gmat practice set 2 - 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. Is a c ?

(1) b = 0.5c

(2) 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 z is a positive integer, is the remainder of z divided by 10equal 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 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.

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

A. (51)50!

B. (502)49!

C. 50

D. 1

E. 0

6. Bill is training for a bike race and needs to complete arigorous weekly training program whereby every Monday hebikes 3 miles, and every Tuesday he bikes 4 miles. After that,Bill bikes the sum of the distances biked the previous two daysbut will bike only 1 mile if he biked more than 10 miles the dayprior. Bill takes Sundays off from biking and then repeats thiscycle on Mondays. If Bill starts training on the first Monday of amonth that begins on a Thursday, how many total miles will Bill

have scheduled to bike before the 21st 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 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. 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.






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

land for his house. If Chris plans to sell of the plot of land for

his house and of his plot of land for his garage, what fraction

of his land will remain unsold?

A.

B.

C.

D.

E.

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 fromthe sale of large cups?

A.

B.

C.

D.

E.

Explanation:

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. 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 havean 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.






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 creamdid 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 thelargest amount.

(2) The friend with the smallest amount received of the

amount received by the friend with the second largestamount.






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 doesMary have?

A. 22

B. 30

C. 32

D. 36

E. 44

Explanation:

15. Twelve contestants at the county fair have entered theircakes to be judged in the cake decorating competition. Apurple ribbon, blue ribbon, red ribbon, and white ribbon will begiven to the first, second, third, and fourth place competitors,respectively. How many different ways are there to award thefour 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






17. A family of 2 parents and 2 children is waiting in line toorder at a fast-food restaurant. Joey, the younger child, has atendency to cause mischief when he is not watched carefully.Because of this, the father wants to keep Joey ahead of himin line at all times. How many different ways can the familyarrange themselves in line such that the father is able to watchJoey?

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.






19. Exactly one year ago, Jack put his money into a savingsaccount that yields 0.5% simple interest. If he has earned aprofit 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 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:

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. Jill jogs the 4 miles from her house to the park in 40 minutesand then she sprints back to her house along the same route at8 miles per hour. Jon also makes the same trip from Jill's houseto the park and back to her house, but he does so at half of Jill'saverage speed. How many hours does Jon spend on his totaltrip?

A. 2

B.

C.

D. 3

E. 4

Explanation:

24. Kendra is a faculty adviser at a college, and she hasdecided to help 4 student leaders, 3 faculty members, and 5administrators meet and learn about each other. She decides toinvite one student, one faculty member, and one administratorto have lunch with her every Friday. For how many Fridays canKendra avoid having lunch with the exact same combination ofstudent, faculty member, and administrator?

A. 12

B. 48

C. 60

D. 64

E. 68

Explanation:

25. Is x negative?

(1) x 2 is a positive number.

(2) x |y| is not a positive number.






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. Allison and Barbara are part of an 8-member dance troupe.For the upcoming spring recital, the troupe will be divided intotwo 4-person ensembles and each ensemble will perform aspecialized dance. What fraction of all the possible ensemblesthat include Allison will also include Barbara?

A.

B.

C.

D.

E.

Explanation:

28. Is x negative?

(1) x 2 is a positive number.

(2) x |y| is not a positive number.






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 apool in one hour, what fraction of the pool can Hose B fill in 30minutes?

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. Thecompany is now introducing a new plan that pays the salesrepresentative $500 each month plus 10% of all monthly grosssales above $2,000. Which of the following is a monthly grosssales amount for which both sales commission plans pay outthe 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 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. If a is a positive integer, what is the units digit of a2?

(1) The units digit of a is 3.

(2) The units digit of a4 is 1.






33. If x 2 and x 0, then

A.

B.

C.

D.

E.

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 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.

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. What is the value of ?

A. 10

B.

C.

D. 18

E.

Explanation:

gmat practice set 2 - quant

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