Chapter 25 GMAT Math And Verbal Practice Bins

1111111124. What is the quotient when .25% of 600 isdivided by .25 of 600?aodoOob(A)(B)(C)(D)(E)101.1.01.001co25. A certain town’s economic development councilhas 21 members. If the number of females on thecouncil is 3 less than 3 times the number of maleson the council, then the town’s economic development council has how many male members?22. In the circle above, with center O intersected by 2straight lines, 3a b. What is the value of b – a?(A)2(B)30(C)45(D)90(E) 13523. What is the value of integer w?(1) w is a multiple of 3.(2) 420 w 425(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOTsufficient.(A)(B)(C)(D)(E)56791526. Roger can chop down 4 trees in an hour. Howlong does it take Vincent to chop down 4 trees?(1) Vincent spends 6 hours per day chopping down trees.(2) Vincent takes twice as long as Roger tochop down trees.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.GO ON TO THE NEXT PAGE.532 Cracking the New GMAT25b New GMAT Diag Math.indd 53212/14/2011 9:31:51 AM

22222222Math TestBin Two—Medium Questions27 QuestionsThis test is composed of both problem solving questions and data sufficiency questions.Problem Solving Directions: Solve each problem and choose the best of the answer choices provided.Data Sufficiency Directions: Data sufficiency problems consist of a question and two statements, labeled (1) and(2), in which certain data are given. You have to decide whether the data given in the statements are sufficient foranswering the question. Using the data given in the statements plus your knowledge of mathematics and everydayfacts (such as the number of days in July or the meaning of counterclockwise), you are to select(A)if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;(B)if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;(C)if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, butNEITHER statement alone is sufficient;(D) if EACH statement ALONE is sufficient to answer the question asked;(E)if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, andadditional data specific to the problem are needed.5 15 45 1. If x 9 27 81 , then 1 x 3(A)59(B)59(C)23(D)(E)531592. For the past x laps around the track, Steven’s average time per lap was 51 seconds. If a lap of 39seconds would reduce his average time per lap to49 seconds, what is the value of x?(A)(B)(C)(D)(E)25610123. 200² – 2(200)(199) 199² (A) –79,201(B)–200(C)1(D)200(E) 79,999GO ON TO THE NEXT PAGE.GMAT Math and Verbal Practice Bin25b New GMAT Diag Math.indd 533 53312/14/2011 9:31:52 AM

24. If x –22221, then 6 x 11x 7 22x 1(A)(B)(C)(D)(E)3x 73x – 73x 1x 7x–75. If Amy drove the distance from her home to thebeach in less than 2 hours, was her averagespeed greater than 60 miles per hour?(1) The distance that Amy drove from herhome to the beach was less than 125miles.(2) The distance that Amy drove from herhome to the beach was greater than122 miles.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.6. If x m – 1, which of the following is true when1m ?2(A)(B)(C)(D)(E)x0x0x0x2x3 x 2 x 3 x1x 2 x1 x 3x1 x 2 x 3x 0 x 3 x1x 2 x1 x 022227. A comedian is playing two shows at a certaincomedy club, and twice as many tickets havebeen issued for the evening show as for the afternoon show. Of the total number of tickets issuedfor both shows, what percentage has been sold?(1) A total of 450 tickets have been issuedfor both shows.3of the tickets issued for the5afternoon show have been sold, and1exactlyof the tickets issued for the5evening show have been sold.(2) Exactly(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.22 1 18. If 2 3 , then y y 1 (A)964(B)38(C)64121(D)12164(E)649GO ON TO THE NEXT PAGE.534 Cracking the New GMAT25b New GMAT Diag Math.indd 53412/14/2011 9:31:53 AM

22229. An operation is defined by the equationa ba b for all numbers a and b such that(a b)22222X {9, 10, 11, 12}Y {2, 3, 4, 5}ab 0. If c 0 and a c 0, then c 11. One number will be chosen randomly from each(A)–a(B)0(C)member of Set X and y represents the chosena(D)a(E)a²of the sets above. If x represents the chosen10. If x is a positive integer, is the greatest commonfactor of 150 and x a prime number?(1) x is a prime number.(2) x 4(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.xmember of Set Y, what is the probability that ywill be an integer?(A)116(B)38(C)12(D)34(E)151612. If p and q are integers, isp qan integer?2(1) p 17(2) p q(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.GO ON TO THE NEXT PAGE.GMAT Math and Verbal Practice Bin25b New GMAT Diag Math.indd 535 53512/14/2011 9:31:55 AM

222213. A perfectly spherical satellite with a radius of 4feet is being packed for shipment to its launchsite. If the inside dimensions of the rectangularcrates available for shipment, when measured in222216. Sam and Jessica are invited to a dance. If thereare 7 men and 7 women in total at the dance,and one woman and one man are chosen to leadthe dance, what is the probability that Sam andJessica will NOT be the pair chosen to lead thedance?feet, are consecutive even integers, then what isthe volume of the smallest available crate that canbe used? (Note: the volume of a sphere is given4by the equation V πr 3.)3(A)(B)(C)(D)(E)481924809601,68014. A certain family has 3 sons: Richard is 6 yearsolder than David, and David is 8 years older thanScott. If in 8 years, Richard will be twice as old asScott, then how old was David 4 years ago?(A)(B)(C)(D)(E)81012141615. What is the value of x?(1) x² – 5x 4 0(2) x is not prime.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.(A)149(B)17(C)67(D)4749(E)484917. What is the surface area of rectangular solid y?(1) The dimensions of one face of rectangular solid y are 2 by 3.(2) The area of another face of rectangularsolid y is 6.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) Both statements TOGETHER are sufficient, butNEITHER statement ALONE is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.GO ON TO THE NEXT PAGE.536 Cracking the New GMAT25b New GMAT Diag Math.indd 53612/14/2011 9:31:57 AM

222218. A six-sided die with faces numbered one throughsix is rolled three times. What is the probabilitythat the face with the number 6 on it will NOT befacing upward on all three rolls?(A)1216(B)16(C)23(D)1718(E)21521619. What is the sum of x, y, and z?(1) 2x y 3z 45(2) x 2y 30(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.222221. David has three credit cards: a Passport card, anEverywhereCard, and an American Local card. Heowes balances on all three cards. Does he owethe greatest balance on the EverywhereCard?(1) The sum of the balances on his EverywhereCard and American Local card is 1,350, which is three times the balance on his Passport card.(2) The balance on his EverywhereCard is4of the balance on his Passport card3 4andof the balance on his American5Local card.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.20. A department store receives a shipment of 1,000shirts, for which it pays 9,000. The store sellsthe shirts at a price 80 percent above cost forone month, after which it reduces the price of theshirts to 20 percent above cost. The store sells75 percent of the shirts during the first monthand 50 percent of the remaining shirts afterward.How much gross income did sales of the shirts generate?(A)(B)(C)(D)(E) 10,000 10,800 12,150 13,500 16,200GO ON TO THE NEXT PAGE.GMAT Math and Verbal Practice Bin25b New GMAT Diag Math.indd 537 53712/14/2011 9:31:59 AM

222222. Automobile A is traveling at two-thirds the speedthat Automobile B is traveling. How fast is Automobile A traveling?(1) If both automobiles increased theirspeed by 10 miles per hour, Automobile A would be traveling atthree-quarters the speed that Automobile B would be traveling.(2) If both automobiles decreased theirspeed by 10 miles per hour, Automobile A would be traveling at half thespeed that Automobile B would betraveling.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.23. a and b are nonzero integers such that0.35a 0.2b. What is the value of b interms of a?(A)(B)(C)(D)(E)0.07a0.57a0.7a1.75a17.5a24. The Binary Ice Cream Shoppe sells two flavors,vanilla and chocolate. On Friday, the ratio of vanillacones sold to chocolate cones sold was 2 to 3.If the store had sold 4 more vanilla cones, theratio of vanilla cones sold to chocolate cones soldwould have been 3 to 4. How many vanilla conesdid the store sell on Friday?(A)(B)(C)(D)(E)3235424854222225. Is integer a a prime number?(1) 2a has exactly three factors.(2) a is an even number.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.26. Renee rides her bicycle 20 miles in m minutes. Ifshe can ride x miles in 10 minutes, which of thefollowing equals x?(A)m200(B)m20(C)m2(D)2m(E)200m27. If s and w are integers, iswan integer?5(1) 4s 2 is divisible by 5.(2) w 3 4s(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.GO ON TO THE NEXT PAGE.538 Cracking the New GMAT25b New GMAT Diag Math.indd 53812/14/2011 9:32:01 AM

33333333Math TestBin Three—Medium-Hard Questions26 QuestionsThis test is composed of both problem solving questions and data sufficiency questions.Problem Solving Directions: Solve each problem and choose the best of the answer choices provided.Data Sufficiency Directions: Data Sufficiency problems consist of a question and two statements, labeled (1) and(2), in which certain data are given. You have to decide whether the data given in the statements are sufficient foranswering the question. Using the data given in the statements plus your knowledge of mathematics and everydayfacts (such as the number of days in July or the meaning of counterclockwise), you are to select(A)if statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;(B)if statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;(C)if BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, butNEITHER statement alone is sufficient;(D) if EACH statement ALONE is sufficient to answer the question asked;(E)if statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, andadditional data specific to the problem are needed.1. A discount electronics store normally sells allmerchandise at a discount of 10 percent to 30percent off the suggested retail price. If, during aspecial sale, an additional 20 percent were to bededucted from the discount price, what would bethe lowest possible price of an item costing 260before any discount?(A)(B)(C)(D)(E) 130.00 145.60 163.80 182.00 210.002. During a special promotion, a certain fillingstation is offering a 10 percent discount on gaspurchased after the first 10 gallons. If Kimpurchased 20 gallons of gas, and Isabellapurchased 25 gallons of gas, then Isabella’s totalper-gallon discount is what percent of Kim’s totalper-gallon discount?(A)(B)(C)(D)(E)80%100%116.7%120%140%GO ON TO THE NEXT PAGE.GMAT Math and Verbal Practice Bin25b New GMAT Diag Math.indd 539 53912/14/2011 9:32:01 AM

3333BACE3. What is the area of the shaded region in the figureshown above?33335. During a certain two-week period, 70 percent ofthe movies rented from a video store were comedies, and of the remaining movies rented, therewere 5 times as many dramas as action movies.If no other movies were rented during that twoweek period and there were A action moviesrented, then how many comedies, in terms of A,were rented during that two-week period?D(A)A14(1) The area of rectangle ABCD is 54.(B)5A7(2) DE 2EC(C)7A5(D)14A(E)35A(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOTsufficient. (A)(B)(C)(D)(E)q p 6. x, y, and z are consecutive positive integers suchthat x y z. If the units digit of x2 is 6 and theunits digit of y2 is 9, what is the units digit of z2?01245r 4. Is the triangle above equilateral?(1) r 180 – (p r)(2) p 60(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.540 GO ON TO THE NEXT PAGE.Cracking the New GMAT25b New GMAT Diag Math.indd 54012/14/2011 9:32:06 AM

3333B(1) For any integer in P, the sum of 3 andthat integer is also in P.CM3339. If P is a set of integers and 3 is in P, is everypositive multiple of 3 in P?A 37. What is the area of the circle above with centerM?(1) The length of AC is 8 2 .(2) For any integer in P, that integer minus3 is also in P.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.(2) The length of arc ABC is 4π .(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.8. At a certain school, 60 percent of the seniorclass is female. If, among the members of thesenior class, 70 percent of the females and 90percent of the males are going on the senior trip,then what percent of the senior class is going onthe senior trip?(A)(B)(C)(D)(E)82%80%78%76%72%10. Sarah’s seafood restaurant gets a delivery offresh seafood every day, 7 days per week,and her delivery company charges her d dollarsper delivery plus c cents per item delivered. If lastweek Sarah’s seafood restaurant had an averageof x items per day delivered, then which of thefollowing is the total cost, in dollars, of lastweek’s deliveries?(A)7c d x100(B)d (C)7d xc100(D)7d 7xc100(E)7cdx7c x10011. The arithmetic mean of a data set is 46 andthe standard deviation of the set is 4. Which ofthe following contains the interval two standarddeviations from the mean of the set?(A)(B)(C)(D)(E)38 to 4638 to 5442 to 5044 to 4846 to 50GO ON TO THE NEXT PAGE.GMAT Math and Verbal Practice Bin25b New GMAT Diag Math.indd 541 5 4112/14/2011 9:32:10 AM

33333333{3, 5, 9, 13, y}12. If a and b are positive integers, is a a multiple of b?(1) Every distinct prime factor of b is also adistinct prime factor of a.(2) Every factor of b is also a factor of a.(A) Statement (1) ALONE is sufficient, but statement(2) alone is not sufficient.(B) Statement (2) ALONE is sufficient, but statement(1) alone is not sufficient.(C) BOTH statements TOGETHER are sufficient, butNEITHER statement alone is sufficient.(D) EACH statement ALONE is sufficient.(E) Statements (1) and (2) TOGETHER are NOT sufficient.13. Set X contains 10 consecutive integers. If the sumof the 5 smallest members of Set X is 265, thenwhat is the sum of the 5 largest members of SetX?(A)(B)(C)(D)(E)29028528027527015. If the ave

GMAT Math and Verbal Practice Bins Once you know your current scoring level from tak-ing the Warm-Up Test, use the “bins” in the following pages to improve your performance. If you got six or fewer math questions correct on the Warm-Up Test, start by practicing with the problems in Math Bin 1. If you got 6–13 math questions cor-