1、GRE（ QUANTITATIVE）模拟试卷 26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 gre
2、ater;(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
3、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 the relationship based on the given information. 15 While riding a bicycle, a person traveled
4、5 blocks in 2 minutes. At this rate, how many blocks will the person travel in 16 minutes? （ A） 8 （ B） 10 （ C） 16 （ D） 32 （ E） 40 16 If m-p=4, and n+p=18, then m+n = （ A） 14 （ B） 18 （ C） 22 （ D） 26 （ E） 30 17 What is the largest prime factor of 636?_ 18 In the figure above, RS= ST and the coordinate
5、s of S are(k,4). What is the value of k? （ A） -4 （ B） -2 （ C） 0 （ D） 2 （ E） 4 19 Triangle ABC shown above is an isosceles triangle.Which of the following statements individually provide(s)sufficient additional information to determine the measure of angle B?Select all such statements. （ A） The measu
6、re of angle A is 80. （ B） The measure of angle C is 50. （ C） The measure of angle A is 80 and the measure of angle C is 50. 20 When the average of a list of course grades is multiplied by the number of courses, the result is n. What does n represent? （ A） Half the number of courses （ B） Half the sum
7、 of course grades （ C） The number of courses （ D） The average of the course grades （ E） The sum of the course grades 21 If the volume of a cube is 64, what is the surface area of the cube? （ A） 16 （ B） 24 （ C） 64 （ D） 72 （ E） 96 22 To get to Kayties house, Camilla must ride her bicycle 8 miles south
8、 and then 6 miles west. What is the shortest distance, in miles, between the two houses? _ miles 23 The larger of two numbers exceeds three times the smaller number by The sum of twice the larger and 4 times the smaller is 7If a is the smaller number, which equation below determines the correct valu
9、e of x? （ A） 4(3a + 2)+ 2a=73 （ B） 4(3a+2)+ 2a=73 （ C） (6a+2)+4a=73 （ D） 2(3a+2)+4a=73 （ E） 2(3a-2)+4a = 73 24 If x is positive and y is two greater than the square of x, which of the following expresses x in terms of y? （ A） x= （ B） x= （ C） x= （ D） x=y2 + 2 （ E） x=y2-2 25 A shoe store charges $39 f
10、or a pair of a certain type of sneaker. This price is 30% more than the amount it costs the shoe store to buy one pair of these sneakers. A sales associate can purchase a pair of these sneakers at 20% off the stores cost. How much would an associate pay for a pair of these sneakers(excluding sales t
11、ax)? （ A） $31.20 （ B） $25.00 （ C） $24.00 （ D） $21.84 （ E） $19.50 26 If Jason traveled 30 miles in 6 hours and Becky traveled three times as far in half the time, what was Beckys average speed, in miles per hour? （ A） 5 （ B） 15 （ C） 30 （ D） 45 （ E） 90 27 In the figure above, XY- YZ, and XZ is a diame
12、ter of the circle, having a length of 10 inches. What is the area of AXYZ, in square inches?_in2 28 The average of x and y is 16 and the average of x, y, and z is 2What is the value of z? （ A） 16 （ B） 22 （ C） 34 （ D） 45 （ E） 66 29 A colored marble is to be chosen at random from a bag of marbles. The
13、 probability that the marble chosen will be green is 4/Which of the following numbers could NOT be the total number of marbles in the bag? Select all such numbers. （ A） 64 （ B） 72 （ C） 110 30 When x is divided by 7, the remainder is What is the remainder when 2x is divided by 7?_ 31 The length of a
14、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 31 Recommended Maintenance Schedule for a Certain Auto(Given in Miles)32 The Recommended Maintenance Schedule is the
15、same for which of the following parts, regardless of city or highway conditions? Select all such parts that apply. （ A） Motor Oil （ B） Transmission Fluid （ C） Power Steering Fluid （ D） Main Belt （ E） Radiator Hoses 33 If you drive primarily under city driving conditions, which of the following would
16、 be an appropriate mileage at which to change the motor oil? （ A） 4,500 （ B） 4,000 （ C） 3,800 （ D） 3200 （ E） 2400 33 34 When construction is completed in Daisy Hill Subdivision there will be a total of 50 homes. Approximately how many homes have not yet been completed? （ A） 24 （ B） 26 （ C） 32 （ D） 3
17、7 （ E） 44 35 When construction is completed in Daisy Hill Subdivision there will be a total of 50 homes. What is the approximate ratio of new homes currently completed to new homes currently under construction? （ A） 1:2 （ B） 13:21 （ C） 5:8 （ D） 21:25 （ E） 4:3 35 36 According to the graph above, what
18、 was the percent increase in the median price of a new automobile from American automakers from 1985-2005? （ A） 20% （ B） 37.5% （ C） 50% （ D） 62.5% （ E） 94% 36 Mandy has a garden that is shaped like a right triangle, as shown below. 37 Suppose Mandy created another garden with the same dimensions adj
19、acent to the short side of her current garden, as shown below:What is the total area of Mandys gardens in square feet? （ A） 864 （ B） 1,728 （ C） 3,456 （ D） 41472 （ E） 82944 38 A bag of fertilizer costs $8.25 and will cover approximately 300 square feet. Which of the following is closest to the cost,
20、in dollars, of fertilizing the original garden? （ A） $20.00 （ B） $25.00 （ C） 30 （ D） 40 （ E） 50 39 To determine how much fencing to buy to enclose her original garden, Mandy calculates the gardens perimeter. What is the perimeter, in feet? （ A） 60 （ B） 108 （ C） 132 （ D） 144 （ E） 168 40 Mandy wants t
21、o extend each of the side lengths of her original garden by 2 feet. What will the total area of her garden be, in square feet? （ A） 176 （ B） 782 （ C） 864 （ D） 950 （ E） 1,900 GRE（ QUANTITATIVE）模拟试卷 26答案与解析 1 【正确答案】 B 【试题解析】 The correct answer is B. To answer this question correctly you must remember
22、that the sum of the interior angles of a triangle is 180. Therefore, x= 180-65-38, or 77 Therefore, Quantity B(87)is greater than Quantity A(77). 2 【正确答案】 A 【试题解析】 The correct answer is A. The sum of the values in Quantity A(91)is greater than the sum of the values in Quantity B(90), so the average
23、of Quantity A is greater than the average of Quantity B. 3 【正确答案】 A 【试题解析】 The correct answer is A, When x=4, Quantity A is equivalent to 3(4)4, or 3(256); Quantity B = 750, which is equivalent to 3(250). Therefore, Quantity A is greater than Quantity B. 4 【正确答案】 C 【试题解析】 The correct answer is C. To
24、 solve this problem remember that the volume is calculated by multiplying the length by the width by the height(1wh). Set up an equation to find the length of the box: l56 = 120 l30 = 120 l=4 The quantities are equal. 5 【正确答案】 B 【试题解析】 The correct answer is B. The probability of tossing two tails in
25、 a row is . The probability of pulling out the red piece of candy is 4 out of 12, which equals 1/3. 6 【正确答案】 C 【试题解析】 The correct answer is C. To answer this question, simply calculate the number of hours in a week(247, or 168)and the number of months in 14 years(1214, or 168). The quantities are eq
26、ual. 7 【正确答案】 C 【试题解析】 The correct answer is C. The test scores in Quantity B are each 10 points higher than the scores listed in Quantity A. The mean for Quantity B would be 10 points greater than the mean for Quantity A, but the standard deviations would remain the same. 8 【正确答案】 C 【试题解析】 The corr
27、ect answer is C. In order to calculate 15 percent of 90, multiply 90 by 0.15, the decimal equivalent of 15%. Likewise, to calculate 90 percent of 15, multiply 15 by 0.90, the decimal equivalent of 90 percent: (0.15)(90)= 13.5 (0.90)(15)= 13.5 The quantities are equal. 9 【正确答案】 D 【试题解析】 The correct a
28、nswer is D. Quantity A simplifies to n17, while Quantity B simplifies to n10. However, the greater quantity depends on the value of n. If the value is positive, then n17 is greater, but if n is negative, then n10 is the greater value. Since the quantities depend on the value assigned to the variable
29、, the relationship cannot be determined from the information given. 10 【正确答案】 B 【试题解析】 The correct answer is B. By the Pythagorean Theorem, the rectangle measures 6 cm by 8 cm(a 6-8-10 triangle), making its perimeter 28 cm. The equilateral triangle contains three sides that each measure 10 cm, makin
30、g its perimeter 30 cm and, therefore, greater than the perimeter of the rectangle. 11 【正确答案】 A 【试题解析】 The correct answer is A. To answer this question, first multiply the bottom equation by -3 to get -9x-21y=-246. Now you can add the two equations and eliminate one of the variables, as follows: (9x-
31、2y=16) +(-9x-21y=-246) - 23y=-230 y=10 Substitute 10 for y in the first equation and solve for x: 9x-2(10)= 16 9x-20=16 9x=36 x=4 Quantity A(x+y)is equivalent to 4 + 10, or 14, and Quantity B = 10; therefore, Quantity A is greater than Quantity B. 12 【正确答案】 B 【试题解析】 The correct answer is B. To solve
32、 this problem, plot the points in the coordinate plane, as shown below: AC is the hypotenuse of the right triangle that you just created, and AB is a side; the hypotenuse is always longer than either of the sides, so Quantity B(AC)is greater than Quantity A(AB). 13 【正确答案】 D 【试题解析】 The correct answer
33、 is D. Because you do not know the value of x, you cannot determine a relationship between the two quantities. For example, when x=3, the quantities are equal. However, when x is an integer greater than 3, Quantity B is greater. 14 【正确答案】 D 【试题解析】 The correct answer is D. The values of p and r are n
34、ot given, so you cannot determine the relationship between Quantity A and Quantity B. 15 【正确答案】 E 【试题解析】 The correct answer is E. You are given that the person traveled 5 blocks in 2 minutes, which means that the distance traveled in 16 minutes can be found using a proportion. If x represents the nu
35、mber of blocks traveled in 16 minutes, then 5/2 = x/16. Cross-multiply and solve for x, as shown below: 5/2=x/16 2x=80 x=40 16 【正确答案】 C 【试题解 析】 The correct answer is C. You are given the values of m-p and n+p. If you note that(m-p)+(n+p)=m-p+n+p, which equals m+n, then this value must be 4 + 18, whi
36、ch is 22. 17 【正确答案】 53 【试题解析】 The correct answer is 53. The best way to determine the prime factors of a large number is to use a factor tree. Start with 636, and divide by any available prime factor: for instance, two factors of 636 are 2 and 318. Next, 318 is divisible by the prime number 3, leavi
37、ng 106. Finally, 106 is divisible by 2, which leaves you with 53. 18 【正确答案】 A 【试题解析】 The correct answer is A. To solve this problem, you need to know how to graph xy-coordinates. Because point k is in the upper left quadrant, it must be negative. Eliminate answer choices C, D, and E. You are given t
38、hat RS = ST. Because the coordinates of S are(k, 4), RS must equal 4 units. Therefore, ST must equal 4 units, and point S must be 4 units to the left along the x-axis. The x-coordinate, k, must be -4. 19 【正确答案】 C 【试题解析】 The correct answer is C. An isosceles triangle has two congruent sides, and the
39、angles opposite those sides are also congruent. In any triangle, the total of all three interior angles is 180 degrees. Because you do not know which sides are congruent, neither(A)nor(B)alone is sufficient to answer the question; angle B could be either 80 or 50. However, if you take both statement
40、s together, as in statement(C), you know that angle B must equal 50, because 180o-80-50=50. 20 【正确答案】 E 【试题解析】 The correct answer is E. You are given that the product of the average of a list of course grades and the total number of courses is n. Recall that average, A, is equal to the sum of the co
41、urse grades, G, divided by the number of courses, C; thus A = G/C. Because n is the product of the number of courses, C, and the average of the course grades, A, n=AC. Further, because A = G/C, multiplying both sides by C yields G=AC. Finally because n=AC and G=AC, it follows that n = G. Thus n is t
42、he sum of the course grades. 21 【正确答案】 E 【试题解析】 The correct answer is E. Recall that the volume of a cube is equivalent to side side side, or s3. If the volume is 64, then s3 = 64, and s=4. Because there are 6 faces on a cube, the surface area will equal 6 times one of the surfaces, which are square
43、s with side s; the area of one face is s2. Therefore, the total surface area of the cube is 6s2, or 6(42), or 6(16), which equals 96. 22 【正确答案】 10 【试题解析】 The correct answer is 10. To quickly answer this question, draw a figure representing Camillas travel: The shortest distance between the houses is
44、 a straight line, which corresponds to the hypotenuse: Because this is a 3-4-5 right triangle, the hypotenuse is 10. 23 【正确答案】 D 【试题解析】 The correct answer is D. To answer this question, carefully convert the given information into its mathematical equivalent. The larger number is 3a+2; you are given
45、 that the smaller number is a. Therefore, the equation is 2(3a+2)+4a=73. 24 【正确答案】 B 【试题解析】 The correct answer is B. When x is positive and y is two greater than the square of x, y=x2 + 2. To find x in terms of y, solve the equation y=x2 + 2 for x. First, subtract 2 from both sides to get x2=y-2. Th
46、en take the square root of both sides such that y-2 is thought of as a single quantity: x = . 25 【正确答案】 C 【试题解析】 The correct answer is C. First recognize that $39 is 30% more than the cost of the sneakers for the store. This can be represented as 130%, or 1.3. Therefore, the store pays $39/1.3, or $
47、30 for a pair of sneakers. A sales associate pays 80% of this price: $30(0.8)=$24. 26 【正确答案】 C 【试题解析】 The correct answer is C. You are given that Jason traveled 30 miles in 6 hours and that Becky traveled three times as far in half the time; Becky traveled 30x3 or 90 miles in 6 , or 3 hours. Therefo
48、re, Becky traveled 90/3, or 30 miles per hour. 27 【正确答案】 25 【试题解析】 The correct answer is 25. The formula for the area of a triangle is (b)(h). The base of the triangle is 10(the diameter of the circle)and the height of the triangle is 5(the radius of the circle). Therefore, the area is (10)(5)= 25.
49、28 【正确答案】 C 【试题解析】 The correct answer is C. You are given that the average of x and y is 16. Therefore,(x+y)2 = 16, which means that x+y=32. It is not important to know what x and y equal individually, only to know that their sum is 32. Given that the average of x, y, and z is 22, then(x+y+z)+ 3 = 22, and x+y+z=66. Since x+y=32, then 32+z=66, and z=34. 29 【正确答案】 A, C 【试题解析】 The correct answer is A and C. You are given that the probability of drawing a green marble is 4/9 or 4 out of 9. This means that the total number of marbles in the bag
