Hungry Minds Cliffs Gre_QUANTITATIVE SECTION

293 QUANTITATIVE SECTION TIME: 45 Minutes 28 Questions General Directions: Your score on the quantitative section will be based on how well you do on the questions presented and also on the number of questions you answer. You should try to pace yourself so that you have sufficient time to consider every question. If possible, answer all 28 questions in this section. Guess if you need to. Select the best answer choice for each question. Note: Because you are checking answers as you go on this simulated GRE CBT, you should add about 5 or 10 minutes to your testing time. Numbers: All numbers used are real numbers. Figure: Figures are intended to provide useful positional information, but are not necessarily drawn to scale. Unless a note states that a figure is drawn to scale, you should not solve these problems by estimating sizes or by measurement. Use your knowledge of math to solve the problems. Angle measures can be assumed to be positive. Lines that appear straight can be assumed straight. Unless otherwise indicated, figures lie in a plane. Directions: You are given two quantities, one in Column A and one in Column B. You are to compare the two quantities and choose oval A if the quantity in Column A is greater; B if the quantity in Column B is greater; C if the two quantities are equal; D if the relationship cannot be determined from the information given. Common Information: Information centered above both columns refers to one or both columns. A symbol that appears in both columns represents the same thing in each column. Directions: Math Ability Team-LRN 294 Part II: Full-Length GRE CBT Practice Test C. The quantities are equal. D. The relationship cannot be determined from the information given. 2-4 Column A Column B 1 2 1 4 1 16 1 32 1 64 1 +++ + + 2 A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. Answers: 2-2 C, 2-4 B If you answered 2-2 incorrectly, go to 3-1. If you answered 2-2 correctly, go to 3-3. If you answered 2-4 incorrectly, go to 3-3. If you answered 2-4 correctly, go to 3-5. 1-3 Column A Column B Number of ways to 12 arrange four books on a shelf A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. Answer 1-3 A If you answered 1-3 incorrectly, go to 2-2. If you answered 1-3 correctly, go to 2-4. 2-2 Column A Column B Number of integer Number of multiples of 8, integer multiples greater than 8, of 6, greater than but less than 50 6, but less than 40 A. The quantity in Column A is greater. B. The quantity in Column B is greater. Solve each problem in this section by using the information given and your own mathematical calculations. Then select the correct answer of the five choices given. Use the scratch paper given for any necessary calculations. Remember that on the actual exam the answer choices will not be lettered. You will simply select the oval next to your choice. Team-LRN 295 Quantitative Section Quantitative Section 3-5 x > y > 0 Column A Column B xy- xy- A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. Answers: 3-1 D, 3-3 D, 3-5 B If you answered 3-1 incorrectly, go to 4-1. If you answered 3-1 correctly, go to 4-2. If you answered 3-3 incorrectly, go to 4-2. If you answered 3-3 correctly, go to 4-4. If you answered 3-5 incorrectly, go to 4-4. If you answered 3-5 correctly, go to 4-5. 4-1 What is .25% of 12? A. 3 ⁄ 100 B. 3 ⁄ 10 C. 1 ⁄ 3 D. 3 E. 300 3-1 x 2 = 36 Column A Column B 6x A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 3-3 x > 0 Column A Column B 3x 2 2x 3 A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. GO ON TO THE NEXT PAGE Team-LRN 296 Part II: Full-Length GRE CBT Practice Test Answers: 4-1 A, 4-2 C, 4-4 A, 4-5 B If you answered 4-1 incorrectly, go to 5-1. If you answered 4-1 correctly, go to 5-2. If you answered 4-2 incorrectly, go to 5-1. If you answered 4-2 correctly, go to 5-3. If you answered 4-4 incorrectly, go to 5-3. If you answered 4-4 correctly, go to 5-5. If you answered 4-5 incorrectly, go to 5-4. If you answered 4-5 correctly, go to 5-5. 5-1 Column A Column B xy A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. l 1 l 2 l 3 y° x° 4-2 If 15 students in a class average 80% on an English exam and 10 students average 90% on the same exam, what is the average in percent of all 25 students? A. 86 2 ⁄ 3 % B. 85% C. 84% D. 83 1 ⁄ 2 % E. 83% 4-4 A bag contains 20 gumballs. If there are 8 red, 7 white, and 5 green, what is the minimum number of gumballs one must pick from the bag to be assured of one of each color? A. 16 B. 9 C. 8 D. 6 E. 3 4-5 The denominator of a fraction is 5 greater than the numerator. If the numerator and the denominator are increased by 2, the resulting fraction is equal to 7 ⁄ 12 . What is the value of the original value of the original fraction? A. 5 ⁄ 12 B. 1 ⁄ 2 C. 9 ⁄ 14 D. 2 ⁄ 3 E. 12 ⁄ 17 Team-LRN 297 Quantitative Section Quantitative Section 5-4 Column A Column B x3 2 A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 5-5 ABCD is a rhombus with height 4 and area 20. Column A Column B Length of side AB Length of diagonal AC A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. y° 92° x 33 5-2 Column A Column B y43° A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 5-3 Column A Column B Number of Number of diagonals in sides of a a hexagon hexagon A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. y° 92° x 33 GO ON TO THE NEXT PAGE Team-LRN 298 Part II: Full-Length GRE CBT Practice Test 6-2 In the figure, all line segments meet at right angles, and each segment has a length of x. What is the area of the figure in terms of x? A. 25x 2 B. 35x 2 C. 36x 2 D. 41x 2 E. 45x 2 6-3 If in the figure x = 3 2 y, then y = A. 36 B. 72 C. 108 D. 144 E. Cannot be determined y° x° x x Answers: 5-1 D, 5-2 A, 5-3 A, 5-4 A, 5-5 D If you answered 5-1 incorrectly, go to 6-1. If you answered 5-1 correctly, go to 6-2. If you answered 5-2 incorrectly, go to 6-1. If you answered 5-2 correctly, go to 6-3. If you answered 5-3 incorrectly, go to 6-2. If you answered 5-3 correctly, go to 6-4. If you answered 5-4 incorrectly, go to 6-3. If you answered 5-4 correctly, go to 6-5. If you answered 5-5 incorrectly, go to 6-4. If you answered 5-5 correctly, go to 6-5. 6-1 In the figure, what is the number of degrees in the sum of m + n? A. 83 B. 93 C. 97 D. 103 E. Cannot be determined m° n° 25° 72° Team-LRN 299 Quantitative Section Quantitative Section 7-1 Column A Column B x + 4y − 3 A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 7-2 x, y, z are integers Column A Column B z − xx − y A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. -2y0xz3 6-4 What is the area of a square inscribed in a circle whose circumference is 16π? A. 8 B. 32 C. 64 D. 128 E. 256 6-5 In the cube above, AH and BG are diagonals and the surface area of side ABFE is 16. What is the area of rectangle ABGH? A. 4 2 B. 16 C. 16 2+ D. 16 2 E. 15 3 Answers: 6-1 A, 6-2 D, 6-3 C, 6-4 D, 6-5 D If you answered 6-1 incorrectly, go to 7-1. If you answered 6-1 correctly, go to 7-2. If you answered 6-2 incorrectly, go to 7-1. If you answered 6-2 correctly, go to 7-3. If you answered 6-3 incorrectly, go to 7-2. If you answered 6-3 correctly, go to 7-4. If you answered 6-4 incorrectly, go to 7-3. If you answered 6-4 correctly, go to 7-5. If you answered 6-5 incorrectly, go to 7-4. If you answered 6-5 correctly, go to 7-5. A B D C E F HG GO ON TO THE NEXT PAGE Team-LRN 300 Part II: Full-Length GRE CBT Practice Test Answers: 7-1 D, 7-2 B, 7-3 B, 7-4 B, 7-5 B If you answered 7-1 incorrectly, go to 8-1. If you answered 7-1 correctly, go to 8-2. If you answered 7-2 incorrectly, go to 8-1. If you answered 7-2 correctly, go to 8-3. If you answered 7-3 incorrectly, go to 8-2. If you answered 7-3 correctly, go to 8-4. If you answered 7-4 incorrectly, go to 8-3. If you answered 7-4 correctly, go to 8-5. If you answered 7-5 incorrectly, go to 8-4. If you answered 7-5 correctly, go to 8-5. 8-1 Bob is older than Jane, but he is younger than Jim. If Bob’s age is b, Jane’s age is c, and Jim’s age is d, then which of the following is true? A. c < b < d B. b < c < d C. b < d < c D. c < d < b E. d < c < b 8-2 If 2 ⁄ x = 4 and 2 ⁄ y = 8, then x − y = A. 1 ⁄ 8 B. 1 ⁄ 4 C. 3 ⁄ 4 D. 4 E. 24 8-3 If a ⁄ b = c ⁄ d and a, b, c, and d are positive integers, then which of the following is true? A. a ⁄ b = d ⁄ c B. ac = bd C. a + d = b + c D. d ⁄ b = c ⁄ a E. a ⁄ d = c ⁄ b 7-3 x is 30% of 60 20% of y is 4 Column A Column B xy A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 7-4 x > 0 Column A Column B x(x + 2) + (x + 2) (x + 1)(x + 3) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 7-5 Column A Column B x 2 + 2x + 1 = 0y 2 − 2y + 1 = 0 xy A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. Team-LRN 301 Quantitative Section Quantitative Section 9-1 Column A Column B 35% of 50 50% of 35 A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 9-2 Column A Column B 3 2 + 4 × 10 2 − 4 2 3 2 − 4 × 10 2 − 4 2 A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 9-3 Column A Column B (.11) 100 (1.1) 10 A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 8-4 If a and b are integers, which of the following conditions is sufficient for ab ab 22 - - = a + b to be true? A. a > 0 B. a < 0 C. a > b D. b > 0 E. b < 0 8-5 If the average of two numbers is y, and one of the numbers is equal to z, then the other number is equal to A. 2z − y B. yz 2 + C. z − y D. 2y − z E. y + 2z Answers: 8-1 A, 8-2 B, 8-3 D, 8-4 C, 8-5 D If you answered 8-1 incorrectly, go to 9-1. If you answered 8-1 correctly, go to 9-2. If you answered 8-2 incorrectly, go to 9-1. If you answered 8-2 correctly, go to 9-3. If you answered 8-3 incorrectly, go to 9-2. If you answered 8-3 correctly, go to 9-4. If you answered 8-4 incorrectly, go to 9-3. If you answered 8-4 correctly, go to 9-5. If you answered 8-5 incorrectly, go to 9-4. If you answered 8-5 correctly, go to 9-5. GO ON TO THE NEXT PAGE Team-LRN 302 Part II: Full-Length GRE CBT Practice Test Answers: 9-1 C, 9-2 A, 9-3 B, 9-4 B, 9-5 B If you answered 9-1 incorrectly, go to 10-1. If you answered 9-1 correctly, go to 10-2. If you answered 9-2 incorrectly, go to 10-1. If you answered 9-2 correctly, go to 10-3. If you answered 9-3 incorrectly, go to 10-2. If you answered 9-3 correctly, go to 10-4. If you answered 9-4 incorrectly, go to 10-3. If you answered 9-4 correctly, go to 10-5. If you answered 9-5 incorrectly, go to 10-4. If you answered 9-5 correctly, go to 10-5. 10-1 0 < x + y < 2 Column A Column B xy A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 10-2 Column A Column B (x 2 y 3 ) 8 (x 4 y 6 ) 4 A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 9-4 Column A Column B Number of inches Number of minutes in one mile in one year A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. 9-5 A fair deck of 52 playing cards contains 4 suits: diamonds, spades, hearts, and clubs. Each suit contains 13 cards. Column A Column B Without replacing Without replacing any cards drawn, any cards drawn, the probability of the probability of randomly drawing randomly drawing two diamonds in a heart, a club, a row and a spade, but not necessarily in that order A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The quantities are equal. D. The relationship cannot be determined from the information given. Team-LRN [...]... machine 2⁄ 3 of a minute to produce one item, how many items will it produce in 2 hours? A 1 ⁄3 B 4 ⁄3 C 80 D 120 E 180 IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS SECTION ONLY DO NOT WORK ON ANY OTHER SECTION IN THE TEST 318 Team-LRN STOP ... Column A is greater B The quantity in Column B is greater C The quantities are equal D The relationship cannot be determined from the information given GO ON TO THE NEXT PAGE Team-LRN 303 Quantitative Section Column A Column B 1 3 3 3 A The quantity in Column A is greater Column A Area of rectangle with length 8 Part II: Full-Length GRE CBT Practice Test 11-2 11-4 X B 30° A Y 2 Column A XY Z Column... determined from the information given Column B 3 2 B The quantity in Column B is greater C The quantities are equal D The relationship cannot be determined from the information given 304 Team-LRN Quantitative Section Answers: 11-1 D, 11-2 A, 11-3 D, 11-4 A, 11-5 B 12-4 If you answered 11-1 incorrectly, go to 12-1 If you answered 11-1 correctly, go to 12-2 A (−5,2) B (−5,−2) If you answered 11-2 incorrectly,... If you answered 12-5 correctly, go to 13-5 E II and III only 12-3 If x − 4 = y, what must (y − x)3 equal? A −64 B −12 C 12 D 64 E Cannot be determined GO ON TO THE NEXT PAGE Team-LRN 305 Quantitative Section A 12:45 p.m B −11 Part II: Full-Length GRE CBT Practice Test 13-1 x4 − 1 = 0 13-4 Column A 5% Column B 1 20 A The quantity in Column A is greater Column A x B The quantity in Column B is greater... The quantities are equal D The relationship cannot be determined from the information given 306 4-y y y!0 x !- 1 x!0 Column B 8405 A The quantity in Column A is greater Column B x2 Team-LRN Quantitative Section Questions 14–15 refer to the graph Answers: 14 C, 15 B Maximum Temperature Readings Los Angeles: July 10-16, 1979 If you answered none of the two graph questions correctly, go to 16-1 100 98 If... quantities are equal D The relationship cannot be determined from the information given E less than any individual maximum reading for all dates given GO ON TO THE NEXT PAGE Team-LRN 307 Quantitative Section B The quantity in Column B is greater A 10 15 a,b,c, all greater than 0 Part II: Full-Length GRE CBT Practice Test Column A 16-5 Column B C The quantities are equal D The relationship cannot be... quantity in Column B is greater C The quantities are equal D The relationship cannot be determined from the information given B The quantity in Column B is greater 308 Column B q Team-LRN Quantitative Section 18-4 Answers: 17-1 A, 17-2 B, 17-4 B, 17-5 C If you answered 17-1 incorrectly, go to 18-1 If you answered 17-1 correctly, go to 18-2 If the ratio of x to y is 3⁄ 4 and the ratio of y to z is 12⁄... correctly, go to 19-5 C a − p − pt (a+p) ⁄t Answers: 18-1 D, 18-2 B, 18-3 B, 18-4 D, 18-5 D ⁄ 16 E 3 E t − 3 What is the ratio of 3⁄ 10 to 5⁄ 8? a ⁄3 ⁄t ⁄ pt GO ON TO THE NEXT PAGE Team-LRN 309 Quantitative Section D E 44 D t C t + 3 D 23 18-3 If a pipe can drain a tank in t hours, what part of the tank does it drain in 3 hours? A 3t B 14 18-2 ⁄ 13 Part II: Full-Length GRE CBT Practice Test 19-1 19-3 y y... B is greater D The relationship cannot be determined from the information given C The quantities are equal D The relationship cannot be determined from the information given 310 Team-LRN Quantitative Section 19-5 20 P(c,d) Approximately how many cars of make B were sold in July? (-2,2) A B Column A c+d 21 B The quantity in Column B is greater 1,049,200 E A The quantity in Column A is greater 900,000... of Ez? Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec A 42° Others 86% B 48° Make B C 84° 30% Make A D 96° Domestic Car Sales Team-LRN E Cannot be determined GO ON TO THE NEXT PAGE 311 Quantitative Section D October Part II: Full-Length GRE CBT Practice Test 22-3 The base of an isosceles triangle 23-1 exceeds each of the equal sides by 8 feet If the perimeter is 89 feet, what is the length of the . 297 Quantitative Section Quantitative Section 5-4 Column A Column B x3 2 A. The quantity in Column A is greater. B. The quantity in Column B is greater The quantity in Column A is greater. B. The quantity in Column B is greater. Team-LRN 309 Quantitative Section Quantitative Section 18-4 If the ratio of