GMAT Practice Set 7 - Quant

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

(1) x is a multiple of 3.

(2) x is a multiple of 5.

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. If the two-digit positive integer x is less than 99, what is thesum of the digits of x ?

(1) a 3 is a two-digit odd integer.

(2) x is divisible by the cube of a.

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.

3. 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

4. Nine positive integers are contained in Set N. The medianof Set N is the integer x, and all the values in Set N are 3x orsmaller. What is the largest possible average (arithmetic mean)of set N?

A. x

B.

C.

D.

E. 3x

5. By what percentage will the virus population increase in onehour?

(1) The virus population triples every 20 minutes.

(2) The current population is 100,000 viruses.






6. In the rectangular coordinate system, are the points (v, w)and (x, y) equidistant from the origin?

(1)

(2)






7. 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

8. In 1994, corn prices were six times wheat prices in Town X.Corn and wheat were sold in bushels. What was the ratio ofTown X's total revenue from corn sales to total revenue fromwheat sales in 1994?

(1) Town T's price for each bushel of corn in 1994 was $500.

(2) In the first half of 1994, Town X sold wheat bushels andcorn bushels in the ratio of 4:1. In the second half of 1994,Town X sold corn bushels and wheat bushels in the ratio of3:2.






9. The length of arc AXB is 3 times the length of arc BZC, andthe length of arc AYC is twice the length of arc AXB. What isthe measure of angle BCA ?

A. 18

B. 36

C. 54

D. 60

E. 108

10. Bill owns a large collection of fishing lures consisting oftiny, small, medium, and large lures that weigh 1, 3, w, and 5grams each, respectively. The medium lures weigh more thanthe small lures but less than the large lures. If the product of thelure weights that Bill sold to his friend is 216,000 grams, howmany medium lures did he sell?

A. 6

B. 5

C. 4

D. 3

E. 2

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. A palindrome is a number that reads the same forward andbackward, such as 242. How many even five-digit numbers arepalindromes?

A. 40

B. 400

C. 500

D. 5,000

E. 100,000

13. For the positive integers q, r, s, and t, the remainder whenq is divided by r is 7 and the remainder when s is divided by tis 3. All of the following are possible values for the product rtEXCEPT

A. 32

B. 38

C. 44

D. 52

E. 63

14. 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

15. In the figure above, points A, B, C, and D are evenly

spaced. If point A equals 217

and point C equals 49, what is the

value of point D?

A. 219

B. 217

C. 5(216

)

D. 3(216

)

E. 216

16. Roger, Babe, and Will have hit a combined total of 256home runs. How many home runs did Babe hit?

(1) Roger, Babe, and Will hit home runs in the ratio of 1:5:10,respectively.

(2) Will hit 80 more home runs than Babe.






17. A.B. Cakes has two full-time cake decorators-Annie andBonnie-to help with a wedding rush order. If Annie couldcomplete the entire wedding order in six hours, how long wouldit take Annie and Bonnie working together to complete theorder?

(1) Annie works at a rate that is two-thirds as fast as Bonniedoes.

(2) Working alone, Bonnie could complete the job in fourhours.






18. If , is z 8?

(1) x 4

(2) |y| 4






19. Bobby has a bowl of marbles that contains 7 blue marbles,5 red marbles, and 4 white marbles. If the first marble selectedis not put back in the bowl, what is the probability of pickingeither a red marble twice in a row or a white marble twice in arow?

A.

B.

C.

D.

E.

20. If n is an integer and , which of the

following could be the value of (n + 3)2?

A. -2

B. 1

C. 4

D. 11

E. 64

21. 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

22. 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.






23. Randy can rebuild an automobile engine in a hours. Alvincan rebuild the same engine in b hours. If Randy and Alvin worktogether at their respective rates to rebuild the engine, whichof the following represents the portion of the job that Randy willnot have to complete?

A.

B.

C.

D.

E.

24. A dog breeder currently has 9 breeding dogs. 6 of thedogs have exactly 1 littermate, and 3 of the dogs have exactly2 littermates. If 2 dogs are selected at random, what is theprobability that both selected dogs are NOT littermates?

A.

B.

C.

D.

E.

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

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

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






26. Bruce and Anne can clean their house in 4 hours workingtogether at their respective constant rates. If Anne's speed weredoubled, they could clean their house in 3 hours working at theirrespective rates. How many hours does it currently take Anne toclean the house on her own?

A. 6

B. 7

C. 8

D. 12

E. 14

27. If the average allowance for all second-graders in School Ais $2 per week, how many third-graders are there in School A?

(1) The total money collected as allowance for all third-graders is $20 less than the total money collected asallowance for all second-graders.

(2) The average allowance for third-graders is $3 per week.






28. A summer camp has 25 children enrolled in its golf class,25 children enrolled in its tennis class, and 8 children enrolledin both classes. If all the children in the summer camp areparticipating in at least one of the two classes, how manychildren are enrolled in only one of the two classes?

A. 33

B. 34

C. 38

D. 40

E. 42

29. 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%

30. Three-twentieths of the members of a social club areretirees who are also bridge players, seven-twentieths of themembers are retirees, and one-half of the members are bridgeplayers. If 120 of the members are neither retirees nor bridgeplayers, what is the total number of members in the social club?

A. 240

B. 300

C. 360

D. 400

E. 480

31. Is the positive integer p a multiple of the positive integer q ?

(1) is an integer.

(2) is an integer.






32. If , what is z ?

(1) y = 3

(2)






33. Chris started his trip to work by leaving his house andwalking to the bus stop at a constant rate of x miles per hour.

After reaching the bus stop, which is the total distance to his

work, Chris got on a bus that travels at a constant y miles perhour for the remainder of the trip. If it took Chris t hours to reachhis work, how many miles is Chris's work from where he lives?

A.

B.

C.

D. 3x(y + t) + 2y(x + t)

E.

34. T is a finite set of consecutive odd integers and contains atleast three numbers. Is the median of T an odd integer?

(1) If the smallest and largest numbers are removed from T,the median of the resulting set is an odd integer.

(2) If the smallest and largest numbers are removed from T,the range of the resulting set is divisible by 4.






35. 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

36. A bag of jelly beans contains blue, red, green, and yellowjelly beans. How many pairs of matching colored beans are inthe bag?

(1) There are as many blue beans as there are red beans.

(2) The bag contains 15 jelly beans.






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GMAT Practice Set 7 - Quant