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– THE GRE QUANTITATIVE SECTION – 15. A x° B C y° D 16. IN __ BC ABC, AC = BC __ DE AND x = 65 E x y the number of integers from –5 to 5 the number of integers from 5 to 15 17. The area of square ABCD is 25. AB BC CD 20 x 0.5 18. x4 4x 19. x 1–x x1 The perimeter of triangle ABC the perimeter of triangle DEF. 20. area of triangle ABC 21. 22. x x–1 area of triangle DEF The sum of five consecutive integers is 35. the value of the greatest of these integers 9 160 310 216 – THE GRE QUANTITATIVE SECTION – 23. A AB = BC = AC y° x° C B 2x 24. y The water tank is two-thirds full with 12 gallons of water. the capacity of this tank 25. 20 gallons x=y=z + 3a 5a 15 zº +1 xº yº 2a + 22 a 7 xy7 26. xy 27. 14 The area of isosceles right triangle ABC is 18. the length of leg AB the length of hypotenuse AC Questions 28 and 29 refer to the following diagram: A B D C ABCD IS A SQUARE. 2. DIAGONAL BD = 6 28. perimeter of ABCD 24 217 – THE GRE QUANTITATIVE SECTION – 29. area of ABD 18 30. In triangle ABC, AB BC, and the measure of angle B the measure of angle C. the measure of angle B the measure of angle B the measure of angle C the measure of angle A 31. abc def a f 64 x 81 32. x 33. 65 K L A C B KA = 7, BCL = 17, BC = 8 POINTS K, A, B, C, AND L ARE COLLINEAR. 34. length of KL 23 144 + 44 100 35. A x° y° z° C B AB = AC 36. xy xz 348 3 12 x 4 37. x 7 + 3 = 12 x 218 1 – THE GRE QUANTITATIVE SECTION – 38. 0.003% 0.0003 39. k 400 k % 4 40. A I RADIUS OF I = 3 INCHES RADIUS OF II = 4 INCHES RADIUS OF III = 5 INCHES B C III II length of perimeter of the triangle ABC, formed by joining the centers of the three circles 2 feet Directions: For each question, select the best answer choice given. 41. Which of the following has the largest numerical value? 8 a. 0.8 0.8 b. 8 c. (0.8)2 d. 0.8 e. 0.8π 42. If 17xy 7 19xy, then 4xy a. 2 b. 3 1 c. 32 d. 7 e. 14 43. The average of two numbers is xy. If one number is equal to x, what is the other number equal to? a. y b. 2y c. xy x d. 2xy x e. xy 2x 219 – THE GRE QUANTITATIVE SECTION – 7 1 44. A snapshot 18 inches 22 inches is to be enlarged so that the longer dimension will be 4 inches. What will be the length (in inches) of the shorter dimension? 3 a. 28 1 b. 22 c. 3 3 d. 38 1 e. 32 2 45. The length and width of rectangle AEFG are each 3 of the corresponding parts of ABCD. Here, AEB 12 and AGD 6. E A G F D C The area of the shaded part is a. b. c. d. e. B 24. 32. 36. 40. 48. 220 – THE GRE QUANTITATIVE SECTION – Questions 46–50 refer to the following chart and graph. ALAMEDA SAVINGS BANK DATA 200 NUMBER OF DEPOSITORS IN THOUSANDS NUMBER OF REGULAR DEPOSITORS 150 100 50 NUMBER OF HOLIDAY CLUB DEPOSITORS YEAR 1975 1980 1985 1990 HOW THE BANK PUTS YOUR MONEY TO WORK FOR YOU MORTGAGES 58.6% STOCKS 5.2% CASH ON HAND 3.9% OTHER ASSETS 3% BONDS 29.3% 46. How many thousands of regular depositors did the bank have in 1980? a. 70 b. 85 c. 95 d. 100 e. 950 47. In 1979, what was the ratio of the number of Holiday Club depositors to the number of regular depositors? a. 2:3 b. 2:1 c. 1:2 d. 7:9 221 – THE GRE QUANTITATIVE SECTION – e. 3:2 48. Which of the following can be inferred from the graphs? I. Interest rates were static in the 1980–1983 period. II. The greatest increase in the number of Holiday Club depositors over a previous year occurred in 1984. III. Alameda Savings Bank invested most of its assets in stocks and bonds. a. I only b. II only c. III only d. I and III e. II and III 49. About how many degrees (to the nearest degree) are in the angle of the sector representing mortgages? a. 59 b. 106 c. 211 d. 246 e. 318 50. The average annual interest on mortgage investments is m percent and the average annual interest on the bond investment is b percent. If the annual interest on the bond investment is x dollars, how many dollars are invested in mortgages? a. xm b xb b. m c. 10xb m bx d. 100m 200x e. b 222 – THE GRE QUANTITATIVE SECTION – 51. What is the area of ABCD? 10 A 8 B 6 4 2 0 a. b. c. d. e. C D 2 4 6 8 10 12 14 24 30 35 36 48 52. If x 2 2x 8 0, then x is either 4 or a. 2. b. 1. c. 0. d. 2. e. 8. 53. The following shows the weight distribution in the average adult. The total average body weight is 70,000 grams. Elements of the Body Muscles Water Skeleton Blood Gastrointestinal Tract Liver Brain Lungs Weight (in grams) 30,000 18,800 10,000 5,000 2,000 1,700 1,500 1,000 If the weight of an adult’s skeleton is represented as g grams, his or her total body weight can be represented as a. 7g. b. g 6. c. 60g. d. g 60. e. 70,000g. 223 – THE GRE QUANTITATIVE SECTION – 54. The afternoon classes in a school begin at 1:00 P.M. and end at 3:52 P.M. There are four afternoon class periods with 4 minutes between periods. The number of minutes in each class period is a. 39. b. 40. c. 43. d. 45. e. 59. 55. The average of P numbers is x, and the average of N numbers is y. What is the average of the total numbers (P N)? a. x+y 2 b. x y Py + Nx c. xy(P + N) x+y d. P+N Px + Ny e. P+N n 56. For which of the values of n and d is d 1? a. n 5 and d 6 b. n 3 and d 2 c. n 1 and d 2 d. n 1 and d 1 e. n 0 and d 1 57. a° b° c° d ° e° f° l m In the figure above, l m. All of the following are true EXCEPT a. mc md. b. ma md. c. ma me. d. mf mb. e. m f mc. 224 – THE GRE QUANTITATIVE SECTION – 58. If 0.6 is the average of the four quantities 0.2, 0.8, 1.0, and x, what is the numerical value of x? a. 0.2 b. 0.4 c. 0.67 d. 1.3 e. 2.4 59. a2 – b2 (a – b) is equal to a. a b. b. a b. c. d. a+b . a–b a–b a + b. e. 1. 60. The area of square EFGH is equal to the area of rectangle ABCD. If GH 6 feet and AD 4 feet, the perimeter (in feet) of the rectangle is a. 9. b. 13. c. 24. d. 26. e. 36. Questions 61–65 refer to the following chart and graph. CALORIES COMPOSITION OF AVERAGE DIET CALORIES GRAMS CARBOHYDRATES 500 2,050 PROTEIN 100 410 FAT 100 930 CALORIES REQUIRED PER DAY BY BOYS AND GIRLS CALORIES 4,000 3,000 2,000 1,000 AGE 2 4 6 8 10 12 14 16 BOYS GIRLS 225 18