gmat practice set 12 - quantitative

1. 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

2. Dan and Craig stand back-to-back at point X. Dan beginsto rollerblade in a straight line away from Craig at a rate of 4miles per hour. Thirty minutes later, Craig begins to bicycle in astraight line in the exact opposite direction at a rate of 12 milesper hour. What is the positive difference, in hours, between theamount of time it takes Craig to cover the exact distance thatDan has covered and the amount of time it would take Craig tocover 50% more distance than Dan has covered? Round youranswer to the nearest hundredth.

A. .08

B. .16

C. .25

D. .50

E. .75

3. 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

4. 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.

5.

In the diagram above, if arc ABC is a semicircle, what is thelength of AC?

(1) AD = 2.5

(2) DC =10

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. Given that the mean of Set A is 10, what is the range of twostandard deviations above and below the mean?

(1) One standard deviation above and below the meanranges from 7 to 13.

(2) The median of set A is 11.






7. Last year, the 10 associates at the Tally Group received anaverage of $5,500 in bonuses. What was the average bonusreceived by the same associates this year?

(1) Each of 5 associates received $600 more in bonuses thisyear than last, and each of the other 5 received $500 less.

(2) Five of the associates received 10% more in bonuses thisyear, and 5 received 10% less.






8. Of the 50 guests at a party, 10 percent are smokers. Howmany non-smokers must leave in order to bring the number ofsmokers up to 50 percent of the guests?

A. 5

B. 10

C. 20

D. 35

E. 40

9. 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%

10. At a holiday store, the average price of the Germannutcrackers is $225, and the average price of all nutcrackersis $205. What is the average price of the non-Germannutcrackers?

(1) The combined price of all the nutcrackers in the store is$2,050.

(2) Sixty percent of the nutcrackers in the store are German.






11.

What is the degree measure of angle a in the figure above?

(1) d + e = 275o

(2) b + c = 290o






12. What is the value of 11x- 11x+2

, where x is the largestinteger such that 11x is a factor of 30,030?

A. -1331

B. -1320

C. -121

D. -120

E. -1

13. If James' Games sold 110,000 newspapers last year, howmany will it sell this year?

(1) Two years ago, James' Games sold 100,000 newspapers.

(2) Three years ago, James' Games sold 90,000newspapers.






14. For all values of the integer x, is the product (x + 3)(x2 + 3x

+ 2) divisible by 4?

(1) is an odd integer

(2) x is divisible by 16






15. 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

16. Set S consists of 7 integers. Is the range of set S less than7?

(1) The mean of set S is 4.

(2) The standard deviation of set S is 0.






17. 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.






18. 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.

19.

In the figure above, quadrilateral ABCD is a rhombus, andpoints C, D, and E are on the same line. Is quadrilateral ABDEa rhombus?

Note: A rhombus is a quadrilateral with 4 equal sides.

(1) AE || BD.

(2)






20. 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

21. In the quadrilateral ABCD, side AD is parallel to side BC. IsABCD a parallelogram?

(1) AB = CD

(2) AD = BC






22. If polygon A has fewer than 6 sides, how many sides doespolygon A have?

(1) The sum of the interior angles of polygon A is divisible by30.

(2) The sum of the interior angles of polygon A is divisible by27.






23. If , is z 8?

(1) x 4

(2) |y| 4






24. In 2006, Top Tier University's recorded enrollment was 20%greater than in 2005. In 2005, Top Tier's enrollment was 25%greater than in 2004. What was the enrollment in 2004?

(1) For every 40 students enrolled in 2004, 60 enrolled in2006.

(2) In 2006, enrollment was 2,000 students more than 2005.






25. If both x and y are positive integers that are divisible by 10,is 10 the greatest common factor of x and y?

(1) x = 4y

(2) x - 3y = 10






26. Several students are studying together for an exam. 60%of the students who studied less than 10 hours a week feelunprepared. 80% of students who studied 10 hours or moreeach week feel prepared. If 75% of the students studied lessthan 10 hours per week, what percent of the students feelprepared for the exam?

A. 20

B. 25

C. 30

D. 35

E. 65

27. All but 50 of the 1,000 plants at the annual flower showwere sold. Of the plants sold, 30 percent were sold at adiscount of 25 percent off the full price, and the remainingplants were sold at the full price of $12. What was the totalrevenue from the plant sales?

A. $8,550

B. $8,835

C. $10,545

D. $11,100

E. $12,000

28. If S is a set of integers with n members, is the median of Sodd?

(1) All members of S are odd.

(2) n is even.






29. What percentage of the agents at Best Be Safe insurancecompany sell insurance for cars but not boats?

(1) Ninety percent of the agents at Best Be Safe sellinsurance for cars, and 55% of the agents at Best Be Safe donot sell insurance for boats.

(2) The number of agents at Best Be Safe who sell insurancefor boats is half the number of agents who sell insurance forcars.






The Job Dilemma

Jennifer has an interview scheduled for a job that she believescould be an extraordinary opportunity for her. Not only will itprovide her the means to move to the city, but it will providecontacts that could prove very beneficial to her career. Anacquaintance of hers has also been asked to interview for thejob.

Jennifer travels to the city for her interview and leaves believingit went quite well. She is optimistic that she will be offered thejob and pleased because the opportunity appears even betterthan she originally believed it to be. Jennifer has several hoursto wait for her train home, so she walks around the city for anhour and then finds a café where she plans to have aleisurely lunch. Her table is in the corner of the café andis partially hidden by a large plant. As she overhears two menconverse at a nearby table, she realises that the diners at thattable do not know that anyone is sitting nearby and that theirconversation can be heard.

Although she tries not to listen, Jennifer recognises one ofthe voices finds it increasingly difficult not to pay attention.The voice she recognises begins to talk about two interviewshe recently conducted for an open position at his company.He notes that the first candidate is better qualified, and thenlowers his voice as he uses racial epithets to note why he doesnot want to offer the job to this candidate. He then states thathe'll offer the job to the girl who's sufficiently qualified and amember of a racial group with whom he's more comfortableworking. Jennifer glances at the men and, with a start, realisesthat the voice she recognises is that of the hiring manager whointerviewed her earlier. Unsure of what to do, she waits until themen are gone before she exits the café and walks to thetrain station.

The following day, the hiring manager calls Jennifer and offersher the job.

What is your opinion? How do you feel about each of thefollowing statements?

30. Ethics dictates that a person not knowingly benefit fromothers' prejudices.

A. Strongly Agree

B. Agree

C. Disagree

D. Strongly Disagree

31. If you do not cause an unjust situation, you are not requiredto remedy it.

A. Strongly Agree

B. Agree

C. Disagree


32. If a personal sacrifice will not remedy an injustice, it isfoolish to make the sacrifice.

A. Strongly Agree

B. Agree

C. Disagree


33. It is important to do the right thing.

A. Strongly Agree

B. Agree

C. Disagree


34. You must look out for yourself first and foremost.

A. Strongly Agree

B. Agree

C. Disagree


35. If you know someone has been the victim of discrimination,you have an obligation to inform that person.

A. Strongly Agree

B. Agree

C. Disagree


36. Competition does not always have to be fair.

A. Strongly Agree

B. Agree

C. Disagree


37. Doing the right thing can put you at a disadvantage.

A. Strongly Agree

B. Agree

C. Disagree


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

(1) x is a multiple of 3.

(2) x is a multiple of 5.






39. Until a recent acquisition, two partners held all of the stockin the company Initrode. During the acquisition, each of thepartners sold some of his shares and exchanged the rest forshares of Initech. If the senior partner sold 1,200 shares, andthe junior partner exchanged 800 shares, what is the greatestpossible number of shares the senior partner exchanged?

(1) Before the acquisition, there were 4,000 shares ofInitrode.

(2) Fewer than half the Initrode shares were sold.






40. In a certain school district, math teachers are consideredqualified if they have either a math degree or a teachingcredential in math. If 5% of math teachers have both a mathdegree and a teaching credential in math, what percentage ofmath teachers are considered qualified?

(1) Fifteen percent of math teachers lack a teachingcredential in math, and 90% lack a math degree.

(2) Eighty percent of math teachers have a teachingcredential in math but not a math degree, and 5% have amath degree but not a teaching credential.






41. Every student at the Performing Arts Academy must take atleast one of the two drama courses offered, Classical Theateror Improvisation. If 15% of the students who take ClassicalTheater also take Improvisation, how many students take bothClassical Theater and Improvisation?

(1) Ten percent of the students who take Improvisation alsotake Classical Theater.

(2) The Performing Arts Academy has a total of 450 students.






42. 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

43. If x, y, and z are integers, is x -y odd?

(1) x = z2- 4y + 4

(2) y = z2- 2z + 1






gmat practice set 12 - quantitative

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