The gre quatitative section 10

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– THE GRE QUANTITATIVE SECTION – 51. d. Draw altitudes of AE and BF. 10 2 A B 8 6 6 4 C 2 D 10 F E 12 6 8 10 0 2 14 4 1 2 (b1 + b2)h = 1 2 (10 + 2)6 = = 36 square units 52. d. Factor x2 4 or 2, then x2 2x 8 into (x 4)(x 2). If x is either 2x 8 0. 53. a. Set up a proportion. Let x the total body weight in terms of g. weight of skeleton 10,000 grams g = = total body weight 70,000 grams x g 1 7=x x = 7g 54. b. Between 1 P.M. and 3:52 P.M., there are 172 minutes. There are three intervals between the classes. Therefore, 3 4 minutes, or 12 minutes, is the time spent in passing to classes. That leaves a total of 172 12, or 160, minutes for instruction, or 40 minutes for each class period. 55. e. (Average)(Number of items) Sum (x)(P) Px (y)(N) Ny Sum = Average Number of items Px + Ny = Average P+N n 56. b. Select the choice in which the value of n is greater than the value of d in order to yield a value of d greater than 1. d 180°, but m c m d. 57. a. m c m m a m d (vertical angles) m a m e (corresponding angles) m f m b (corresponding angles) m f m c (alternate interior angles) 58. b. Sum (0.6)(4) or 2.4 0.2 0.8 1 2 x 2.4 2 or 0.4 235
– THE GRE QUANTITATIVE SECTION – a2 – b2 a b(a – b) ab 59. c. (a – b) (a – b)(a – b) a–b 60. d. Area of square EFGH 36 square feet and area of rectangle ABCD 36 square feet. Since AD 4, then DC 9 feet. The perimeter of ABCD is 4 9 4 9 26 feet. 61. c. 500 grams of carbohydrates 2,050 calories 100 grams of carbohydrates 410 calories 1 gram of carbohydrates 4.1 calories 62. a. Total calories 3,390 Calories from protein 410 410 41 12% 3,390 339 63. b. Boys at 17 require 3,750 calories per day. Girls at 17 require 2,750 calories per day. Difference 3,750 2,750 1,000. 64. d. I is true; observe the regular increase for both sexes up to age 11. II is not true; from age 4 to 12, calorie requirements are generally similar for boys and girls. Note that the broken line and the solid line are almost parallel. III is true; boys reach their peak at 17, while girls reach their peak at 13. 65. c. 100 grams of fat 930 calories 1,000 grams of fat 9,300 calories To obtain 9,300 calories from carbohydrates, set up a proportion, letting x number of grams of carbohydrates needed. 500 grams x 2,050 calories 9,300 calories 2,050x (9,300)(500) x 2,268 (to the nearest gram) 66. d. Since the formula for the area of a circle is r2, any change in r will affect the area by the square of the amount of the change. Since the radius is doubled, the area will be four times as much (2)2. 67. c. Since OC BC and OC and OB are radii, triangle BOC is equilateral and the measure of angle 1 BOC 60º. Therefore, x 120 and 2 x 60. 68. c. Let x the number and multiply both sides by 6 to eliminate the fractions. x x 2 = 3 + 17 3x = 2x + 102 x = 102 236
– THE GRE QUANTITATIVE SECTION – 69. b. Let x amount Ed had. Let y amount Patricia had. x $10 amount Ed now has. y $10 amount Patricia now has. x + $10 + $4 y – 10 5 x + $10 + $20 5y – $50 x – 5y –$80 x–y $100 –x – y –100 (multiply by –1) x – 5y –$80 –6y –180 (subtraction) y $30 (amount Patricia had) $30 – $10 $20 (amount Patricia now has) 70. c. This is a ratio problem. 2 ? number of items c x cost in cents c(?) 2x 2x (?) c 71. c. Four cows produce one can of milk in one day. Therefore, eight cows could produce two cans of milk in one day. In four days, eight cows will be able to produce eight cans of milk. 72. a. Visualize the situation. The amount of pure alcohol remains the same after the dilution with water. 73. e. Note that the question gives information about the transfer of teachers, but asks about the remain- ing teachers. If 20 teachers are transferred, then there are 60 teachers remaining. 60 3 75% 80 4 74. e. 152 pounds and 4 ounces 152.25 pounds. 152.25 3 50.75 pounds. Therefore, 0.75 pounds 12 ounces. 75. e. Let x number of contestants. 0.05x 30 5x 3,000 x 600 76. d. Since the driver’s fee is paid with the car, the charge for n 1 person c(n 1) cents; cost of car and driver 50 cents. Therefore, T 50 c (n 1). 237
Appendix: Additional Resources T his book has given you a good start on studying for the GRE. However, one book is seldom enough—it is best to be equipped with several resources, from general to speciﬁc. G RE General Test Bobrow, Jerry. GRE General Test (Cliff ’s Test Prep), 7th Edition. (Indianapolis, IN: Cliff ’s Notes, 2002). GRE: Practicing to Take the General Test, 10th Edition. (Princeton, NJ: Educational Testing Service, 2002). Green, Sharon Weiner, and Ira K. Wolf. How to Prepare for the GRE Test with CD-ROM. (New York: Bar- ron’s Educational Series, 2003). Kaplan GRE Exam 2004 with CD-ROM. (New York: Kaplan, 2003). Lurie, Karen, Magda Pecsenye, Adam Robinson, and David Ragsdale. Cracking the GRE with Sample Tests on CD-ROM, 2005 Edition. (New York: Princeton Review, 2005). Rimal, Rajiv N., and Peter Z. Orton. 30 Days to the GRE Cat: Teacher-Tested Strategies and Techniques for Scoring High, 2nd Edition (Grass Valley, CA: Peterson Publishing Company, 2001). G RE Verbal Test Cornog, Mary Wood. Merriam-Webster’s Vocabulary Builder. (New York: Merriam Webster, 1999). Kaplan. Kaplan GRE Exam Verbal Workbook, 3rd Edition. (New York: Kaplan, 2004). 239
– APPENDIX: ADDITIONAL RESOURCES – LearningExpress. Vocabulary and Spelling Success in 20 Minutes a Day, 3rd Edition. (New York: Learning- Express, 2002). Ogden, James. Verbal Builder: An Excellent Review for Standardized Tests. (Piscataway, NJ: REA, 1998). Wu, Yung Yee. GRE Verbal Workout, 2nd Edition. (Princeton, NJ: Princeton Review, 2005). G RE Analytical Writing Test Barrass, Robert. Students Must Write: A Guide to Better Writing in Coursework and Examinations, 3rd Edition. (New York: Routledge, 2005). Biggs, Emily D., and Jean Eggenschwiler. Cliffs Quick Review Writing: Grammar, Usage, and Style. (New York: Wiley, 2001). Flesch, Rudolph. The Classic Guide to Better Writing. (New York: HarperResource, 1996). Kaplan. Writing Power. (New York: Kaplan, 2003). Peterson’s. Writing Skills for the GRE and GMAT Tests. (Princeton, NJ: Peterson’s, 2002). G RE Quantitative Test Kaplan. Math Power: Score Higher on the SAT, GRE, and Other Standardized Tests. (New York: Kaplan, 2003). Lighthouse Review. The Ultimate Math Refresher for the GRE, GMAT, and SAT. (Austin, TX: Lighthouse Review, Inc., 1999). Peterson’s. Peterson’s Math Review for the GRE, GMAT, and MCAT, 2nd Edition. (Princeton, NJ: Peterson’s, 2003). Stuart, David. GRE and GMAT Exams: Math Workbook. (New York: Kaplan, 2002). Test-Taking and Study Skills Gilbert, Sara D. How to Do Your Best on Tests. (New York: Harper Trophy, 1998). James, Elizabeth. How to Be School Smart: Super Study Skills. (New York: Harper Trophy, 1998). Luckie, William, and Wood Smethurst. Study Power: Study Skills to Improve Your Learning and Your Grades. (Newton Upper Falls, MA: Brookline Books, 1997). Meyers, Judith N. The Secrets of Taking Any Test, 2nd Edition. (New York: LearningExpress, 2000). Rozakis, Laurie. Super Study Skills. (New York: Scholastic, 2002). Travis, Pauline. The Very Best Coaching and Study Course for the New GRE. (Piscataway, NJ: REA, 2002). Wood, Gail. How to Study, 2nd Edition. (New York: LearningExpress, 2000). 240