in age from 29 to 74(average age=44), while members of the Senate range in age from 32 to 79(average age=56). Therefore, Statement C can be inferred. 35 【正确答案】 C 【试题解析】 The correct answer is C.
35、To solve this problem, first note that there are 435 total members of the House of Representatives. According to the graph, 9 of these people are Farmers or Ranchers. 36 【正确答案】 A 【试题解析】 The correct answer is A. To find the average yearly decrease, first find the total decrease over the 4 years. In 1
36、994 the total price of polyester was approximately $35,000, and in 1998, it was approximately $30,000. So the difference is $5,000. Now, to find the average, divide by 4 years: 5,000 + 4 = 1,250. 37 【正确答案】 C 【试题解析】 The correct answer is C. In 1995 the total number of dieters was 135 million. 17% of
37、these people were on the Zone Diet: 0.17135 = 22.95, or approximately 23 million people. 38 【正确答案】 D 【试题解析】 The correct answer is D. In 1995, 3% of 135 million people were on the Slim Fast diet: 0.03 135=4.05. In 2000, 6% of 210 million people were on the Mediterranean diet: 0.06210 = 12.6. So the r
38、atio is 4.05 : 12.6, or 405: 1,260. This reduces to 9:28 or 9/28 39 【正确答案】 C 【试题解析】 The correct answer is C. In 1995, 0.07135, or 9.45 million people were on the Master Cleanse diet. In 2000, 0.13210, or 27.3 million people were on it. The difference between the two numbers is 17.85. So the fraction
39、 is the difference over the original, or , which simplifies to 1.88888 or 1.89. 40 【正确答案】 C 【试题解析】 The correct answer is C. According to the circle graph, Atkins dieters represent 9% of the total number of dieters in 1995. There are 360 in a circle, so the approximate measure of the central angle representing Atkins dieters in 1995 is 360(0.09)= 32.4, which rounds to 32.
