[外语类试卷]GMAT（QUANTITATIVE）数学模拟试卷3及答案与解析.doc

1、GMAT（ QUANTITATIVE）数学模拟试卷 3及答案与解析 一、 QUANTITATIVE 1 Jims Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles? （ A） $3.15 （ B） $4.45 （ C） $4.80 （ D） $5.O5 （ E） $5.4O

2、 2 If the area of a square with sides of length 8 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters? （ A） 4 （ B） 8 （ C） 12 （ D） 16 （ E） 18 3 A certain lab experiments with white and brown mice only. In one experiment, 2

3、/3 of the mice are white. If there are 13 brown mice in the experiment, how many mice in total are in the experiment? （ A） 39 （ B） 33 （ C） 26 （ D） 21 （ E） 10 4 If , where a, b, and c are each equal to 0 or 1, then x could be each of the following EXCEPT: 5 Fifty applicants for a job were given score

4、s from 1 to 5 on their interview performance. Their scores are shown in the table above. What was the average score for the group? （ A） 2.79 （ B） 2.86 （ C） 2.91 （ D） 2.99 （ E） 3.03 5 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certa

5、in data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must ind

6、icate whether . Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. . Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. . BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. . EACH statement ALONE is sufficient. .

7、Statements (1) and (2) TOGETHER are NOT sufficient. 6 Carrie, Lisa, and Betty all make purchases at a music store that sells all records for a certain price and all CDs for a certain price. How much does Carrie pay for 1 record and 2 CDs? (1) Lisa bought 3 records for $22.50. (2) Betty bought 2 reco

8、rds and 4 CDs for $55.00. 7 N and P are points on the number line below 20. Is P closer to 10 than N is? (1) P is greater than the average of 10 and N. (2) 8 What is the area of the rectangular region depicted above with sides A and B and diagonal C? (1) C2=9+A2 (2) A+B=7 9 Do at least 20 percent of

9、 the people in country X who are over the age of 25 possess a college diploma? (1) In country X, among the population over the age of 25, 26 percent of the male population and 16 percent of the female population possess college diplomas. (2) In country X, women account for 55 percent of the total po

10、pulation. 10 If and s0, what is the value of C? (1) r=4s (2) 11 If 8a=9b and ab0, what is the ratio of ? 12 Two hundred multiples of seven are chosen at random, and 300 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd? （ A） 20% （ B） 25% （ C）

11、40% （ D） 5O% （ E） 80% 13 In triangle ABC above, if BAD and ADB have measures of 4n, ACB has a measure of n, and DBC has a measure of 45, what is the measure of ABC? (Figure not necessarily drawn to scale.) （ A） 45 （ B） 60 （ C） 90 （ D） 105 （ E） 120 14 A coed soccer team has W women and M men on the t

12、eam. If 4 women and 2 men are added to the team roster, and if one person on the team is selected at random to serve as team captain, then the probability that the team captain will be a woman can be represented as 15 What is the twenty-third decimal to the right in the fraction ? （ A） 1 （ B） 2 （ C）

13、 3 （ D） 4 （ E） 5 16 If Scott has earned x dollars by working 3 days a week at a constant daily rate for W weeks, which of the following represents his daily wage? 17 18 In a certain conservative mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested in

14、 highly rated corporate bonds. If at least $1.4 million in this fund is invested in highly rated corporate bonds, what is the smallest possible total value for the mutual fund? （ A） $4 million （ B） $5 million （ C） $6 million （ D） $7 million （ E） $8 million 19 If the diameter of a circle is 14, then

15、the area of the circle is （ A） 7 （ B） 14 （ C） 28 （ D） 49 （ E） 196 19 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the qu

16、estion. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether . Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. . Statement (2) ALON

17、E is sufficient, but statement (1) alone is not sufficient. . BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. . EACH statement ALONE is sufficient. . Statements (1) and (2) TOGETHER are NOT sufficient. 20 If a is an integer, is b an integer? (1) The average (arith

18、metic mean) of a and b is an integer. (2) The average (arithmetic mean) of a, b, and b+4 is a. 21 Did Alberto pay more than N dollars for his new stereo, excluding the sales tax? (1) The price Alberto paid for the stereo was 1.05N, including the sales tax. (2) Alberto paid $35 in sales tax on the pu

19、rchase of his new stereo. 22 Is r 1? (1) r 0 (2) r2 1 23 In the figure above, with B a point on the line AC, what is the measure of XBZ? (Figure not necessarily drawn to scale.) (1) BX bisects ABY, which is a right angle, and BZ bisects YBC. (2) ABX= XBY= YBZ= ZBC 24 If P and Q are both positive, wh

20、at is the value of P? (1) PQ is a positive multiple of 5. (2) 300 percent of P equals 500 percent of Q. 25 MegaTech and UltraCorp are considering a merger to form the MegaUltraTech Corporation. Does MegaTech have more employees than UltraCorp? (1) The average (arithmetic mean) age of UltraCorp emplo

21、yees is 32.8, while the average age of MegaTech employees is 27.2. (2) If the merger goes through and all employees from both companies remain employed, the average (arithmetic mean) age of the MegaUltraTech employees will be 31.4. 26 In a sample of 800 high school students in which all students are

22、 either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students? （ A） 42 （ B） 48 （ C） 56 （ D） 208 （ E） 256 27 The time it took car P to travel 600 mile

23、s was 2 hours less than the time it took car R to travel the same distance. If car Ps average speed was 10 miles per hour greater than that of car R, what was car Rs average speed, in miles per hour? （ A） 40 （ B） 50 （ C） 60 （ D） 70 （ E） 80 28 For any numbers a and b, ab=ab(3-b). If a and ab both rep

24、resent positive numbers, which of the following could be a value of b? （ A） -5 （ B） -2 （ C） 2 （ D） 4 （ E） 7 29 Marcella has 25 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left? （ A） 21 （ B） 20 （ C） 19 （ D） 16 （ E） 15 30 If Finn was 18

25、 months old one year ago, how old was he, in months, x months ago? （ A） x-30 （ B） x-12 （ C） 18-x （ D） 24-x （ E） 30-x 31 A restaurant orders 150 kg of pumpkins from the farmers market. The farmer fills the order with 23 pumpkins. The average mass of the first 20 pumpkins is 6.5 kg. What must be the m

26、inimum average mass of the remaining 3 pumpkins to fill the order? （ A） 5.5 kg （ B） 5.67 kg （ C） 6.67 kg （ D） 7 kg （ E） 11.5 kg 32 The square root of 636 is between which set of integers? （ A） 24 and 25 （ B） 25 and 26 （ C） 26 and 27 （ D） 27 and 28 （ E） 28 and 29 33 In a forest 150 deer were caught,

27、tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, an

28、d if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest? （ A） 150 （ B） 750 （ C） 1,250 （ D） 1,500 （ E） 2,500 33 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which cert

29、ain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must in

30、dicate whether . Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. . Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. . BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. . EACH statement ALONE is sufficient. .

31、 Statements (1) and (2) TOGETHER are NOT sufficient. 34 If 5a=9b=15c, what is the value of a+b+c? (1) 3c-a=5c-3b (2) 6cb=10a 35 Stanley has gained 8 pounds a year ever since he turned 18. How much weight has Stanley gained since he turned 18? (1) Stanley now weighs twice what he weighed when he turn

32、ed 18. (2) Stanley is now twice the age he was when he turned 18. 36 What is the value of the greater of two numbers if one of the numbers is three times the smaller number? (1) One of the numbers is 12. (2) The sum of the two numbers is 16. 37 If is a positive integer, what is the value of r? (1) r 70 (2) 7 GMAT（ QUANTITATIVE）数学模拟试卷 3答案与解析