[外语类试卷]GRE（QUANTITATIVE）模拟试卷29及答案与解析.doc

1、GRE（ QUANTITATIVE）模拟试卷 29及答案与解析 0 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices: (A)Quantity A is greater. (B)Quantity B is greater. (C)The two quantities are equal.

2、(D)The relationship cannot be determined from the information given. A symbol that appears more than once in a question has the same meaning throughout the question. 1 Points R, S, and T lie on a number line, where S is between R and T. The distance between R and S is 6, and the distance between R a

3、nd T is 15. 2 S is a set of 8 numbers, of which 4 are negative and 4 are positive. 3 The length of each side of rectangle R is an integer, and the area of R is 36. 4 x =(z-1)2 y =(z+1)2 5 x, y, and z are the lengths of the sides of a triangle. 6 At a club meeting, there are 10 more club members than

4、 nonmembers. The number of club members at the meeting is c. 7 n is a positive integer that is greater than 3 and has d positive divisors. 8 m = 1032 + 2 When m is divided by 11, the remainder is r. Quantity A Quantity B r 3 9 xy = 8 and x = y-2. Quantity A Quantity B y 0 10 The figure above shows t

5、he standard normal distribution, with mean 0 and standard deviation 1, including approximate percents of the distribution corresponding to the six regions shown.The random variable Y is normally distributed with a mean of 470, and the value Y= 340 is at the 15th percentile of the distribution. Of th

6、e following, which is the best estimate of the standard deviation of the distribution? （ A） 125 （ B） 135 （ C） 145 （ D） 155 （ E） 165 11 In 1993 the number of Valentines Day cards sold was approximately how many times the number of Thanksgiving cards sold? （ A） 20 （ B） 30 （ C） 40 （ D） 50 （ E） 60 12 Th

7、e area of circle W is 16 and the area of circle Z is 4. What is the ratio of the circumference of W to the circumference of Z ? （ A） 2 to l （ B） 4 to l （ C） 8 to l （ D） 16 to 1 （ E） 32 to 1 13 In the xy-plane, a quadrilateral has vertices at(-1, 4),(7,4),(7, -5), and(-1, -5). What is the perimeter o

8、f the quadrilateral? （ A） 17 （ B） 18 （ C） 19 （ D） 32 （ E） 34 14 The table above shows the frequency distribution of the heights of 80 students. What is the least possible range of the heights of the 80 students? （ A） 15 （ B） 16 （ C） 20 （ D） 24 （ E） 28 15 Which of the following functions/defined for

9、all numbers x has the property that f(-x)= -f(x)for all numbers x ? （ A） （ B） （ C） f(x)= x2(x2-1) （ D） f(x)= x(x3-1) （ E） f(x)=x2(x3-1) 16 If 10x equals 0.1 percent of 10y, where x and y are integers, which of the following must be true? （ A） y=x+2 （ B） y = x + 3 （ C） x = y + 3 （ D） y =1,000x （ E） x

10、= 1,000y 17 A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver, and white cars. During the next month, 70 percent of the black cars, 80 percent of the blue cars, 30 percent of the silver cars, and 40 percent of the white

11、 cars were sold. What percent of the cars in the shipment were sold during that month? （ A） 36% （ B） 50% （ C） 55% （ D） 60% （ E） 72% 18 If an investment of P dollars is made today and the value of the investment doubles every 7 years, what will be the value of the investment, in dollars, 28 years fro

12、m today? （ A） 8P4 （ B） P4 （ C） 16P （ D） 8P （ E） 4P 19 The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Which of the following numbers of hours are within 2 standard deviations of the mean o

13、f the distribution? Indicate all such numbers. A 2 B 5 C 10 D 14 E 16 F 20 20 In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following number

14、s are in the sequence? Indicate all such numbers. A 5 B 8 C 11 D 16 E 22 F 35 21 In a single line of people waiting to purchase tickets for a movie, there are currently 10 people behind Shandra. If 3 of the people who are currently in line ahead of Shandra purchase tickets and leave the line, and no

15、 one else leaves the line, there will be 8 people ahead of Shandra in line. How many people are in the line currently? _people 22 When the decimal point of a certain positive decimal number is moved six places to the right, the resulting number is 9 times the reciprocal of the original number. What

16、is the original number? 23 In 1993 a card company that sold 40 percent of the Mothers Day cards that year priced its cards for that occasion between $1.00 and $8.00 each. If the revenue from sales of the companys Mothers Day cards in 1993 was r million dollars, which of the following indicates all p

17、ossible values of r ? （ A） 155 3, so the successive term, 2b - 3, is greater than the term before it, b,if b 3. Since the first term of the sequence is 5, which is greater than 3, each successive term is greater than the term before it.Thus the correct answer consists of Choices A, C, and F.This exp

18、lanation uses the following strategies.Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation Strategy 7: Find a Pattern 21 【正确答案】 22 【试题解析】 You are given that if 3 people currently ahead of Shandra leave the line and no one else leaves, there will be 8 people ahead of Shandra

19、. This means that currently there are 11 people ahead of Shandra. In addition to the 11 people currently ahead of Shandra in line, Shandra herself is in line, and there are currently 10 people behind Shandra. Therefore the total number of people in line currently is 11 + 1+10, or 22. The correct ans

20、wer is 22. This explanation uses the following strategy. Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation 22 【正确答案】 0.003 【试题解析】 Moving the decimal point of a positive decimal number, n, six places to the right is equivalent to multiplying n by 106. In the question, you

21、are given that the result of such a change is 9 times the reciprocal of the original number, or 9 .Therefore n(106)= 9 . You can solve this equation for n as follows. n = 0.003The correct answer is 0.003.This explanation uses the following strategies.Strategy 1: Translate from Words to an Arithmetic

22、 or Algebraic Representation Strategy 5: Simplify an Arithmetic or Algebraic Representation 23 【正确答案】 E 【试题解析】 According the table, 155 million Mothers Day cards were sold in 1993. The card company that sold 40 percent of the Mothers Day cards sold(0.4)(155)million, or 62 million cards. Since that c

23、ompany priced the cards between $1.00 and $8.00 each, the revenue, r million dollars, from selling the 62 million cards was between($1.00)(62)million and($8.00)(62)million, or between $62 million and $496 million; that is, 62 r 496. Thus the correct answer is Choice E. This explanation uses the foll

24、owing strategies. Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation Strategy 8: Search for a Mathematical Relationship 24 【正确答案】 D 【试题解析】 According to the bar graph, the annual revenue from a

25、ll greeting card sales in 1990 was approximately $4.5 billion, and the corresponding total in 1993 was approximately $5.75 billion. Therefore the percent increase from 1990 to 1993 was approximately (100%), or approximately 28%. The correct answer is Choice D.This explanation uses the following stra

26、tegies.Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation Strategy 9: Estimate 25 【正确答案】 C， D， E， F， G， H 【试题解析】 According to the bar graph, the total annual revenue in 1993 was approximately

27、$5.75 billion. In the question, you are given that the average price per card for all greeting cards sold was $1.25. Therefore the total number of cards sold for all occasions was billion, or 4.6 billion.According to the table, the total number of cards sold in 1993 for the ten occasions shown was 3

28、.9 billion. So the number of cards sold for occasions other than the ten occasions shown, in billions, was 4.6 - 3.9, or 0.7 billion. Note that 0.7 billion equals 700 million. From the table, you can see that less than 700 million cards were sold for each of six of the occasions in the answer choice

29、s: Easter, Mothers Day, Fathers Day, Graduation, Thanksgiving, and Halloween. Thus the correct answer consists of Choices C, D, E, F, G, and H.This explanation uses the following strategies.Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation Strategy 8: Search for a Mathematical Relationship Strategy 9: Estimate