1、GRE（ QUANTITATIVE）模拟试卷 21及答案与解析 1 n=l 19 Column A Column B The number of distinct 10 positive factors of n （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （ C） if the two quantity are equal （ D） if the relationship cannot be determined from the information giv
2、en 2 Richards salary, which is greater than $10,000, is 75 percent of Sandras salary. Teds salary is 80 percent of Richards salary. Column A Column B Sandras salary Teds salary （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （ C） if the two quantity are equal
3、（ D） if the relationship cannot be determined from the information given 3 x and y are positive numbers.Column A Column B 0 （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （ C） if the two quantity are equal （ D） if the relationship cannot be determined from th
4、e information given 4 p, q, r, and s are the coordinates of the points indicated on the number line.Column A Column Bp+q r+s （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （ C） if the two quantity are equal （ D） if the relationship cannot be determined from t
5、he information given 5 In 1988, Mr. Smiths annual income was greater than Mrs. smiths annual income. In 1989, Mr. Smiths annual income decreased by p percent, where as Mrs. Smiths annual income increased by p percent (p0) Column A Column B Mr. and Mrs. Smiths combined Mr. and Mrs. Smiths combined an
6、nual income in 1988 annual income in 1989 （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （ C） if the two quantity are equal （ D） if the relationship cannot be determined from the information given 6 SURVEY OF PETS IN HOUSEHOLDS IN AN APARTMENT COMPLEX Column
7、A Column BThe total number of households with at least one pet 85 （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （ C） if the two quantity are equal （ D） if the relationship cannot be determined from the information given 7 Fields X and Y are to be enclosed wi
8、th fencing that costs $ 24 per meter.Column A Column BThe cost of the fencing needed to enclose X The cost of the fencing needed to enclose Y （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （ C） if the two quantity are equal （ D） if the relationship cannot be
9、determined from the information given 8 The boundaries of regions X and Y are parallelograms. Column A Column B The area of X if its sides have lengths 6 and 10 The area of Y if its sides have lengths 5 and 12 （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （
10、C） if the two quantity are equal （ D） if the relationship cannot be determined from the information given 9 The shaded region is rectangularColumn A Column BThe perimeter of the shaded region XZ+YZ （ A） if the quantity in Column A is greater （ B） if the quantity in Column B is greater （ C） if the tw
11、o quantity are equal （ D） if the relationship cannot be determined from the information given 10 Board A measures between 2.15 feet and 2.25 feet in length; board B measures between 2.20 feet and 2.30 feet in length. Column A Column B The length of board A The length of board B （ A） if the quantity
12、in Column A is greater （ B） if the quantity in Column B is greater （ C） if the two quantity are equal （ D） if the relationship cannot be determined from the information given 11 Directions for Quantitative Comparison Questions: Some of the following questions give you two quantities, one in Column A
13、 and one in Column B, Compare the two quantities and choose one of the following answer choices: （ A） if the quantity in Column A is greater; （ B） if the quantity in column B is greater; （ C） if the two quantities are equal; （ D） if you cannot determine the relationship based on the given informatio
14、n 11 Directions for Quantitative Comparison Questions: Some of the following questions give you two quantities, one in Column A and one in Column B, Compare the two quantities and choose one of the following answer choices: A if the quantity in Column A is greater; B if the quantity in column B is g
15、reater; C if the two quantities are equal; D if you cannot determine the relationship based on the given information 15 72-32= 16 What is the median of the data given below? 8, 13, 9, 8, 15, 14, 10 17 x-2y=14 x-4y=-8 18 A certain spiral staircase is designed so that each step after the first one is
16、turned 20 counterclockwise from the one immediately below it, how many of the steps make up 2.5 complete revolutions? （ A） 18 （ B） 36 （ C） 38 （ D） 45 （ E） 50 19 The sum of the first 50 positive integers is 1,275. What is the sum of the integers from 51 to 100, inclusive? （ A） 2525 （ B） 2550 （ C） 325
17、 （ D） 3775 （ E） 5050 20 In the sum above, if X and Y each denote one of the digits from 0 to 9, inclusive, then X = ? （ A） 9 （ B） 5 （ C） 3 （ D） 1 （ E） 0 21 If the cost of a long-distance phone call is c cents for the first minute and 2/3 c cents for each additional minute, what is the cost, in cents
18、, of a 10-minute call of this type? （ A） 5/3 c （ B） 6c （ C） 20/3 c （ D） 7c （ E） 23/3 c 22 A school bus has 10 double seats in each of 2 rows. Two students can sit in each double seat. If an empty bus starts out and makes two stops, picking up three times the number of students at the second stop as
19、at the first stop, and if the bus is then filled to seating capacity, how many students got on the bus at the second stop? （ A） 5 （ B） 10 （ C） 15 （ D） 20 （ E） 30 23 Working alone, a small pump takes twice as long as a large pump takes to fill an empty tank. Working together at their respective const
20、ant rates, the pumps can fill the tank in 6 hours. How many hours would it take the small pump to fill the tank working alone? （ A） 8 （ B） 9 （ C） 12 （ D） 15 （ E） 18 24 A total of 40 tourists went on a trip. If 18 of the tourists visited site X, 18 visited site Y, and 8 visited both site X and site Y
21、, how many visited neither site X nor site Y? （ A） 4 （ B） 10 （ C） 12 （ D） 22 （ E） 28 25 The rectangular rug shown in the figure above has a floral border 1 foot wide on all sides. What is the area, in square feet, of that portion of the rug that excludes the border? （ A） 28 （ B） 40 （ C） 45 （ D） 48 （
22、 E） 53 26 If B is the midpoint of line segment AD and C is the midpoint of line segment BD, what is the value of AB/AC? （ A） 3/4 （ B） 2/3 （ C） 1/2 （ D） 1/3 （ E） 1/4 27 A ball has been rolling at the constant rate x cm/min. How many centimeters has it roiled in the last y seconds? 28 If A is the poin
23、t (-4, 1) and B is the point (2, 1), what is the area of the circle which has AB as a diameter? （ A） 3 （ B） 6 （ C） 9 （ D） 12 （ E） 36 29 In 1987 the average (arithmetic mean) population of the three most populous of the ten selected states was most nearly equal to （ A） 18 million （ B） 19 million （ C）
24、 20 million （ D） 21 million （ E） 22 million 30 FOREIGN TRADE OF COUNTRY X, 19641980 (in United States dollars) The following 2 question refer to the data above. 30 In 1974 the dollar value of imports was approximately what percent of the dollar value of exports? （ A） 4% （ B） 17% （ C） 27% （ D） 79% （
25、E） 367% 31 If it were discovered that the import dollar amount shown for 1978 was incorrect and should have been $ 5. 3 billion instead, then the average ( arithmetic mean) import dollar amount per year for the 17 years would be how much less? （ A） $100 million （ B） $53 million （ C） $47 million （ D）
26、 $17 million （ E） $7 million 32 The following 3 question refer to the data above. 32 The median score for the class is （ A） 76 （ B） 77 （ C） 78 （ D） 79 （ E） 80 33 If 5 points were added to each score, which of the following would NOT be affected? （ A） The highest score （ B） The mean for all scores （
27、C） The median for the seniors scores （ D） The mode for the juniors scores （ E） The standard deviation for all scores 34 If the mean score for the juniors were known, which of the following could be calculated from the information given? I The range of the scores for the seniors II The median score for the juniors III The mean score for the seniors （ A） None （ B） I only （ C） III only （ D） I and II （ E） II and III GRE（ QUANTITATIVE）模拟试卷 21答案与解析
