GMAT Practice Set 10 - Quantitative

1. 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

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

(1) x is odd.

(2) 2 x 12

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. What was Joanne's average speed during her 4-hour runfrom Arlington to Burlington and back, if she did not stop to restin Burlington?

(1) It took Joanne 1.5 hours to reach Burlington.

(2) The distance from Arlington to Burlington is 12 miles.

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. Which of the following must be true if is a negative odd

integer and x, y, and z are all integers?

I. z is odd.

II. 0

III. xy 0

A. I only

B. II only

C. III only

D. II and III

E. I, II, and III

Explanation:

5. The sum of x consecutive positive integers is 63. What is thevalue of x?

(1) x 11

(2) x is odd.

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.

6. 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

7. Which of the following fractions has the greatest value?

A.

B.

C.

D.

E.

8. If m and n are positive integers, each of the following could

be equivalent to EXCEPT

A. .

B. .

C. .

D. .

E. .

9. If x 0, is xy 1?

(1) y = 0

(2) 0 x 1

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.

10. In a club baseball league, the number of coaches andplayers totals 240 and the ratio of players to coaches is 15 to1. Each player is categorized under one of six levels. Level one

players make up of the total players, and levels five and six

account for of the remainder. If levels two and three players

account for of the total players, then the number of players

in level four is how many greater or fewer than the number ofplayers in level one?

A. 15 greater

B. 18 greater

C. 12 fewer

D. 15 fewer

E. 18 fewer

11. 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

12. 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.

13. 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

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

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

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

15. 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

16. A college student is studying a population of fungi for hissenior thesis. The population of fungi grows at a constant rate,and at 4 p.m., he places 3,000 fungi in a petri dish. Althoughhe is supposed to check the population at every hour, he fallsasleep and does not wake up until 8 p.m., at which point thefungi population is 243,000. What was the fungi population at 7p.m.?

A. 24,000

B. 27,000

C. 60,000

D. 81,000

E. 90,000

17. 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.

18. In a set of positive integers {j, k, l, m, n, o}, in which j k l m n o, is the mean larger than the median?

(1) The sum of n and o is more than twice the sum of j and k.

(2) The sum of k and o is the sum of l and m.

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.

19.

In the figure above, A, B, and C are all points on the circle.What is the area of triangle ABC ?

(1) The circumference of the circle is 18 .

(2) measures 30o.

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.

20.

A. 1

B. 2

C. 3.01

D. 4

E. 6.02

21. The ""length of integer x"" refers to the number of primefactors, not necessarily distinct, that x has. (If x = 60, the lengthof x would be 4 because 60 = 2 2 3 5.) What is thegreatest possible length of integer z if z 1,080?

A. 13

B. 10

C. 9

D. 7

E. 6

22. 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

23. What is the minimum value of the function g(y)?

(1) g(y) = (y - 6)2 3

(2) g(8) = 64

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.

24. 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%

25. Jacob's farm utilizes a water pump that runs exactly 12hours a day to irrigate crops. How much water can he pump tothe fields in a third of a day?

(1) Jacob's pump can provide 750 gallons of water in 30hours.

(2) Jacob's pump can provide 600 gallons of water in oneday.

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.

26. 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.

27. Fifteen hungry police officers are taking a break and willshare a certain number of jelly, frosted, and sprinkled donuts.If no police officer can have more than 1 donut, and if no donutcan be broken into pieces, how many different ways can thedonuts be divided up among the hungry cops?

(1) There is an equal number of each type of donut.

(2) There are 4 jelly donuts.

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.

28. A jury pool consists of 6 men and w women. If 2 jurors areselected from the pool at random, is the probability that 2 menwill be selected higher than the probability that 1 man and 1woman will be selected?

(1) w 3

(2) w 6

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.

29. 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

30. Working alone at a constant rate, Alan can paint a house

in a hours. Working alone at a constant rate, Bob can paint

of the same house in b hours. Working together, Alan and Bob

can paint of the house in c hours. What is the value of b in

terms of a and c?

A.

B.

C.

D.

E.

31. A certain drum is filled to one quarter of its capacity witha mixture consisting of water and oil. The proportion of oil inthe drum is 50% by volume, and the capacity of the drum is 48gallons. If the water evaporates from the drum at the rate of 1gallon per hour and the amount of oil stays the same, what willbe the concentration of water in the mixture in 2 hours?

A. 32%

B. 40%

C. 48%

D. 56%

E. 64%

32. 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.

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.

33. A cylinder has a base with a circumference of 20 metersand an equilateral triangle inscribed on the interior side ofthe base. A marker is dropped into the tank with an equalprobability of landing on any point on the base. If the probability

of the marker landing inside the triangle is , what is the

length of a side of the triangle?

A.

B.

C.

D.

E. 20

34. The population of bacteria in a research lab doubles every90 minutes. If 3 hours ago there were 2,000 bacteria in a petridish, in approximately how many minutes will the populationexceed 500,000 bacteria?

A. 180

B. 270

C. 360

D. 450

E. 540

35. Is q divisible by 6?

(1) 5q is divisible by 10.

(2) 3 is a factor of q + 3.

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.

36. If r, s, t, and w are all nonzero integers, is r2s

3t4w

5 0?

(1) rst2 0

(2) rst 2 w

3 0

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.