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1. A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $360, $390, $430, $415 and $450. What must his average income over the next two weeks be to increase his average weekly income to $460 over the 7-week period?

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2. A fish tank is one-fourth full of water. If six gallons of water were added, the tank would be three-fourths full. What is the capacity of the tank (in gallons)?

3. The value of a cellular phone declines by 33 percent of its current value every year. At this rate, approximately how many years will it takes for the price of a $243 cell phone to reach $72?

4. If a certain factory produces 24 Pepsi bottles of one liter capacity each in 12 minutes, approximately how many Pepsi bottles does it produce in one hour?

5. The deadline for an assignment was Sunday, January 27. The deadline was then extended for 15 days. What day of the week is new deadline?

6. A rectangular tiled floor is composed of 70 square tiles. The rectangular floor is rearranged so that 2 tiles are removed from each column and 4 tiles are added to each row. After the change in layout, the floor will still have 70 tiles, and still be rectangular. How many columns are in the tile floor before the change in layout?

7. City B is 4 miles due east of city A. City C is 3 miles due south of city B. City D is 4 miles due east of city C, and city E is 9 miles due north of city D. What is the distance between city A and city E?

8. Of the 150 players in a baseball league, 90are left-handed. Which of the following is the percentage of players that are not left-handed?

9. A car travels at a rate of 55 mph for the first 4 hours of a trip. The car then travels 70 mph for each additional hour of the trip. The average speed of the entire trip was 60 mph. How long was the trip?

10. An Olympic diver received the following scores: 6.0, 7.0, 7.5, 6.5 and 8.0. The standard deviation of these scores is in which of the following ranges?

11. Jack and Kevin play in a basketball game. If the ratio of points scored by Jack to points scored by Kevin is 3 to 5, which of the following could NOT be the total number of points scored by the two boys?

12. Dean’s Department Store reduces the price of a $40 shirt by 15%, but later raises it again by 20% of the sale price. What is the final price of the shirt?

13. The average weekly salary of 12 workers and 3 managers in a factory was $600. A manager whose salary was $720 was replaced with a new manager, then the average salary of the team fell to $580. What is the salary of the new manager?

14. Tom takes exactly 30 minutes to rake a lawn and his son Mike takes exactly 60 minutes to rake the same lawn. If Tom and Mike decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them rake the lawn?

15. A car drives 40 miles on local roads at 20 mph, and 180 miles on the highway at 60 mph, what is the average speed of the entire trip?

16. How many odd factors does 210 have?

17. A certain company sells tea in loose leaf and bagged form, and in five flavors: Darjeeling, earl grey, chamomile, peppermint, and orange pekoe. The company packages the tea in boxes that contain either 8 ounces of tea of the same flavor and the same form, or 8 ounces of tea of 4 different flavors and the same form. If the order in which the flavors are packed does not matter, how many different types of packages are possible?

18. Karen sold her house at a loss of 25 percent of the price that she originally paid for the house and then bought another house at a price of 30 percent less than the price she originally paid for her first house. If she sold the first house for $225,000, what was her net gain, in dollars, for the two transactions?

19. A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?

20. If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?

21. ABC is an equilateral triangle, and point D is the midpoint of side BC. A is also a point on the circle with radius r = 3. What is the area of the triangle? Statement #1: The line that passes through A and D also passes through the center of the circle. Statement #2: Including point A, the triangle intersects the circle at exactly four points.

22. In a certain company, at least 200 people own manual transmission vehicles. If 12 percent of the people who own manual transmission vehicles also own automatic transmission vehicles, do more people own automatic transmission vehicles than own manual transmission vehicles? Statement #1: 5 percent of the people who own an automatic transmissions vehicle also own a manual transmission vehicle. Statement #2: 15 people own both an automatic transmission vehicle and a manual transmission vehicle.

23. What is the value of x ⁄ 2? Statement #1: x is 1 ⁄ 5 less than 9 ⁄ 10 Statement #2: x is between 2 ⁄ 5 and 4 ⁄ 5

24. Artistic success as an actor is directly dependent on how well an actor has developed his craft. This has been demonstrated by the discovery of a positive relationship between the number of classes taken by an actor and the number of professional productions in which the actor has appeared in the past two years. Each of the following, if true, cast doubt on the author's argument about artistic success for actors EXCEPT:

25. Music Industry executives have claimed that online file-sharing networks are significantly hurting their business because potential consumers are getting music for free that they would otherwise purchase. However, after file-sharing networks started to become popular, CD sales actually increased. Which of the following, if true, best explains the apparent contradictions described above?

26. A minor league baseball franchise experienced a drop in attendance this week after they suffered three losses by margins of ten runs or more last week. Many spectators of those games wrote letters to the editors of the local sporting news, complaining of the poor play of the team in those three losses. Nevertheless, the front office of this baseball franchise maintains that the team’s poor play in those three losses has nothing to do with this week’s decline in attendance. Which of the following, if true, most strongly supports the position held by the front office of the baseball franchise?

27. State politicians are optimistic that the state’s economic downturn will not be as severe as had been predicted. Their hopes are bolstered by the data released last week: the jobless rate declined two full percentage points in the last six months. But, many economists have pointed out the flight of unemployed residents to the bordering states where jobs are plentiful. Furthermore, many out of work residents have been rehired at minimum wage: virtually all new jobs in the state in the past year have been minimum wage jobs. Economists cast grave doubts on the economic well-being of the state. In the argument given, the two portions in boldface play which of the following roles?

28. Amid the present wave of job redundancies for skilled but unemployed youth, the publication of an encouraging report on the viability of garage startup enterprises has led the Federal government to set up an investment fund, under its Federal light-industry program, to provide capital for such enterprises. This plan has drawn opposition from various quarters; the critics claim that similar funds, also set up under the Federal light-industry program, that aim to stimulate small enterprises frequently end up harming other American social groups unconnected to these enterprises. Which of the following best provides support for the claim made by the critics above?

29. Which of the following best completes the argument? Dexter Solutions is one of the most successful Information Technology (IT) consulting companies around the world. It primarily deals in cloud computing domain. Alex is an IT consultant who specializes in IT infrastructure services. Thus, Alex surely cannot be a consultant at Dexter Solutions because __________.

30. In order to better differentiate its product from generic brands, the cereal company first hired a marketing firm that specializes in creating campaigns to build brand awareness and then retools its factory to produce a variety of different shapes of cereal.

31. Believed to be one of the first widely read female authors of the Western world, Christine de Pizan's masterwork The Book of the City of the Ladies was written in 1405 and is a history of the Western world from the woman's point-of-view.

32. John and Tim went to the bank and he made a deposit.

33. Although the average Girl Scout joins the organization at age 14, they have already been Brownies for several years.

34. In 1980, the Netherlands agreed to limit fishing in certain Atlantic Ocean beds, but in 1981, they terminated the agreement.

35. While brokers, as a rule, are not permitted to know executive access codes, in many instances they are widely known.

36. Despite seeming tame and intelligent, the state troopers had no choice but to shoot the loose Gorilla.

37. The number of workers have increased steadily each year.

38. The commercial airliner flew too close to the military base, an act that the army saw as a violation of its air space.

39. For the past five years, US consumption of eggs has decreased. The National Egg Council plans to reverse this trend by launching an advertising campaign extolling the healthful benefits of eggs. Which one of the following, if true, will provide the strongest support for the National Egg Council’s plan?

40. In an effort to reduce the amount of fat and the number of calories that they consume, many citizens of the United States are making significant changes in their diets. For them staying in shape and looking fit now take precedence over eating foods that are filling and that taste good. It is likely that if they maintain these new priorities with consistent regard for other health issues, the length and quality of their lives will increase significantly. Which one of the following is an assumption upon which the argument is based?

41. Singing in the Rain Umbrella Corp. plans to institute a marketing campaign in which it sells umbrellas at the exits of subway stations during rainy weather. The umbrellas will be sold at a price that is slightly higher than normal. The company thinks the sales of these higher – priced umbrellas will be greater than normal sales of umbrellas, because the purchasers of these umbrellas will be forced to buy them if they do not want to get wet. The author assumes which of the following about the purchasers of the umbrellas in predicting the sales of the umbrellas?

42. A leading cement manufacture has been having problems processing manufacturing and delivery records since it expanded its operations. To solve this problem it plans to install a new platform on its central computing system which will run its tracking program five times faster than the current system does. Which one of the following castes the most serious doubt on the manufacture’s plan?

43. Critics insist that government regulation of business has made it more difficult for American businesses to operate profitably and has destroyed their ability to compete with foreign producers of consumer goods. This argument is not compelling. Government regulation of business was never as active in this nation as it was between the years 1975 and 1985, and in those years the average net worth of American family increased more than it had in any previous decade. The author’s argument would be most seriously weakened if it were true that

44. A recession is not caused by any economic force other than nation wide loss of confidence. If the economy is perceived as being unstable, banks are conservative in lending money, investors take fewer risks and hence economic growth is slowed. Which of the following, if true, would most strengthen the argument above.

45. In an effort to increase revenues, Sky Air recently partnered with several airlines to create a joint frequent-flier program. In the new program, miles earned on all partner airlines can be combined for reward tickets valid on any airline in the partnership. Sky Air’s CEO cites a recent increase in the number of passengers on all the partner airlines as evidence that the new frequent-flier program is having the desired effect. Industry analysts doubt the CEO’s claim. Which of the following, if true, best supports the analysts’ positions?

46. This question presents a sentence, part of which or all of which is underlined. Beneath the sentence you will find five ways of rephrasing the underlined part. The first of these repeats the original; the other four are different. If you think the original is best, choose option A, else pick one of the others 15. Neither my mother nor my father, both of whom are English professors, agree with my contention that James Joyce’s novel Ulysses is overrated.

47. A number of military personnel who served in Operation Desert Storm has encountered a series of unexplainable symptoms that were attributed to Gulf War syndrome.

48. Although Smith once championed the charity, he changed his mind after journalist linked its origin to a corrupt individual.

49. A swarm of desert honeybees, a phenomenon seen by few of the select scientists and entomologists, occur when a portion of the colony leave the current nest to find a new home.

50. During the State of the Union address every February the president announced the amount of the new programs the administration planned to create and the amounts of money it invested in each one.

51.Of the numerous decisions facing the Supreme Court this term, the question of an individual’s right to die is for certain the more perplexing.

52. In response to losing a significant part of its market share to a competitor, the soft drink company has cut costs by withholding executive bonuses, changed their advertising agency, and have redesigned the company logo.

53. Now even directors of off- Broadway productions, desperate for actors who are talented, charismatic, and aspiring more to a solid career in the theater than to the lucrative rewards and stardom proffered by movie moguls and studios, are turning to independent casting directors for guidance in assembling their casts.

54. The Supreme Court can effectively rule on a case in two ways, either by deciding to hear the case and handling down its judgment, or rather to simplify refuse to hear the case at all.

55. The establishment of land trusts in New England has been praised not because of its restricting overdevelopment but because it allows the inheritance by future generations of the property.

56. Some students of literary criticism consider the theories of Blaine to be a huge advance in modern critical thinking and question the need to study the discounted theories of Rauthe and Wilson.

57. One of the possible results of the further depletion of the ozone in the atmosphere would be a sharp increase in the demand for sunscreens. Many of the ingredients in sunscreens are natural, and the demand for these products will require strict conservation laws. This will represent the victory for those who desire greater protection for the environment. Which one of the following best states the conclusion in the passage above?

58. The American division of the Acme running shoe company should begin marketing running shoes with double-thick soles. Acme’s Swedish division is selling a large number of these items, and is enjoying its most profitable quarter ever. Which of the following is an assumption made by the author of the argument above?

59. Currently about 70 percent of all urban households recycle some portion of their garbage, 25 percent more than did ten years ago. This increase can be attributed , in part , to the fact that a larger portion of the population is now under the age of 47. Of the following, which can be most properly inferred from the passage above?

60. State colleges have lower tuitions than do private colleges because many of their operating costs are covered by federal and state funds. Which of the following inferences is best supported by the statement made above?

61. Many people feel that hard work deserves a reward. However, this is not true. Hard work should be its own reward, because such work intrinsically gives the worker satisfaction when it is performed satisfactorily. The author of the argument draws his or her conclusion by

62. If we reduce the salaries of our employees, then profits will increase by 35 percent. Because we must increase our profits, it is clear that employee salaries must be reduced. Which of the following most closely parallels the reasoning used in the argument above?

63. As we traveled the back roads of Arkansas, each of us were equipped with a canteen, a knife, and a compass.

64. The best labor negotiators are the ones that have the ability of settling even the most irreconcilable stalemates.

65. If the range of the set of numbers {150, 90, 125, 110, 170, 155, x, 100, 140} is 95, which of the following could be x?

67. a, b, and c are positive integers. If a, b, and c are assembled into the six-digit number abcabc, which one of the following must be a factor of abcabc?

68. Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?

69. Which of the following CANNOT yield an integer when divided by 10? (i) Product of two prime numbers (ii) An integer less than 10 (iii) Sum of three consecutive integers (iv) An odd integer

70. A number, K, is a positive integer with the special property that 3 times its unit is equal to 2 times its 10 digit. How many such numbers exist between 10 & 99?

71. In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?

72. The marks scored by a student in three subjects are in the ratio of 4: 5: 6. If the candidate scored an overall aggregate of 60% of the sum of the maximum marks and the maximum mark in all three subjects is the same, in how many subjects did he score more than 60%?

73. A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

74. The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers?

75. If 12(22)(35) is an integer, which of the following CANNOT be the value of p?

76. Of the 90 houses in a certain village A, 55 own a balcony. How many of the houses in the village A have a lawn?

(1) 35 of the houses in the village A own a balcony but do not have a lawn.
(2) The number of houses in the village A that have a balcony and a lawn is equal to the number of houses in the village A that have neither a balcony nor a lawn.

77. Norman and Andrew can design a room in 9 hours working together continuously. What is the time taken by Andrew to design the room alone?

(1) Working continuously, Norman takes 12 hours to design the room alone.
(2) Working continuously, Andrew takes 12 hours to design one third of the room.

78. What is the difference of the highest and lowest integer salaries in millions of the five people in a company?

(1) The mean and the median of the five salary figures are 5 million.
(2) Mode and the Highest salary among the five people is 8 million.

79. If x represents the centre of a circular clock and the point of the clock hand is on the circumference of the circle, does the shaded sector of the clock represent more than 10 minutes?

(1) The clock hand has a length of 20.
(2) The area of the sector is more than 66??.

80. If Set S = {1, a, b} and a, b is greater than or equal to 1 and a ≤ b, what is the value of “b”?

(1) The standard deviation of Set S is 0.
(2) The range of Set S is 0.


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