GMAT Practice Set 13 - Quantitative

20. 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.

The following chart shows the relative distribution of blood typesamong patients at a certain hospital.

2. If 240 of the patients have either blood type A or blood typeB, then how many patients have blood type AB?

A. 192

B. 96

C. 48

D. 19

E. 10

3. If the hospital has 500 patients, and 25% of them requireblood transfusions, how many units of blood of types A, B,or AB must it be able to provide? Assume that the patientsrequiring the transfusions are distributed among the blood typesproportionally, and that each patient requiring a transfusionrequires exactly two units of blood.

A. 135

B. 100

C. 40

D. 24

E. 10

4. Type O blood is considered universal, since it can bedelivered to persons with any blood type. If the hospital has 350patients at present, and has on hand 50 units each of types Aand B blood plus 25 units of type AB blood, how many units oftype O blood must it have on hand if it meets its objective ofhaving one unit of transfusable blood for each patient?

A. 375

B. 251

C. 161

D. 128

E. 90

5. There are 115 patients in the hospital with type AB blood.How many patients are in the hospital?

A. 2,875

B. 1,150

C. 250

D. 185

E. 115

6. St. Francis's gym coach is planning a kickball tournament forthe 40 students in the fourth grade. How many teams are thereif the coach wants to evenly divide the students to make surethere are more than 2 teams, with each team having more than2 students?

(1) If 17 fifth-graders are allowed to play in the tournament,one will have to serve as an alternate to evenly assign thefifth-graders to teams.

(2) If 5 third-graders are allowed to play in the tournament,one will have to serve as an alternate to evenly assign thethird-graders to teams.

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.

7. Is x2

x - |y|?

(1) y x

(2) x 0






8. A, B, C, and D are the vertices of a polygon. Is polygonABCD a square?

(1) The diagonals of ABCD are perpendicular bisectors ofone another.

(2) ABCD is a parallelogram.






36. 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

10. If CD is the diameter of the circle, does y equal 60?

(1) x = 30

(2) The length of CD is twice the length of BD.






11. Jim received socks and ties for Father's Day. How manyties did he get?

(1) The ratio of socks to ties is 3:2.

(2) The total number of socks and ties that Jim received forFather's Day is 10.






Directions: The following section contains statements about theway your think or might behave, as well as general statementsabout people. Read each one quickly and assess.

12. I like to take risks.

A. Definitely False

B. False on the Whole

C. True on the Whole

D. Definitely True

13. I usually wake up ready to face the day.

A. Definitely False



D. Definitely True

14. I would rather spend the evening alone than attend a party.

A. Definitely False



D. Definitely True

15. I weight all my options carefully before making a decision.

A. Definitely False



D. Definitely True

16. I am more honest than most people I know.

A. Definitely False



D. Definitely True

17. My academic success is a reflection of my self-worth.

A. Definitely False



D. Definitely True

18. I make friends easily.

A. Definitely False



D. Definitely True

19. I am excited about the future.

A. Definitely False



D. Definitely True

20. If x is an integer, and Set A consists of {9, 6, x, 15, and 12},what is the median of Set A?

(1) (1) x 15

(2) (2) x2 = 144






21. 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.






22. What percent of Freedom City's 1,500 residents voted in itsmost recent election?

(1) Four hundred males in Freedom City voted in its mostrecent election.

(2) Of the 800 females in Freedom City, 60% voted in itsmost recent election.






23. Of the 58 drinks sold at Darlene's Beverage Shop, 21are carbonated. How many of the carbonated drinks sold inDarlene's Beverage Shop are caffeinated?

(1) There are 30 caffeinated drinks sold in Darlene'sBeverage Shop.

(2) Twenty-two of the non-carbonated drinks sold inDarlene's Beverage Shop are not caffeinated.






24. 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

25.

Note: Figure not drawn to scale.

Is triangle ABC an isosceles?

(1)

(2) x y






17. 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%

27. One million people live in a region consisting of severalcountries, including Country P and Country Q. How manypeople are citizens of both Country P and Country Q?

(1) Country P has 135,000 citizens, and Country Q has280,000 citizens.

(2) There are 610,000 people who live in the region but arenot citizens of Country P or Country Q.






28. If x and y are positive integers, and y x, what is themedian of the set of consecutive integers from x to y?

(1) The range of the set of integers from x to y inclusive is 31.

(2) The mean of the set of integers from x to y inclusive is 16.






Directions: Read each statement and assess

29. I would rather live alone than with a flat-mate.

A. Not true about you

B. A little true about you

C. Generally true about you

D. Completely true about you

30. It is dangerous to rely too heavily on others.





31. Most people are reliable.





32. Others do not see things as I do.





33. I would rather watch television than spend time with friends.





34. I am usually the most active member of a study group.





35. I work harder than most people to achieve success.





36. I expect to be influential in my profession.





37. I need to consider a matter thoroughly before I act.





38. I prefer working in a group to working alone.





In this section of the exam, you will be presented with two setsof shapes labelled 'Set A' and 'Set B'. You will also be shown a'Test Shape'. Your task is to determine whether the test shapebelongs to Set A or Set B or neither set.

You have to work out in what way the shapes in Set A aresimilar to each other, and in what way the shapes in Set B aresimilar to each other. You then have to decide whether the testshape belongs to Set A, Set B or neither set.

39.

A. Set A

B. Set B

C. Neither

40.

A. Set A

B. Set B

C. Neither

41.

A. Set A

B. Set B

C. Neither

42.

A. Set A

B. Set B

C. Neither

43.

A. Set A

B. Set B

C. Neither

44. At a certain telephone factory, 30 percent of the telephonesproduced are model A phones, and the rest are model B. If20 percent of the model A phones are defective and 75% ofthe model B phones are not defective, what percent of all thephones produced are defective?

A. 5%

B. 16%

C. 20%

D. 20.5%

E. 23.5%

49. 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

46. In triangle XYZ, the length of side XY is 40. Is triangle XYZa right triangle?

(1) The length of side YZ is 9.

(2) The length of side XZ is 41.






47. If Trinity was 32 years old exactly 7 years ago, how old wasStar exactly 11 years ago?

(1) Star is now twice as old as Trinity.

(2) Fifteen years ago, Clint was 6 years older than Trinity and33 years younger than Star.






48. 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



49.

A. Set A

B. Set B

C. Neither

50.

A. Set A

B. Set B

C. Neither

51.

A. Set A

B. Set B

C. Neither

52.

A. Set A

B. Set B

C. Neither

53.

A. Set A

B. Set B

C. Neither



54.

A. Set A

B. Set B

C. Neither

55.

A. Set A

B. Set B

C. Neither

56.

A. Set A

B. Set B

C. Neither

57.

A. Set A

B. Set B

C. Neither

58.

A. Set A

B. Set B

C. Neither

59. The original price of a certain computer will be reduced by15 percent to the sale price of $544. If the original price werereduced by 5 percent instead, what would be the sale price?

A. $576

B. $581

C. $594

D. $608

E. $624

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

(1) x is a multiple of 3.

(2) x is a multiple of 5.






61. In the figure below, if point C is the center of the circle andDB = 10, what is the length of DE in triangle EDB?

(1) DE is parallel to CA.

(2) x = 45o






62. 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.






63. 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

Directions: Read the following scenarios and assess thestatements that follow.

The Animal Dilemma

During evenings and weekends, Rashid delivers food for arestaurant located approximately 20 minutes from his home.Several times each month, he delivers an order to the Colefamily. On each visit, Rashid notices the Cole's dog barking andstraining against a rope tying it to a tree in the yard. Rashid hasoften heard family members shouting at the dog to be quiet,and has twice shooed away neighbourhood children who wereteasing the clearly agitated animal. Rashid has also noticed thatthe dog is gaunt and often seems thirsty. He has never visitedthe house when the dog was not tied to the tree and he hasnever seen anyone feed or play with the dog.

Rashid's sister, Malika, has been asking their parents for a dogfor years and their parents have finally decided that she's oldenough to be responsible for a pet. One afternoon, the familyvisits an animal rescue organisation to find a dog to adopt.Malika chooses a dog that looks very much like the dog Rashidhas seen outside the Cole's house. The attendant says that themalnourished dog was brought to the shelter by a volunteerwho found it running around with no identification. It had only abroken rope around its neck.

Rashid's family brings home the dog, which they name Sparky.Sparky quickly bonds with Malika and begins to look healthieralmost immediately. The dog gains weight and appears to bequite content in the home.

When he makes his next delivery to the Cole house, Rashidnotices that the dog is not tied to the tree. On his way backto the restaurant he sees signs posted in the neighbourhoodasking if anyone has seen the Cole's dog, Jack. When Rashid

arrives home that evening, he takes Sparky out in the yard.When he calls Sparky 'Jack' the dog comes to him.

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

64. It is never right to knowingly keep something that does notbelong to you.

A. Strongly Agree

B. Agree

C. Disagree

D. Strongly Disagree

65. Failure to disclose information is not the same thing aslying.

A. Strongly Agree

B. Agree

C. Disagree


66. Animal welfare is more important than property rights.

A. Strongly Agree

B. Agree

C. Disagree


67. Sometimes you have to do what's morally right rather thanwhat's legally right.

A. Strongly Agree

B. Agree

C. Disagree


68. It's not acceptable to make an important decision based onlimited information.

A. Strongly Agree

B. Agree

C. Disagree


69. Individuals should be allowed to remove a pet from a homeif they believed it to be mistreated.

A. Strongly Agree

B. Agree

C. Disagree


70. It is important to follow rules.

A. Strongly Agree

B. Agree

C. Disagree


Codes for complex information and emotions

A different team of anthropologists has discovered additionalsymbols used by the chimpanzees as part of their code system.These symbols affect the interpretation of the previous symbolsand are as follows:

71. What is the best interpretation of the following codedmessage: 7E, BC(101, 107G)

A. Don't give me food because I am not hungry.

B. We all need food so we can become strong.

C. Less food will make us all weak.

D. Without food, all the chimpanzees will die.

E. If there is no food, we will all be hungry and weak.

72. What is the best interpretation of the following codedmessage: D(1AF), 102, (2, 1)

A. Run quickly when you see humans approaching.

B. Quickly climb a tree when you hear human voices.

C. Run as fast as you can when you hear humans coming.

D. Quickly run as soon as you hear anything.

E. Move out of the way if humans are coming towards you.

73. What would be the best way to encode the followingmessage: All the strong chimpanzees must fight the dangerouspredators.

A. 14B, 105, (201, 10B)

B. B(107, 14), 105, (6, 10)

C. (107B, 14), (105, 10)

D. (107B, 14), 105D

E. 107B, 14, (201, 6, 10)

74. What is the best interpretation of the following codedmessage: 206, 14, 105, 206G, 14, 106

A. Fighting is bad; dancing is good.

B. Fighting chimpanzees are trouble; dancingchimpanzees are fun.

C. A wicked chimpanzee battles on; a virtuouschimpanzee parties on.

D. An evil chimpanzee fights, while a mild-manneredchimpanzee dances.

E. Mean chimpanzees fight, good chimpanzees dance.

75. What is the best interpretation of the following codedmessage: 11J, 16L, A(A6)

A. Danger! Snakes in the mud!

B. Snakes in the mud are dangerous.

C. Nothing looks more dangerous than snakes in the mud.

D. Nothing is more dangerous than a snake in the mud.

E. Muddy snakes are the greatest danger.

76. What is the best interpretation of the following codedmessage: 14, 1, 207(110), HC

A. The chimpanzee put a funny hat on his head.

B. The chimpanzee put a funny hat on his head.

C. Chimpanzees look funny with hats on their heads.

D. Chimpanzees in hats are good for a laugh.

E. Chimpanzees wear hats, but don't laugh.

77. Which of the following would be the most useful and secondmost useful additions to the codes to convey the messageaccurately?

Message: Tonight let's eat before we take the fight to thehumans.

A. tonight

B. let

C. eat

D. before

E. take

78. What would be the best way to encode the followingmessage: Funny hats make for cheeky chimpanzees.

A. 110(207), 14K(208)

B. 110(207), 14(208)

C. 110, 207, 208, 14

D. 207, 110, 14, 208

E. 110, 207K, 14, 208K


Message: Keep dancing, man, or the fire under the rocks willburn your feet.

A. keep

B. man

C. fire

D. burn

E. feet

80. What would be the best way to encode the followingmessage: Sharp teeth are a weapon against hunger.

A. 111(109), 112, 101(112)

B. 101, 109, 111, 112

C. 101, 109, 111, 112, 105

D. 111(109), 112, 105(101)

E. 111(109), 101(112), 105

81. What would be the best way to encode the followingmessage: I get angry when humans hurt chimpanzees.

A. 205C, 202, (105, 14)

B. 205, 2E, 14

C. 205C, (2, 202, 14)

D. 205, 13C, (202, 14)

E. 205C, 13, 105(2, 14)

82. What is the best interpretation of the following codedmessage: 208(2), 2B(13, 207), 14B(13, 6)

A. What's funny to humans is a threat to chimpanzees.

B. All humans find a cheeky man funny; all chimpanzeesfind him dangerous.

C. Humans and chimpanzees see a cheeky man verydifferently.

D. To humans, a cheeky man seems like a laugh; tochimpanzees, he's a danger.

E. Humans see a cheeky man as a laugh; chimpanzeessee him as a danger.


Message: I am afraid to sleep during the day because there aredangerous predators that might attack me.

A. Afraid

B. Sleep

C. Day

D. Dangerous

E. Attack

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

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

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






85. If and ADC is a right angle, what is the area

of triangle ABC?

(1) AC = 20

(2)






GMAT Practice Set 13 - Quantitative

Documents

Transcript of GMAT Practice Set 13 - Quantitative