GMAT Practice Set 13 - Quantitative

20. 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.

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

2. If 240 of the patients have either blood type A or blood type B, 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 require blood transfusions, how many units of blood of types A, B, or AB must it be able to provide? Assume that the patients requiring the transfusions are distributed among the blood types proportionally, and that each patient requiring a transfusion requires 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 be delivered to persons with any blood type. If the hospital has 350 patients at present, and has on hand 50 units each of types A and B blood plus 25 units of type AB blood, how many units of type O blood must it have on hand if it meets its objective of having 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 for the 40 students in the fourth grade. How many teams are there if the coach wants to evenly divide the students to make sure there are more than 2 teams, with each team having more than 2 students? (1) If 17 fifth-graders are allowed to play in the tournament, one will have to serve as an alternate to evenly assign the fifth-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 the third-graders to teams. 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

7. Is x

x - |y|?

(1) y

x

(2) x

0

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.

8. A, B, C, and D are the vertices of a polygon. Is polygon ABCD a square? (1) The diagonals of ABCD are perpendicular bisectors of one another. (2) ABCD is a parallelogram. 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.

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 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

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. 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.

11. Jim received socks and ties for Father's Day. How many ties did he get? (1) The ratio of socks to ties is 3:2. (2) The total number of socks and ties that Jim received for Father's Day is 10. 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.

Directions: The following section contains statements about the way your think or might behave, as well as general statements about 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 B. False on the Whole C. True on the Whole D. Definitely True

14. I would rather spend the evening alone than attend a party. A. Definitely False B. False on the Whole C. True on the Whole D. Definitely True

15. I weight all my options carefully before making a decision. A. Definitely False B. False on the Whole C. True on the Whole D. Definitely True

16. I am more honest than most people I know. A. Definitely False B. False on the Whole C. True on the Whole D. Definitely True

17. My academic success is a reflection of my self-worth. A. Definitely False B. False on the Whole C. True on the Whole D. Definitely True

18. I make friends easily. A. Definitely False B. False on the Whole C. True on the Whole D. Definitely True

19. I am excited about the future. A. Definitely False B. False on the Whole C. True on the Whole 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) (2) x = 144 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.

21. 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.

22. What percent of Freedom City's 1,500 residents voted in its most recent election? (1) Four hundred males in Freedom City voted in its most recent election. (2) Of the 800 females in Freedom City, 60% voted in its most recent election. 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.

23. Of the 58 drinks sold at Darlene's Beverage Shop, 21 are carbonated. How many of the carbonated drinks sold in Darlene's Beverage Shop are caffeinated? (1) There are 30 caffeinated drinks sold in Darlene's Beverage Shop. (2) Twenty-two of the non-carbonated drinks sold in Darlene's Beverage Shop are not caffeinated. 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.

24. 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

25.

Note: Figure not drawn to scale. Is triangle ABC an isosceles?

(1) (2) x

y

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 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%

27. One million people live in a region consisting of several countries, including Country P and Country Q. How many people are citizens of both Country P and Country Q? (1) Country P has 135,000 citizens, and Country Q has 280,000 citizens. (2) There are 610,000 people who live in the region but are not citizens of Country P or Country Q. 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.

28. If x and y are positive integers, and y x, what is the median 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. 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.

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. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

31. Most people are reliable. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

32. Others do not see things as I do. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

33. I would rather watch television than spend time with friends. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

34. I am usually the most active member of a study group. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

35. I work harder than most people to achieve success. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

36. I expect to be influential in my profession. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

37. I need to consider a matter thoroughly before I act. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

38. I prefer working in a group to working alone. A. Not true about you B. A little true about you C. Generally true about you D. Completely true about you

In this section of the exam, you will be presented with two sets of shapes labelled 'Set A' and 'Set B'. You will also be shown a 'Test Shape'. Your task is to determine whether the test shape belongs to Set A or Set B or neither set. You have to work out in what way the shapes in Set A are similar to each other, and in what way the shapes in Set B are similar to each other. You then have to decide whether the test shape 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 telephones produced are model A phones, and the rest are model B. If 20 percent of the model A phones are defective and 75% of the model B phones are not defective, what percent of all the phones produced are defective? A. 5% B. 16% C. 20% D. 20.5% E. 23.5%

49. 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

46. In triangle XYZ, the length of side XY is 40. Is triangle XYZ a right triangle? (1) The length of side YZ is 9. (2) The length of side XZ is 41. 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.

47. If Trinity was 32 years old exactly 7 years ago, how old was Star exactly 11 years ago? (1) Star is now twice as old as Trinity. (2) Fifteen years ago, Clint was 6 years older than Trinity and 33 years younger than Star. 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.

48. 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

In this section of the exam, you will be presented with two sets of shapes labelled 'Set A' and 'Set B'. You will also be shown a 'Test Shape'. Your task is to determine whether the test shape belongs to Set A or Set B or neither set. You have to work out in what way the shapes in Set A are similar to each other, and in what way the shapes in Set B are similar to each other. You then have to decide whether the test shape belongs to Set A, Set B or neither set.

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

In this section of the exam, you will be presented with two sets of shapes labelled 'Set A' and 'Set B'. You will also be shown a 'Test Shape'. Your task is to determine whether the test shape belongs to Set A or Set B or neither set. You have to work out in what way the shapes in Set A are similar to each other, and in what way the shapes in Set B are similar to each other. You then have to decide whether the test shape belongs to Set A, Set B or neither set.

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 by 15 percent to the sale price of $544. If the original price were reduced 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. 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.

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

(1) DE is parallel to CA. o

(2) x = 45

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.

62. In a certain school district, math teachers are considered qualified if they have either a math degree or a teaching credential in math. If 5% of math teachers have both a math degree and a teaching credential in math, what percentage of math teachers are considered qualified? (1) Fifteen percent of math teachers lack a teaching credential in math, and 90% lack a math degree. (2) Eighty percent of math teachers have a teaching credential in math but not a math degree, and 5% have a math degree but not a teaching credential. 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.

63. 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

Directions: Read the following scenarios and assess the statements that follow. The Animal Dilemma During evenings and weekends, Rashid delivers food for a restaurant located approximately 20 minutes from his home. Several times each month, he delivers an order to the Cole family. On each visit, Rashid notices the Cole's dog barking and straining against a rope tying it to a tree in the yard. Rashid has often heard family members shouting at the dog to be quiet, and has twice shooed away neighbourhood children who were teasing the clearly agitated animal. Rashid has also noticed that the dog is gaunt and often seems thirsty. He has never visited the house when the dog was not tied to the tree and he has never seen anyone feed or play with the dog. Rashid's sister, Malika, has been asking their parents for a dog for years and their parents have finally decided that she's old enough to be responsible for a pet. One afternoon, the family visits an animal rescue organisation to find a dog to adopt. Malika chooses a dog that looks very much like the dog Rashid has seen outside the Cole's house. The attendant says that the malnourished dog was brought to the shelter by a volunteer who found it running around with no identification. It had only a broken rope around its neck. Rashid's family brings home the dog, which they name Sparky. Sparky quickly bonds with Malika and begins to look healthier almost immediately. The dog gains weight and appears to be quite content in the home. When he makes his next delivery to the Cole house, Rashid notices that the dog is not tied to the tree. On his way back to the restaurant he sees signs posted in the neighbourhood asking 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 the following statements? 64. It is never right to knowingly keep something that does not belong to you. A. Strongly Agree B. Agree C. Disagree D. Strongly Disagree

65. Failure to disclose information is not the same thing as lying. A. Strongly Agree B. Agree C. Disagree D. Strongly Disagree

66. Animal welfare is more important than property rights. A. Strongly Agree B. Agree C. Disagree D. Strongly Disagree

67. Sometimes you have to do what's morally right rather than what's legally right. A. Strongly Agree B. Agree C. Disagree D. Strongly Disagree

68. It's not acceptable to make an important decision based on limited information. A. Strongly Agree B. Agree C. Disagree D. Strongly Disagree

69. Individuals should be allowed to remove a pet from a home if they believed it to be mistreated. A. Strongly Agree B. Agree C. Disagree D. Strongly Disagree

70. It is important to follow rules. A. Strongly Agree B. Agree C. Disagree D. Strongly Disagree

Codes for complex information and emotions A different team of anthropologists has discovered additional symbols used by the chimpanzees as part of their code system. These symbols affect the interpretation of the previous symbols and are as follows:

71. What is the best interpretation of the following coded message: 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 coded message: 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 following message: All the strong chimpanzees must fight the dangerous predators. 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 coded message: 206, 14, 105, 206G, 14, 106 A. Fighting is bad; dancing is good. B. Fighting chimpanzees are trouble; dancing chimpanzees are fun. C. A wicked chimpanzee battles on; a virtuous chimpanzee parties on. D. An evil chimpanzee fights, while a mild-mannered chimpanzee dances. E. Mean chimpanzees fight, good chimpanzees dance.

75. What is the best interpretation of the following coded message: 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 coded message: 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 second most useful additions to the codes to convey the message accurately? Message: Tonight let's eat before we take the fight to the humans. A. tonight B. let C. eat D. before E. take

78. What would be the best way to encode the following message: 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

79. Which of the following would be the most useful and second most useful additions to the codes to convey the message accurately? Message: Keep dancing, man, or the fire under the rocks will burn your feet. A. keep B. man C. fire D. burn E. feet

80. What would be the best way to encode the following message: 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 following message: 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 coded message: 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 chimpanzees find him dangerous. C. Humans and chimpanzees see a cheeky man very differently. D. To humans, a cheeky man seems like a laugh; to chimpanzees, he's a danger. E. Humans see a cheeky man as a laugh; chimpanzees see him as a danger.

83. Which of the following would be the most useful and second most useful additions to the codes to convey the message accurately? Message: I am afraid to sleep during the day because there are dangerous 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 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.

85. If

and ADC is a right angle, what is the area

of triangle ABC?

(1) AC = 20 (2) 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.