GMAT Practice Set 4 - Quant

1. If , is z 8?

(1) x 4

(2) |y| 4

A. Statement (1) by itself is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) taken together are sufficient toanswer the question, even though neither statement byitself is sufficient.

D. Either statement by itself is sufficient to answer thequestion.

E. Statements (1) and (2) taken together are not sufficientto answer the question, requiring more data pertaining tothe problem.

2. Angela begins walking at 4 mph around a circular track witha radius of 8 miles. Exactly 5 hours later, Matt leaves fromthe same point in the opposite direction jogging at 6 mph. Forhow many hours will Angela have been walking when Matt haspassed and moved 10 miles beyond her?

A. 1.6 - 1

B. 1.6 + 4

C. 2 - 1

D. 2.6 - 2

E. 3.6 - 2

3. Does n = 1?

(1) |n| = 4n - 6

(2) |n| 4n

A. Statement (1) BY ITSELF is sufficient to answer thequestion, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer thequestion, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER aresufficient to answer the question, even though NEITHERstatement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answerthe question.

E. Statements (1) and (2) TAKEN TOGETHER are NOTsufficient to answer the question, requiring more datapertaining to the problem.

4. All but 50 of the 1,000 plants at the annual flower show weresold. Of the plants sold, 30 percent were sold at a discount of25 percent off the full price, and the remaining plants were soldat the full price of $12. What was the total revenue from theplant sales?

A. $8,550

B. $8,835

C. $10,545

D. $11,100

E. $12,000

5. If z is a positive integer, is z + 1 a factor of 105?

(1) z is a factor of 20.

(2) 10 is a factor of z.






6. If X and Y are single-digit positive integers, is X + Y amultiple of 6?

(1) X + 4Y is an even integer.

(2) If Y and X were combined into a two-digit number, YX,with Y as the tens digit and X as the units digit, then YXwould be divisible by 3.






7. If the sides of a triangle have lengths x, y, and z, x + y =30, and y + z = 20, then which of the following could be theperimeter of the triangle?

I. 28II. 36III. 42

A. I only

B. II only

C. I and II only

D. I and III only

E. I, II, and III

8. If x 0, is xy 1?

(1) y = 0

(2) 0 x 1






9. If a cylindrical tank were filled with water at a rate of 20 cubicfeet per hour, the level of water in the tank would rise at a rateof 2 feet per hour. Which of the following best approximates theradius of the tank, in feet?

A. 2

B. 3

C. 4

D. 5

E. 6

10. Pastry chef Pierre takes x hours to decorate a weddingcake. Pastry chef Francois takes y hours to decorate thesame wedding cake. If Pierre works alone for z hours andis then joined by Francois until 20 cakes are decorated, forhow long did the two pastry chefs work together?

A.

B.

C.

D.

E.

11. If it is true that -6 n 10, which of the following must betrue?

A. n 8

B. n = -6

C. n -8

D. -10 n 7

E. none of the above

12. In triangle XYZ, if XZ = 5 and YZ = 9, XY could equal whichof the following?

I. 13

II.

III. 4

A. I only

B. II only

C. I and II

D. III only

E. I, II, and III

13. Is ?

(1) of 9 is less than the value of q.

(2) Two times the value of q is greater than .






14. Fifty percent of all the students attending a school on acertain day arrived by 7:00 AM. How many students arrived by7:00 AM on that day?

(1) Fifteen students arrived between 7:00 AM and 8:00 AM,

and of that day's total attending students arrived by 8:00

AM.

(2) Ten students arrived after 8:00 AM that day.






15. If x and y are positive integers, each of the followingcould be the greatest common divisor of 30x and 15yEXCEPT

A. 30x.

B. 15y.

C. 15(x + y).

D. 15(x-y).

E. 15,000.

16. What is the average of p, q, and r?

(1) p + 3q - 2r = 5

(2) 4p + 2q + 7r = -5






17. At a certain resort, each of the 39 food service employeesis trained to work in a minimum of 1 restaurant and a maximumof 3 restaurants. The 3 restaurants are the family buffet, thedining room, and the snack bar. Exactly 19 employees aretrained to work in the family buffet, 18 are trained to work in thedining room, and 12 are trained to work in the snack bar. If 4employees are trained to work in exactly 2 restaurants, howmany employees are trained to work in all 3 restaurants?

A. 2

B. 3

C. 4

D. 5

E. 6

18. What is the remainder when is divided by 10?

(1) x is a multiple of 3.

(2) x is a multiple of 5.






19. Two sisters, Caryn and Missy, are each given an allowanceby their parents in exchange for helping with household tasks.Caryn receives twice the hourly allowance that Missy receives,but Missy receives three times her hourly allowance for anyhours she spends helping with laundry on Sundays. If both girlsworked a whole number of hours this week and received thesame dollar amount of allowance, which of the following mustbe true?

I. Missy made more money on Sunday than did Caryn.

II. Caryn worked fewer hours Monday through Thursday thandid Missy.

III. Missy worked at least one hour on Sunday.

A. I only

B. II only

C. III only

D. I and II only

E. I and III only

20. Three is the largest number that can be divided evenly into27 and the positive integer x, while 10 is the largest numberthat can be divided evenly into both 100 and x. Which of thefollowing is the largest possible number that could be dividedinto x and 2,100?

A. 30

B. 70

C. 210

D. 300

E. 700

21. How many consecutive zeros will appear at the end of 43! ifthat number is expanded out to its final result?

A. 12

B. 11

C. 10

D. 9

E. 8

22. A fruit drink advertises that it has 5 percent apple juice.

Children pour themselves cup of this fruit drink and then add

another cup of fruit drink that has 50 percent apple juice.

Which is most nearly the percent of apple juice in the children'smixed drink?

A. 12.5%

B. 16.3%

C. 17.5%

D. 55.0%

E. 65.0%

23. If x is y percent of 4z, where y 0 and z 0, then, in termsof z, y is what percent of x ?

A. 4z

B. 25z

C.

D.

E.

24. The 39 parents participating in the Smithville PTA havebeen assigned to at least 1 of 3 committees: festival planning,classroom aid, and teacher relations. 21 parents are assignedto the festival planning committee, 18 parents are assigned tothe classroom aid committee, and 19 parents are assigned tothe teacher relations committee. If 5 parents are assigned toall 3 committees, how many parents are assigned to exactly 2committees?

A. 4

B. 6

C. 8

D. 9

E. 10

25. If x is a positive integer and z = x! + (x + 2), is z prime?

(1) x is odd.

(2) 2 x 12






26. The circular base of a planter sits on a level lawn, and justtouches two straight garden walls at points W and Y. The wallscome together at point X, which is 15 inches from the center ofthe planter. What is the area of the base of the planter?

(1) Both points Y and W are 9 inches from the center of theplanter.

(2) Point W is 12 inches from point X.






27. A group of 5 friends-Archie, Betty, Jerry, Moose, andVeronica-arrived at the movie theater to see a movie. Becausethey arrived late, their only seating option consists of 3 middleseats in the front row, an aisle seat in the front row, and anadjoining seat in the third row. If Archie, Jerry, or Moose mustsit in the aisle seat while Betty and Veronica refuse to sit nextto each other, how many possible seating arrangements arethere?

A. 32

B. 36

C. 48

D. 72

E. 120

28. St. Francis's gym coach is planning a kickball tournamentfor the 40 students in the fourth grade. How many teams arethere if the coach wants to evenly divide the students to makesure there are more than 2 teams, with each team having morethan 2 students?

(1) If 17 fifth-graders are allowed to play in the tournament,one will have to serve as an alternate to evenly assign thefifth-graders to teams.

(2) If 5 third-graders are allowed to play in the tournament,one will have to serve as an alternate to evenly assign thethird-graders to teams.






29. The average (arithmetic mean) of the integers a, b, and c is12. If the value of a is half the value of b, and the value of c isthree times the value of b, what is the value of c-b ?

A. 18

B. 16

C. 8

D. 4

E. 3

30.

What is the radius of the circle shown above?

(1) The center of the circle is at point O.

(2) The measure of minor arc PQ is 8.






31. If the Board of Selectmen contains 4 positions, and if in thecurrent election two candidates are running for each position,how many different combinations of candidates could beelected to the Board?

A. 6

B. 8

C. 12

D. 16

E. 24

32. Bill is golfing with three friends and can either buy genericgolf tees that are packaged by the dozen or the higher qualityAeroflight tees that come by the pair. What is the minimumnumber of Aeroflight tees Bill must purchase to ensure that hehas at least 10 golf tees for each member of his foursome?

A. 6

B. 4

C. 2

D. 1

E. 0

33. If x and y are integers, what is the value of ?

(1) y=

(2) x = 4

A. Statement (1) by itself is sufficient to answer thequestion but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer thequestion but statement (1) by itself is not.



E. Statements (1) and (2) taken together are NOTsufficient to answer the question, requiring more datapertaining to the problem.

34. Integer s is equivalent to the sum of all the even multiples of25 between 585 and 825, inclusive. What is the greatest primefactor of s?

A. 19

B. 11

C. 7

D. 5

E. 3

35. If two sides of a triangle are 12 and 8, which of the followingcould be the area of the triangle?

I. 35II. 48III. 56

A. I only

B. I and II only

C. I and III only

D. II and III only

E. I, II, and III

36. If x- 1 is a positive integer, is x- 1 divisible by 3?

(1) (x2 + x)(x + 1) is divisible by 3.

(2) x(x2-x) is divisible by 3.






GMAT Practice Set 4 - Quant

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