1. How many complete tanks of water, each with a capacity of 3 cubic meters, are needed to fill an empty cylindrical tank whose height is 3 meters and whose base has a radius of 2 meters? A) 12 B) 13 C) 14 D) 15 E) 16 2. Any serious policy discussion about acceptable levels of risk in connection with explosions is not well served if the participants fail to use the word “explosion” and use the phrase “energetic disassembly” instead. In fact, the word “explosion” elicits desirable reactions, such as a heightened level of attention, whereas the substitute phrase does not. Therefore, of the two terms, “explosion” is the one that should be used throughout discussions of this sort. Which of the following is an assumption on which the argument above depends? (A) In the kind of discussion at issue, the advantages of desirable reactions to the term “explosion” outweigh the drawbacks, if any, arising from undesirable reactions to that term. (B) The phrase “energetic disassembly” has not so far been used as a substitute for the word “explosion” in the kind of discussion at issue. (C) In any serious policy discussion, what is said by the participants is more important than how it is put into words. (D) The only reason that people would have for using “energetic disassembly” in place of “explosion” is to render impossible any serious policy discussion concerning explosions. (E) The phrase “energetic disassembly” is not necessarily out of place in describing a controlled rather than an accidental explosion 3. A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one-gallon or half- gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture? (A) 2 (B) 2 ˝ (C) 3 (D) 3 ˝ (E) 4 4. To buy a computer system, a customer can choose one of 4 monitors, one of 2 keyboards, one of 4 computers and one of 3 printers. Determine the number of possible systems that a customer can choose from. (A) 96 (B)98 (C)98.5 (D) 94 (E)100 5. A student can select one of 6 different mathematics books, one of 3 different chemistry books and one of 4 different science books. In how many different ways can a student select a book of mathematics, a book of chemistry and a book of science? A) 14 (B)12 (C)72 (D) 74 (E)76 6. How many 6 digit telephone numbers can be constructed with the digits 0, 1, 2, ..., 9 if each number starts with 35 and no digit appears more than once? A) 2670 (B)2680 (C)1670 (D) 1580 (E)1680 7. If the average cost of producing one widget decreases from $12.50 to $10.75, what is the percent of the decrease? (A) 10 (B) 12.5 (C) 14 (D) 15 (E) 16 8. If a + b – c = d, and if a – b + c = e, then a = (A) 1/2 (d + e) (B) d – e (C) 2d + e (D) d + e (E) 2(d + e) 9. What is the average (arithmetic mean) of 4x + 5, 7x-6,and -8x+2? (A)x + 1 (B)x + 1/3 (C)3x + 1 (D)3x + 1/3 (E)3x + 3 1/3 10. In a classroom of 35 students, 14 our male. What percent of the classroom is male? (A)14% (B)20% (C)30% (D)40% (E)50% 11. If the area of a triangle is 24 and its base is 6, what is the length of the altitude to that base? (A)3 (B)6 (C)8 (D)10 (E)unknown 12.Lenny's average score after 3 tests is 88. What score on the 4th test would bring Lenny's average up to exactly 90? (A)92 (B)93 (C)94 (D)95 (E)96 13. If an integer is divisible by 6 and by 9, then the integer must be divisible by which of the following? A. 12 B. 18 C. 24 D. 36 E. 54 14.If Jeff and Jimmy have less than 22 dollars between them, and Jeff has 8 dollars, which of the following could be the number of dollars that Jimmy has? I.12 II. 14 III. 16 A. I only B. III only C. I & III. D. I & II E. Neither I, II, nor III are correct 15.Stephanie drove at an average rate of 50 miles per hour for two hours and then increased her average rate by 50% for the next 3 hours. Her average rate of speed for the 5 hours was t miles per hour. What is the value of t? A. 55 mph B. 60 mph C. 65 mph D. 70 mph E. 75 mph 16.If 1 alpha = 2 betas and 1 beta = 3 gammas, how many alphas are equal to 36 gammas? A. 6 B. 12 C. 36 D. 72 E. 108 17. Price of One Pack Projected Number of Packs Sold $0.75 10,000 $0.80 9,000 $0.85 8,000 $0.90 7,000 $0.95 6,000 $1.00 5,000 The chart above describes how many packs of gum a company expects to sell at a number of possible prices per pack. Which of the following equations best describes the relationship shown in the chart, where n indicates the number of packs sold and p represents the price in dollars of one pack? A. n= -20,000p - 25,000 B. n= -20,000p + 25,000 C. n=-200p -250 D. n = 200p + 250 E. n = 20,000p - 25,000 18.What is the average of the first 50 positive integers? A. 25 B. 25.5 C. 26 D. 26.5 E. 27 19.At Joes Steakhouse the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour? A. $5.95 B. $4.25 C. $5.10 D. $3.25 E. $3.40 20. A florist buys roses at $0.50 a piece and sells them for $1.00 a piece. If there are no other expenses, how many roses must be sold in order to make a profit of $300? A. 100 B. 150 C. 200 D. 300 E. 600 21.A certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how many more minutes would it take to drain a full 600-gallon tank? (A) 9 (B) 15 (C) 18 (D) 24 (E) 25 22. If n is an even integer, which of the following must be an odd integer? (A) 3n-2 (B) 3(n+1) (C)n-2 (D)n/3 (E)n^2 23. Cindy has a collection of 80 records. If 40 percent of her records are jazz records, and the rest are blues records, how many blues records does she have? (A) 32 (B) 40 (C) 42 (D) 48 (E) 50 24. Express 2,750,389 in scientific notation. (A) 27.50389 x 105 (B) 275.0389 x 103 (C) 27.50389 x 106 (D) 0.2750389 x 107 (E) 2.750389 x 106 25. A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base? (A) 6 (B) 8 (C) 9 (D) 12 (E) 16 26. If A is the set of values of x at which F(x)=0, and B is the set of values of x at which g(x)=0, what can you say about the set of values of x at which f(x)g(x)=0? (A) It is the intersection of A and B. (B) It is the union of A and B. (C) It is a proper subset of the union of A and B. (D) It is the Cartesian product of A and B. 27. Evaluate the following expressions: (A) 4! = (B) 5! * 5! = (C) 3! * 0! = (D) 4! / 0! = (E) 6! / (2! * 4!) = 28. The present age of a father is 3 years more than three times the age of his son.Three years hence,father’s age will be 10 years more than twice the age of the son.Find the present age of the father. 29. One year ago the ratio of Ramu & Somu age was 6:7respectively. Four years hence their ratio would become 7:8. How old is Somu. 30. The length of a running trsain in 30% more than the length of another train B runnng in the opposite direction.To find out the speed of trtain B,which of the following information given in the statements P & Q is sufficient?. P : The speed of train A is 80 kmph Q : They took 90 sec to cross each other A. Either P & Q is sufficient B. Both P & Q are not sufficient C. only Q is sufficient D. Both P & Q are neeed 31.Pointing to a photograph, a man said, “I have no brother or sister but that man’s father is my father’s son.” Whose photograph was it ? 32. One day Jack left home and cycled 10 km southwards , turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometers will he have to cycle to reach the home straight ? 33-35) Each of the four friends Ms A, Mr. B, Ms C and Mr. D vacationed at one of the four places (each person vacationed at only one place) – Japan, Nepal, Egypt and Spain (not necessarily in this order). Each visited the places in one of the following months: January, March, May and November, and everyone went in a different month. i.C vacationed immediately before A but after the man who went for a vacation to Japan. ii.The person who left in March did not go to Egypt and his friend vacationed in May. iii. The person who went to Nepal vacationed immediately after D did. iv. A and B visited the friend, who went to Spain, to see his pictures. 33. Where did Ms C spend her vacations? a. Japan b. Nepal c. Egypt d. Spain e. Cannot be determined 34. Who vacationed in the month of March? a. Ms A b. Mr B c. Ms C d. Mr D e. Both Mr. B and Mr. C 35. Nepal was vacationed in which month? a. Jan. b. Mar. c. May d. Nov. e. Feb