44. A snapshot 1 ᎏ 7 8 ᎏ inches ϫ 2 ᎏ 1 2 ᎏ 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? a. 2 ᎏ 3 8 ᎏ b. 2 ᎏ 1 2 ᎏ c. 3 d. 3 ᎏ 3 8 ᎏ e. 3 ᎏ 1 2 ᎏ 45. The length and width of rectangle AEFG are each ᎏ 2 3 ᎏ of the corresponding parts of ABCD. Here, AEB ϭ 12 and AGD ϭ 6. The area of the shaded part is a. 24. b. 32. c. 36. d. 40. e. 48. A E B C D G F – THE GRE QUANTITATIVE SECTION– 220 Questions 46–50 refer to the following chart and graph. 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 50 100 150 200 1975 1980 1985 1990 NUMBER OF REGULAR DEPOSITORS NUMBER OF HOLIDAY CLUB DEPOSITORS ALAMEDA SAVINGS BANK DATA NUMBER OF DEPOSITORS IN THOUSANDS MORTGAGES 58.6% BONDS 29.3% CASH ON HAND STOCKS OTHER ASSETS HOW THE BANK PUTS YOUR MONEY TO WORK FOR YOU YEAR 3.9% 5.2% 3% – THE GRE QUANTITATIVE SECTION– 221 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. ᎏ x b m ᎏ b. ᎏ x m b ᎏ c. ᎏ 10 m xb ᎏ d. ᎏ 10 b 0 x m ᎏ e. ᎏ 20 b 0x ᎏ – THE GRE QUANTITATIVE SECTION– 222 51. What is the area of ABCD? a. 24 b. 30 c. 35 d. 36 e. 48 52. If x 2 ϩ 2x Ϫ 8 ϭ 0, then x is either Ϫ4 or a. Ϫ2. b. Ϫ1. 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 Weight (in grams) Muscles 30,000 Water 18,800 Skeleton 10,000 Blood 5,000 Gastrointestinal Tract 2,000 Liver 1,700 Brain 1,500 Lungs 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 ϩ 6. c. 60g. d. g ϩ 60. e. 70,000g. 0 2 4 6 8 10 2 4 6 8 10 12 14 A B D C – THE GRE QUANTITATIVE SECTION– 223 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 ϩ N)? a. ᎏ x + 2 y ᎏ b. x ϩ y c. ᎏ x P y( y P + + N N x ) ᎏ d. ᎏ P x + + N y ᎏ e. ᎏ P P x + + N Ny ᎏ 56. For which of the values of n and d is ᎏ n d ᎏ Ͼ 1? a. n ϭ 5 and d ϭ 6 b. n ϭ 3 and d ϭ 2 c. n ϭ 1 and d ϭ 2 d. n ϭ 1 and d ϭ 1 e. n ϭ 0 and d ϭ 1 57. In the figure above, l ʈ m. All of the following are true EXCEPT a. mЄc ϭ mЄd. b. mЄa ϭ mЄd. c. mЄa ϭ mЄe. d. mЄf ϭ mЄb. e. mЄ f ϭ mЄc. a° b° c° d ° e° f ° l m – THE GRE QUANTITATIVE SECTION– 224 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. ᎏ ( a a 2 – – b b 2 ) ᎏ is equal to a. a ϩ b. b. a Ϫ b. c. ᎏ a a + – b b ᎏ . d. ᎏ a a + – b b ᎏ . e. 1. 60. The area of square EFGH is equal to the area of rectangle ABCD.IfGH ϭ 6 feet and AD ϭ 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. 24681012141618 1,000 2,000 3,000 4,000 CALORIES BOYS GIRLS CALORIES REQUIRED PER DAY BY BOYS AND GIRLS CALORIES COMPOSITION OF AVERAGE DIET CARBOHYDRATES PROTEIN FAT GRAMS CALORIES 500 100 100 2,050 410 930 AGE – THE GRE QUANTITATIVE SECTION– 225 . 95 d. 100 e. 950 47. In 1 979 , 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 50 100 150 200 1 975 1980 1985 1990 NUMBER. HAND STOCKS OTHER ASSETS HOW THE BANK PUTS YOUR MONEY TO WORK FOR YOU YEAR 3.9% 5.2% 3% – THE GRE QUANTITATIVE SECTION 221 e. 3:2 48. Which of the following can be inferred from the graphs? I mortgages? a. ᎏ x b m ᎏ b. ᎏ x m b ᎏ c. ᎏ 10 m xb ᎏ d. ᎏ 10 b 0 x m ᎏ e. ᎏ 20 b 0x ᎏ – THE GRE QUANTITATIVE SECTION 222 51. What is the area of ABCD? a. 24 b. 30 c. 35 d. 36 e. 48 52. If x 2 ϩ 2x Ϫ 8 ϭ 0, then x is either Ϫ4 or a. Ϫ2. b. Ϫ1. c. 0. d. 2. e. 8. 53. The following