GWD31MATH6.docx

1、GWD31MATH6Math Section-Q1:A certain companys profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The companys profit in 1997 was what percent greater than its profit in 1995?A. 5%B. 18%C. 33%D. 35%E. 38%Answer: -Q2:If

2、every car sold last week at a certain used-car dealership was either a coupe or a sedan, what was the average (arithmetic mean) sale price for all the cars that were sold at the dealership last week?(1) The average sale price for the sedans that were sold at the dealership last week was $10,600.(2)

3、The average sale price for the coupes that were sold at the dealership last week was $8,400. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but

4、 NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer: -Q3:Pat, Kate, and Mark charged a total of 162 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark,

5、 how many more hours did Mark charge to the project than Kate?A. 18B. 36C. 72D. 90E. 108Answer: -Q4:What is the greatest prime factor of 2100 - 296?A. 2B. 3C. 5D. 7E. 11Answer: -Q5:If b, c, and d are constants and x2 + bx + c = (x + d)2 for all values of x, what is the value of c?(1) d = 3(2) b = 6

6、A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1

7、) and (2) TOGETHER are NOT sufficient.Answer: -Q6:If a, b, k, and m are positive integers, is ak a factor of bm?(1) a is a factor of b.(2) k m A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficie

8、nt.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer: -Q7:A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics departmen

9、t and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?A. 42B. 70C. 140D. 165E. 315Answer: -Q8: R S T Q U P

10、 V W Note: Figure not drawn to scale.In the figure above, the area of square region PRTV is 81, and the ratio of the area of square region XSTU to the area of square region PQXW is 1 to 4. What is the length of segment RS?A. 5B. 5.5C. 6D. 6.5E. 7Answer: -Q9:If the average (arithmetic mean) of four d

11、ifferent numbers is 30, how many of the numbers are greater than 30?(1) None of the four numbers is greater than 60.(2) Two of the four numbers are 9 and 10, respectively. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statem

12、ent (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer: -Q10:If each of the students in a certain mathematics class is either a junior or

13、a senior, how many students are in the class?(1) If one student is to be chosen at random from the class to attend a conference, the probability that the student chosen will be a senior is 4/7.(2) There are 5 more seniors in the class than juniors. A. Statement (1) ALONE is sufficient, but statement

14、 (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer: -Q11:

15、 Note: Not drawn to scale.A rectangular picture is surrounded by a boarder, as shown in the figure above. Without the boarder the length of the picture is twice its width. If the area of the boarder is 196 square inches, what is the length, in inches, of the picture, excluding the boarder?A. 10B. 15

16、C. 30D. 40E. 60Answer: -Q12:Each week Connie receives a base salary of $500, plus a 20 percent commission on the total amount of her sales that week in excess of $1,500. What was the total amount of Connies sales last week?(1) Last week Connies base salary and commission totaled $1,200.(2) Last week

17、 Connies commission was $700. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE

18、is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer: -Q13:If n is the greatest positive integer for which 2n is a factor of 10!, then n =A. 2B. 4C. 6D. 8E. 10Answer: -Q14:A total of 30 percent of the geese included in a certain migration study were male. If some of the geese m

19、igrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese?Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)A.

20、 1/4B. 7/12C. 2/3D. 7/8E. 8/7Answer: -Q15:Of the following, which is greatest?A. (1/5)-2B. (1/3)-2C. 3-2D. 5-2E. 23Answer: -Q16:Is x - yx - z?(1) yz(2) x 0 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is

21、 not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer: -Q17:Raymond purchased a package of ground beef at a cost of $1.98 per pound. If, for the same amo

22、unt of money, Raymond could have purchased a piece of steak that weighed 40 percent less than the package of ground beef, what was the cost per pound of the steak?A. $4.95B. $4.20C. $3.60D. $3.30E. $3.10Answer: -Q18:A rectangular region has a fence along three sides and a wall along the fourth side.

23、 The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?A. 4B. 8C. 16D. 32E. 64Answer: -Q19:At a certain company, 25 percent of the employees are male and 50

24、 percent of the employees are sales staff. What is the number of employees at this company?(1) Exactly 7 of the employees at the company are males who are sales staff.(2) There are 16 more female employees than male employees at the company. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer: -