GMAT Practice Set 2 - Quant

1. If

, is z

(1) x (2) |y|

8?

4 4

A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient. D. Either statement by itself is sufficient to answer the question. E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

2. Is a

c?

(1) b = 0.5c (2) a= A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. D. EITHER statement BY ITSELF is sufficient to answer the question. E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

3. If z is a positive integer, is the remainder of z divided by 10 equal to 4? (1) z is a multiple of 2. (2) The remainder when z is divided by 5 is 4. A. Statement (1) by itself is sufficient to answer the question but statement (2) by itself is not. B. Statement (2) by itself is sufficient to answer the question but statement (1) by itself is not. C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient. D. Either statement by itself is sufficient to answer the question. E. Statements (1) and (2) taken together are NOT sufficient to answer the question, requiring more data pertaining to the problem.

4. All but 50 of the 1,000 plants at the annual flower show were sold. Of the plants sold, 30 percent were sold at a discount of 25 percent off the full price, and the remaining plants were sold at the full price of $12. What was the total revenue from the plant sales? A. $8,550 B. $8,835 C. $10,545 D. $11,100 E. $12,000

5. If x is an integer greater than 2, the function f(x) represents the product of all even integers between 2 and x, inclusive. What is f(51) - f(50)? A. (51)50! 2

B. (50 )49! C. 50 D. 1 E. 0

6. Bill is training for a bike race and needs to complete a rigorous weekly training program whereby every Monday he bikes 3 miles, and every Tuesday he bikes 4 miles. After that, Bill bikes the sum of the distances biked the previous two days but will bike only 1 mile if he biked more than 10 miles the day prior. Bill takes Sundays off from biking and then repeats this cycle on Mondays. If Bill starts training on the first Monday of a month that begins on a Thursday, how many total miles will Bill st

have scheduled to bike before the 21 day of that month? A. 4 B. 38 C. 79 D. 83 E. 114

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 the perimeter of the triangle? I. 28 II. 36 III. 42 A. I only B. II only C. I and II only D. I and III only E. I, II, and III

8. In the number 10.6pq5, p and q represent digits. If z = 10.6pq5, what is the value of 12 -z? (1) When z is rounded to the nearest thousandth, then 12 -z = 1.324. (2) When z is rounded to the nearest hundredth, then 12 -z = 1.32. A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. D. EITHER statement BY ITSELF is sufficient to answer the question. E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

9. Chris's plot of land for his garage is

land for his house. If Chris plans to sell

his house and

B.

C.

D.

E.

of the plot of land for

of his plot of land for his garage, what fraction

of his land will remain unsold?

A.

the size of his plot of

10. A juice stand sold only small and large cups of juice on Tuesday. Precisely

of the cups sold were small, and the rest

were large. If the large cups were sold for

as much as the

small cups, what fraction of Tuesday's total revenue was from the sale of large cups?

A.

B.

C.

D.

E.

Explanation:

11. If it is true that -6 true? A. n

n

8

B. n = -6 C. n D. -10

-8 n

7

E. none of the above

10, which of the following must be

12. If Tank B has more oil than Tank A, and Tank A is currently filled to

of its capacity, what percent of the oil in Tank B

needs to be poured into Tank A so that the two tanks will have an equal amount of oil? (1) Tank A has a capacity of 100,000 gallons. (2) If all the oil currently in Tank B were transferred to Tank A, Tank A would be filled to

of its capacity.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. D. EITHER statement BY ITSELF is sufficient to answer the question. E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

13. Three friends are trying to decide how to split up a tub of ice cream. One friend will get exactly

of the ice cream, and the

other friends will share the rest. How many ounces of ice cream did the friend who received the smallest amount get? (1) The friend with the second largest amount received

of

the 12 ounces of ice cream received by the friend with the largest amount. (2) The friend with the smallest amount received

of the

amount received by the friend with the second largest amount. A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. D. EITHER statement BY ITSELF is sufficient to answer the question. E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

14. Mary has 28 dollars more than Frank. If she were to give Frank

of her money, Frank would have 50% less than the

amount that Mary would then have. How many dollars does Mary have? A. 22 B. 30 C. 32 D. 36 E. 44

Explanation:

15. Twelve contestants at the county fair have entered their cakes to be judged in the cake decorating competition. A purple ribbon, blue ribbon, red ribbon, and white ribbon will be given to the first, second, third, and fourth place competitors, respectively. How many different ways are there to award the four ribbons to the contestants?

A.

B.

C.

D.

E.

Explanation:

16. 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 the question, but statement (2) by itself is not. B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient. D. Either statement by itself is sufficient to answer the question. E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

17. A family of 2 parents and 2 children is waiting in line to order at a fast-food restaurant. Joey, the younger child, has a tendency to cause mischief when he is not watched carefully. Because of this, the father wants to keep Joey ahead of him in line at all times. How many different ways can the family arrange themselves in line such that the father is able to watch Joey? A. 6 B. 12 C. 24 D. 36 E. 72

Explanation:

18. 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 the question, but statement (2) by itself is not. B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient. D. Either statement by itself is sufficient to answer the question. E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

19. Exactly one year ago, Jack put his money into a savings account that yields 0.5% simple interest. If he has earned a profit of $35, how much did he originally deposit? A. $350 B. $700 C. $3,500 D. $7,000 E. $14,000

Explanation:

20. If x and y are positive integers, which of the following must be a factor of x if

A. 3 B. 6 C. 10 D. 11 E. 24

Explanation:

?

21. Which of the following must be true if 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:

is a negative

22. A fruit drink advertises that it has 5 percent apple juice. Children pour themselves another

cup of this fruit drink and then add

cup of fruit drink that has 50 percent apple juice.

Which is most nearly the percent of apple juice in the children's mixed drink? A. 12.5% B. 16.3% C. 17.5% D. 55.0% E. 65.0%

23. Jill jogs the 4 miles from her house to the park in 40 minutes and then she sprints back to her house along the same route at 8 miles per hour. Jon also makes the same trip from Jill's house to the park and back to her house, but he does so at half of Jill's average speed. How many hours does Jon spend on his total trip? A. 2 B.

C. D. 3 E. 4

Explanation:

24. Kendra is a faculty adviser at a college, and she has decided to help 4 student leaders, 3 faculty members, and 5 administrators meet and learn about each other. She decides to invite one student, one faculty member, and one administrator to have lunch with her every Friday. For how many Fridays can Kendra avoid having lunch with the exact same combination of student, faculty member, and administrator? A. 12 B. 48 C. 60 D. 64 E. 68

Explanation:

25. Is x negative? 2

(1) x is a positive number. (2) x

|y| is not a positive number.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. D. EITHER statement BY ITSELF is sufficient to answer the question. E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

26. The circular base of a planter sits on a level lawn, and just touches two straight garden walls at points W and Y. The walls come together at point X, which is 15 inches from the center of the planter. What is the area of the base of the planter? (1) Both points Y and W are 9 inches from the center of the planter. (2) Point W is 12 inches from point X. A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient. D. Either statement by itself is sufficient to answer the question. E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

27. Allison and Barbara are part of an 8-member dance troupe. For the upcoming spring recital, the troupe will be divided into two 4-person ensembles and each ensemble will perform a specialized dance. What fraction of all the possible ensembles that include Allison will also include Barbara?

A.

B.

C.

D.

E.

Explanation:

28. Is x negative? 2

(1) x is a positive number. (2) x

|y| is not a positive number.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. D. EITHER statement BY ITSELF is sufficient to answer the question. E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

29. Hose A can fill

of a pool in two hours. If Hose A and

Hose B, working together at their respective rates, can fill a pool in one hour, what fraction of the pool can Hose B fill in 30 minutes? A. B. C. D. E.

30. A sales commission plan pays a sales representative $2,000 or 20% of monthly gross sales, whichever is lower. The company is now introducing a new plan that pays the sales representative $500 each month plus 10% of all monthly gross sales above $2,000. Which of the following is a monthly gross sales amount for which both sales commission plans pay out the same amount? A. $1,000 B. $3,000 C. $5,000 D. $7,000 E. $9,000

Explanation:

31. If the Board of Selectmen contains 4 positions, and if in the current election two candidates are running for each position, how many different combinations of candidates could be elected to the Board? A. 6 B. 8 C. 12 D. 16 E. 24

2

32. If a is a positive integer, what is the units digit of a ? (1) The units digit of a is 3. 4

(2) The units digit of a is 1. A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. D. EITHER statement BY ITSELF is sufficient to answer the question. E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

33. If x

A.

B. C. D. E.

2 and x

0, then

34. Is the square root of the positive integer X an integer? (1) The sum of the distinct factors of X is odd. (2) X has an odd number of distinct factors. A. Statement (1) by itself is sufficient to answer the question but statement (2) by itself is not. B. Statement (2) by itself is sufficient to answer the question but statement (1) by itself is not. C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient. D. Either statement by itself is sufficient to answer the question. E. Statements (1) and (2) taken together are NOT sufficient to answer the question, requiring more data pertaining to the problem.

35. If two sides of a triangle are 12 and 8, which of the following could be the area of the triangle? I. 35 II. 48 III. 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. What is the value of A. 10 B. C. D. 18 E.

Explanation:

?