8. Cindy covered 36 miles in 45 minutes. Cindy’s average speed 48 miles/hour (in miles/hour) 9. length of AB length of BC 10. 120 ͙1,440 ෆ 11. Page is older than Max and Max is younger than Gracie. Page’s age Gracie’s age 12. 4 inches length of DC 13. z – y 40 14. a Ͼ b Ͼ c Ͼ d Ͼ 0 a Ϫ dbϪ c A B D C x˚ x˚ y˚ y˚ z˚ y = 50 ABCD is a parallelogram A B D C AREA OF = 20 in. 2 ABC AD = 5 INCHES AND AD BC A B C AB BC ABC AREA OF = 18 – THE GRE QUANTITATIVE SECTION– 215 15. xy 16. the number of integers the number of integers from –5 to ϩ5from ϩ5 to ϩ15 17. The area of square ABCD is 25. AB ϩ BC ϩ CD 20 18. x ϭ 0.5 4xx 4 19. x Ͼ 1 ᎏ 1– x x ᎏᎏ x – x 1 ᎏ 20. The perimeter of triangle ABC ϭ the perimeter of triangle DEF. area of triangle ABC area of triangle DEF 21. The sum of five consecutive integers is 35. the value of the greatest 9 of these integers 22. ͙160 ෆ 3͙10 ෆ A BC D E x° y° IN ABC, AC = BC BC DE AND x = 65 __ __ – THE GRE QUANTITATIVE SECTION– 216 23. 2xy 24. The water tank is two-thirds full with 12 gallons of water. the capacity of this tank 20 gallons 25. a 7 26. x Ϫ y ϭ 7 x ϩ y 14 27. 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: 28. perimeter of ABCD 24 A B C D ABCD IS A SQUARE. DIAGONAL BD = 6 2. Ί ෆ xº yº zº 3a + 15 5a + 1 2a + 22 x = y = z A B C x° y° AB = BC = AC – THE GRE QUANTITATIVE SECTION– 217 29. area of ABD 18 30. In triangle ABC, AB ϭ BC, and the measure of angle B ϭ the measure of angle C. the measure of angle B ϩ the measure of angle B ϩ the measure of angle C the measure of angle A 31. a Ͻ b Ͻ c d Ͻ e Ͻ f af 32. 64 Ͻ x Ͻ 81 x 65 33. length of KL 23 34. ͙144 ෆ ͙100 ෆ + ͙44 ෆ 35. x ϩ yxϩ z 36. 12 37. ᎏ 4 x ᎏ + ᎏ 3 x ᎏ = ᎏ 1 7 2 ᎏ x Ϫ1 3͙48 ෆ ᎏ ͙3 ෆ B A C x° y° z° AB = AC K A B C L KA = 7, BCL = 17, BC = 8 POINTS K, A, B, C, AND L ARE COLLINEAR. – THE GRE QUANTITATIVE SECTION– 218 38. 0.003% 0.0003 39. ᎏ 40 k 0 ᎏ ᎏ 4 k ᎏ % 40. length of perimeter of the triangle ABC,2 feet formed by joining the centers of the three circles Directions: For each question, select the best answer choice given. 41. Which of the following has the largest numerical value? a. ᎏ 0 8 .8 ᎏ b. ᎏ 0 8 .8 ᎏ c. (0.8) 2 d. ͙0.8 ෆ e. 0.8π 42. If 17xy ϩ 7 ϭ 19xy, then 4xy ϭ a. 2 b. 3 c. 3 ᎏ 1 2 ᎏ 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 Ϫ x d. 2xy Ϫ x e. xy Ϫ 2x A B C I II III RADIUS OF I = 3 INCHES RADIUS OF II = 4 INCHES RADIUS OF III = 5 INCHES – THE GRE QUANTITATIVE SECTION– 219 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 . integers 22. ͙ 160 ෆ 3͙10 ෆ A BC D E x° y° IN ABC, AC = BC BC DE AND x = 65 __ __ – THE GRE QUANTITATIVE SECTION 2 16 23. 2xy 24. The water tank is two-thirds full with 12 gallons of water. the capacity. – x 1 ᎏ 20. The perimeter of triangle ABC ϭ the perimeter of triangle DEF. area of triangle ABC area of triangle DEF 21. The sum of five consecutive integers is 35. the value of the greatest 9 of these. BC A B C AB BC ABC AREA OF = 18 – THE GRE QUANTITATIVE SECTION 215 15. xy 16. the number of integers the number of integers from –5 to ϩ5from ϩ5 to ϩ15 17. The area of square ABCD is 25. AB