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1. A cook prepares sandviches of which 24 contain meat, 32 contain fish, and 16 contain both meatand fish. If every sandvich contains meat, fish, or both, how many sandviches did the cook prepare?
| 2. If the average of a and b is 10 and a^2 - b^2 = 80, what is the value of b?
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3. If 7a – 9 = 6a + 4, then a =
| 4.In 1991, a box seat at the theater cost $84.50 per ticket, and parking costs were $14.50 per vehicle. If, for the 1992 season, box ticket prices went up by 18 percent and parking costs went up by 10 percent, how much more did it cost one person with one vehicle to spend a night at the theater in 1992?
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5.A football team lost 40 percent of the 150 games it played last season. If none of the games resulted in a tie, how many more games did the team win than lose last season?
| 6. Which fraction lies between 2/3 and 3/4 ?
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7. The circumference of a circle whose diameter is 7 cm is approximantely
| 8. (-3)^2-4(-3)=
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9. Which of the following is equilent to .00000072 ?
| 10. X= 10% of 400 Y= .01 x 400
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11. 105% of X= 26.250 Y=250 x 100
| 12.X= 12.5% Y= 1/8
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13.X= average of 0.3, -0.8, -0.2, 0.2, 0 Y=0.1
| 14. X= number of boxes if 14 rows of cartons with 12 cartons in a row and 8 boxes in each carton Y= 1344
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15. X= 5m-2n-(4m+n) Y=m+3n
| 16.If X > Y and Z is a positive number, which of the following relationship is not true ?
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17.If ab=5 and (a-b)^2= 19, what is the value of a^2 + b^2 ?
| 18. The area of triangle is 40. If its height is 2 units more than its base, what is the length of its base ?
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19. One wheel rotates once every 3 minutes and another rotates once every 7 minutes. If both wheels begin to rotateat the same time, after how many minutes will they both begin a rotation again ?
| 20. From a workforce of 500000 employed last year, 8% of the total employees had to be fired. How many were dismissed at that time ?
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21. What is the probability that a random selection of a ball drawn from a box containing 2 red balls, 3 blue balls and 4 white balls will be blue ?
| 22. Misha is now 3 years older than Tanya. If in 12 years, the sum of their ages will be 61, how old is Tanya now ?
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23. X= 5/8 Y= 60%
| 24. X= 0.5 x 8394/1/2 Y= 8300
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25. 2x- y= 3, x+ y= -6
| 26. Z < 0 X= 1/Z Y= Z^2
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27. p > 0, q < 0, X= pq Y= 0
| 28. 4/6= X/15
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29. X^2 + 3X + Y^2 = X^2 + 2Y + Y^2
| 30. X(-2, 2), Y(-2,-1) ; Z(1,-1), T(1,-3)
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| 31. X= The area of circle with radius 10 cm Y= The circumference of a circle with diameter 100 cm.
| 32.If 4/5 of a number is 12, what is 5/6 of the number ?
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33.Express (2a-3)(3a+5) as trinominal:
| 34. What is the best expression for ammount of a change C, received from 1$ bill after buying N articles at 5 cents each ?
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35. If 4X- 3 = 17, than X=
| 36. In a triangle XYZ, |XY|=|XZ| and angle X is twice bigger than angle Y. Find the number of degrees in the measure of the exterior angle at Z
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37.Approximately, how far does a rolling wheel with 8 cm radius travel in 5 revolutions ?
| 38. Find the value of 8/(3-X) if X= -1
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39. If X/3 + X/4 = 7, then X/6=
| 40. The recipe for a cake called for 2/3 cup of sugar. How many cakes did Tanya bake for her birthday, if she used 4 cups of sugar ?
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41. If the width of a rectangle is increased by 10% and the length is decreased by 20%, by what percent does the area decrease?
| 42. If x units are added to the length of the radius of a circle, what is the number of units by which the circumference of the circle is increased?
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| 43.How much did Tanya spend at the hardware store? (1) Sandra bought 14 items. (2) The cost of each of the 4 identically priced screwdrivers she bought was half the cost of the 10 identically priced drill bits she bought.
| 44. Is X positive? (1) 15X > 16X (2) X + 15 > 0
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| 45. Is the integer q a perfect square? (1) q is even. (2) 13 < q < 17
| 46. In his first year of employment, Mr. Downing earned $20,000. How much did Mr. Downing earn last year? (1) Each year, Mr. Downing earns 10 percent more than he did during the previous year. (2) Last year, Mr. Downing earned $2,000 more than he did during the previous year.
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| 47. How many of the books on the shelf have blue covers? (1) Of the books on the shelf, 15 percent have leather covers and 40 percent of the leather-covered books are novels. (2) There are 36 blue leather-covered books on the shelf.
| 48. Is X > Y ? (1)0 < X < 0.5 (2)0.4 < Y < 1
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| 49. If boul S contains only marbles, how many marbles are in bowl ? (1)If 1/4 of the marbles were removed, the bowl would be filled to 1/2 of its capacity (2)If 100 marbles were added to the bowl, it would be full
| 50.If the positive integers P, Q, R, S, T increase in order of size, what is the value of R ? (1) The value of T is 6 (2)The value of each successive integer is one more than the preceding integer
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51. A fish tank is half full of water. When 10 gallons are added, the tank is 7/8 full. What is the capacity of the tank?
| 52. It takes 6 technicians 10 hours to build and program a new server from Direct Computer, with each working at the same rate. If six technicians start to build the server at 11:00 AM, and one technician per hour is added beginning at 5:00 PM, at what time will the server be complete?
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53. If the ratio of 1/5 to 1/4 is equal of 1/4 to X, then, what is the value of X ?
| 54. If it takes 6 printing presses 4 hours to print 5000 newspapers, how long should it take 3 presses to print 3000 newspapers?
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55. Which of the following fractions is the largest?
| 56. If x > 3 and y > -1, then which of the following is always true:
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57. A ranch has horses and ponies. Five-sixths of the ponies have horseshoes. Half of the ponies with horseshoes are Icelandic ponies. What is the minimum number of ponies on the ranch?
| 58. If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?
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59. If n is an even integer, which of the following must be an odd integer?
| 60. Misha has exactly enough money to buy 9 bottles of water. If each bottle cost 2 cents less, Misha has exactly enough money to buy 1 more bottle. How much money does Misha have?
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61. The ratio of Marketing to Accounting to Finance majors at Metropolis Business School is 7 : 8 : 10, respectively. If there are 500 students in the school, how many of them are Finance majors?
| 62. The price of a microchip declines by 66% every 6 months. At this rate, approximately how many years will it take at this rate for the price of an $81 microchip to reach $1 per chip?
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63. A computer manufacturer sells a PC to a retailer for 40 percent more than it cost to produce. A customer buys the computer for 25 percent more than the retailer paid for the computer. The price the customer paid was what percent greater than the cost of producing the computer?
| 64. At the Gymnastics Club annual car wash, it takes m minutes to wash c cars. At this rate, in terms of m, how many HOURS will it take the Club to wash 5c cars?
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65. It takes Misha 30 minutes to hack a database. It takes Sasha 60 minutes to hack a database. If Misha and Sasha decide to hack one together, and they don't get into each other's way, how long will it take them to finish hacking ?
| 66. Tanya worked for three straight hours doing these GMAT questions. If she did 24 questions in the third hour, which was twice as many as she did in the second hour, and three times as many questions as she did in the FIRST HOUR, how many questions did she do in total?
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67. The Ukrainian Gryvna has 1/3rd the value of the German Mark. The German Mark has 5/4 the value of the Holland Guilder. The Holland Guilder costs what fraction of the Ukrainian Gryvna?
| 68. Tanya has 4 times as many jellybeans as Misha has. If Tanya gave 8 of his jellybeans to Sasha, Misha would still have 24 jellybeans left. How many jellybeans does Tanya have?
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69. At the congratulations party for Misha's promotion, there were a total of P slices of pizza. He keeps some pizza for himself and divides the remaining slices among F friends. If each friend receives S slices, how many slices does Misha keep for himself?
| 70. The average (arithmetic mean) of six numbers is 24. If the sum of four of these numbers is 96, what is the average of the other 2 numbers?
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71.A taxi company costs $1.75 for the first quarter-mile and fifteen cents for each additional quarter mile. What is the maximum distance you can travel with $4.90?
| 72. A train travels 15 miles per ton of coal when it carries no cargo. When the train is filled with cargo, it travels 80% as far on a ton of coal as it does when it has no cargo. If the train is filled with cargo, how many tons of coal will the train use to travel 160 miles?
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73. Q represents a set of four different prime numbers. If the sum of the numbers in Q is even and x is a member of Q, what is the least possible value of x?
| 74. Misha is 10 years older than Tanya. However 5 years ago, Misha was twice as old as Tanya. How old is Tanya ?
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75. If X is an integer and Y= -2X- 8, what is least value of X, for which X is less than 9 ?
| 76. The distance between cities A and B is 120 km. A car travels from A to B at 60 km per hour and returns from B to A along the same routeat 40 km per hour. What is the average speed for the round trip ?
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77. Let X represent the sum of integers from 1 through 20 and let Y represent the integers from 21 through 40. What is the value of Y-X ?
| 78. Two cars start at the same point and time and travel in opposite directions. If one cars travelsat 45 km per hour and the other at 60 km per hour, how many hours will pass before they are 210 km apart ?
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79.Define the symbol * by the following equation x*= 2-x for all non negative x. Then (a+b*)*=
| 80. For all p =/= 2 define p* by the equation p* = (p+5)/(p-2). If p= 3, then p*=
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