1 Math Section ------------------------------------------------------------------------------------------------------------ Q1: What is 35 percent of the sum of 1.4 and 5 1 ? A. 0.42 B. 0.56 C. 0.85 D. 1.55 E. 1.95 Answer: ------------------------------------------------------------------------------------------------------------ Q2: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m +d ? A. 16% B. 32% C. 48% D. 84% E. 92% Answer: ------------------------------------------------------------------------------------------------------------ Q3: If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 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. Answer: ------------------------------------------------------------------------------------------------------------ Q4: If the average (arithmetic mean) of positive integers x, y, and z is 10, what is the greatest possible value of z ? A. 8 B. 10 2 C. 20 D. 28 E. 30 Answer: ------------------------------------------------------------------------------------------------------------ Q5: A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department ? (1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2 : 3 : 4, respectively. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads. 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. Answer: ------------------------------------------------------------------------------------------------------------ Q6: In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 16th, 17th, and 18th terms in the sequence ? A. 2 18 B. 3(217) C. 7(216) D. 3(216) E. 7(215) Answer: ------------------------------------------------------------------------------------------------------------ Q7: If each of the 8 employees working on a certain project received an award, was the amount of each award the same ? (1) The standard deviation of the amounts of the 8 awards was 0. (2) The total amount of the 8 awards was $10,000. 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. Answer: ------------------------------------------------------------------------------------------------------------ 3 Q8: A cash register in a certain clothing store is the same distance from two dressing rooms in the store. If the distance between the two dressing rooms is 16 feet, which of the following could be the distance between the cash register and either dressing room? I. 6 feet II. 12 feet III. 24 feet A. I only B. II only C. III only D. I and II E. II and III Answer: ------------------------------------------------------------------------------------------------------------ Q9: