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Each stand-alone plan includes:
Diagnostic test?helps you pinpoint your strengths and weaknesses soyou can focus your review on the topics in which you need the most help
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"synopsis" may belong to another edition of this title.
William Ma is Chair of the math department at Herricks High School in New Hyde Park,New York.
Jane R. Burstein is a private SAT tutor and a Reader for the AdvancedPlacement English Language exam.
This diagnostic test is equivalent to a full-length GMAT. It has four sections, which are identical to the four sections on the GMAT:
Number Section Number of Questions Time
1 Analytical Writing: Analysis of an Issue 1 question 30 minutes 2 Analytical Writing: Analysis of an Argument 1 question 30 minutes 3 Quantitative 37 questions 75 minutes 4 Verbal 41 questions 75 minutes
When you take this exam, try to simulate the test conditions by following the time allotments carefully. Use word-processing software (such as Microsoft Word) to write the two analytical essays. Do not use the spellcheck and grammar-check functions of your software. If you don't have access to a computer, use the answer sheets provided. For sections 3 and 4, use the answer sheets provided and fill in the corresponding circles. (On the actual CAT GMAT, you will select your answer on the computer and then click Confirm.)
Remember: On the actual CAT GMAT, the questions in sections 3 and 4 will begin at a fairly easy level and then become gradually more difficult as you answer questions correctly. If you answer a question incorrectly, your next question will be an easier one. On this diagnostic test, the questions vary in difficulty level.
Section 1: Analysis of an Issue
Time: 30 minutes
Directions: Write an essay in response to the prompt:
"A democracy can work only if the people are empowered to challenge the authority of the leaders."
Discuss the extent to which you agree or disagree with the statement. Support your response with reasons and examples taken from your own experience, your observations, or your reading.
Section 2: Analysis of an Argument
Time: 30 minutes
Directions: Write an essay in response to the prompt:
The following appeared in a memorandum from the CEO of Superb Company to the head of human resources:
"We should employ more part-time workers because employees who work part-time instead of full-time have better morale and fewer absences due to illness. In our Centerville store, which has many part-time employees, attendance is up 14 percent over last year's attendance. In our Fringeville discount outlet store, however, which has only full-time employees, the figures for sick days used are up slightly. In addition, an employee survey shows that more Centerville employees reported higher job satisfaction than those at the Fringeville outlet."
Discuss the logic of this argument. In your discussion, be sure to analyze how well reasoned you think it is and evaluate the use of evidence in the argument. For example, you may need to consider what faulty or questionable assumptions underlie the thinking and what alternative explanations or counterexamples might weaken the conclusion. In your response, you may want to discuss what sort of evidence would strengthen or refute the argument, what changes in the argument would make it more logically sound, and what information would help you more accurately evaluate its conclusion.
Section 3: Quantitative
Time: 75 minutes 37 questions
Directions (1-22): Solve the problems and indicate the best answers. All given figures lie in a plane and are drawn accurately unless otherwise indicated. All numbers used are real.
1. Rebecca has twice as much money as Rachel. If Rebecca gives Rachel $60, then the two of them will have the same amount of money. How much money does Rebecca have?
A. $60 B. $90 C. $120 D. $180 E. $240
2. Janet and Karen are meeting at a library to work on their math project. Because there are five libraries in town, they have decided to choose the library that would result in their traveling the smallest total distance. The accompanying scatter plot graph shows the distances that Karen would have to travel to go to each of the five libraries and the distances that Janet would have to travel to go to each of the five libraries. Which library should they choose?
A. Library A B. Library B C. Library C D. Library D E. Library E
3. What is the arithmetic mean (average) of the set of consecutive integers {2, 1, 0, 1, ..., 99, 100}?
A. 47 B. 49 C. 50 D. 51.5 E. 53
4. If [square root of x] = 4, what is the value of [chi square]?
A. 4 B. 8 C. 16 D. 64 E. 256
5. If the local post office only has three denominations of stamps available, 1 stamps, 10 stamps, and 20 stamps, how many different sets of stamps can be used to form 41?
A. 4 B. 5 C. 8 D. 9 E. 10
6. If Michael drove from home to school at 30 miles per hour, and then drove from school back home using the same route at 20 miles per hour, what was his average speed in miles per hour for the round trip?
A. 10 B. 24 C. 25 D. 26 E. 50
7. The distribution of a certain test is a normal distribution. If two standard deviations more than the mean is 88 and one standard deviation less than the mean is 76, what is the value of the mean?
A. 78 B. 80 C. 82 D. 84 E. 86
8. The Cohen family consists of two parents and three children. If the average height of the five people in the family is 5 feet 8 inches, and the average height of the two parents is 5 feet 5 inches, what is the average height of the three children?
A. 5 feet, 8.5 inches B. 5 feet, 9 inches C. 5 feet, 10 inches D. 5 feet, 11 inches E. 6 feet
9. What is the value of ([square root of 5] + 2)(2 - [square root of 5])?
A. -21 B. -1 C. 0 D. 1 E. 21
10. What is the value of -1/10 + 1/100 - 1/1,000?
A. 91/100 B. 99/100 C. 900/1,000 D. 909/1,000 E. 98/1,000
11. Katie, Cristen, Johnny, and Juliet have all been promoted to senior management positions in a company. They are to be assigned to four new offices, of which only one is a corner office with a panoramic view. How many different ways can the four of them be assigned to their new offices with either Cristen or Johnny having a corner office?
A. 6 B. 12 C. 16 D. 24 E. 36
12. As part of the high school physical fitness program, each of the 180 students in a school was required to sign up for exactly one activity: soccer, baseball, table tennis, or volleyball. If half the students signed up for soccer, one-third signed up for baseball, and, of the remaining students, twice as many signed up for volleyball as signed up for table tennis, how many students signed up for table tennis?
A. 5 B. 10 C. 15 D. 20 E. 30
13. Two rounds of auditions were being held to select 40 students for a new chorus that was being formed. In the first round of auditions, 30 students were selected, 80% of whom were girls. If the 25% of the members of the chorus had to be boys, how many boys had to be selected in the second round of auditions?
A. 2 B. 3 C. 4 D. 8 E. 10
14. If all the integers greater than or equal to 500 and less than or equal to 600 were written on a list, how many times would the digit 5 appear?
A. 20 B. 110 C. 119 D. 120 E. 160
15. Mr. Cohen bought a box of individually wrapped chocolates and decided to give the chocolates to his students. If he gave each student 2 pieces of chocolate, 25 pieces would be left in the box. If he gave each student 3 pieces, 5 pieces would be left in the box. How many students are in Mr. Cohen's class?
A. 6 B. 15 C. 20 D. 25 E. 30
16. If the kth term of a sequence is defined as 5k - 1, what is the value of the smallest term greater than 100?
A. 20 B. 21 C. 104 D. 109 E. 504
17. There are 30 cups of coffee on a table. If 16 have milk added, 14 have sugar added, and 10 have both milk and sugar added, how many cups of coffee have neither milk nor sugar added?
A. 0 B. 2 C. 4 D. 6 E. 10
18. If you hire Mary's Car Service to drive you across town, you will be charged $10 plus an additional $2, for each mile. Which of the following represents the total number of dollars that you would be charged if the trip is n miles?
A. 2n B. 10 + 2n C. 10 + 4n D. 10 + 8n E. 12n
19. If [3.sup.n] + [3.sup.n] + [3.sup.n] = [9.sup.6], what is the value of n?
A. 2 B. 3 C. 4 D. 11 E. 12
20. In a printing company, if one machine can print 600 copies in 12 hours, how long would it take to print 1,200 copies with three identical machines working together?
A. 4 B. 8 C. 12 D. 18 E. 24
21. Starting from home, Mary drove 5 miles due east to Bill's house. She then drove 6 miles due south to Karen's house. Mary then drove 3 miles due east to Janet's house. What is the direct distance, in miles, between Mary's house and Janet's house?
A. 4 B. 8 C. 10 D. 14 E. 16
22. Line l intersects [bar].AB and [bar].BC at D and E, respectively. What is the value of x?
A. 60 B. 80 C. 100 D. 120 E. 140
Directions (23-37): Each question is accompanied by two statements labeled (1) and (2). Decide whether the data provided in the statements are sufficient to answer the question, and then choose the correct answer choice. When a data sufficiency question asks for the value of a quantity, it is considered sufficient only if it is possible to determine exactly one numerical value for the quantity.
23. What is the value of 2x - y?
(1) y = 2x + 1 (2) 2y - 4x = 2
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, but neither statement alone is sufficient. D. Each statement alone is sufficient. E. Statements (1) and (2) together are not sufficient.
24. What is the area of square ABCD? (1) The perimeter of ABCD is 12. (2) BD = 3[square root of 2].
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, but neither statement alone is sufficient. D. Each statement alone is sufficient. E. Statements (1) and (2) together are not sufficient.
25. Is the positive integer n divisible by 12?
(1) n is divisible by 6. (2) n is divisible by 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, but neither statement alone is sufficient. D. Each statement alone is sufficient. E. Statements (1) and (2) together are not sufficient.
26. The radius of a circle with center O is 4 and points A, B, C, and D are on circle O. Is [bar].AB a diameter of circle O?
(1) [bar].AB [perpendicular to] [bar].CD (2) [bar].AB = 8
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, but neither statement alone is sufficient. D. Each statement alone is sufficient. E. Statements (1) and (2) together are not sufficient.
27. What is the mean of the set of numbers [a.sub.1], [a.sub.2], [a.sub.3], ..., [a.sub.20]?
(1) The sum of [a.sub.1] + [a.sub.2] + [a.sub.3] + ... + [a.sub.20] is 100. (2) The standard deviation of the set is 2.
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, but neither statement alone is sufficient. D. Each statement alone is sufficient. E. Statements (1) and (2) together are not sufficient.
28. Is [DELTA]ABC a right triangle?
(1) AB = 10, BC = 24 and AC = 26 (2) m]??]A + m]??ITL = 90
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, but neither statement alone is sufficient. D. Each statement alone is sufficient. E. Statements (1) and (2) together are not sufficient.
29. In Karen's math class, there were four tests during the first semester. If the average of her first three tests was an 84, what was her average for all four tests?
(1) The grades for the first three tests were 80, 83, and 89. (2) The grade for the fourth test was 92.
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, but neither statement alone is sufficient. D. Each statement alone is sufficient. E. Statements (1) and (2) together are not sufficient.
(Continues...)
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