1 Math Section ------------------------------------------------------------------------------------------------------------ Q1: A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost per ounce of the family-size box of cereal? (1) The family-size box of cereal contains 10 ounces more than the regular-size box of cereal. (2) The family-size box of cereal costs $5.40. 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: ------------------------------------------------------------------------------------------------------------ Q2: A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars? A. 0 B. 1/9 C. 2/9 D. 1/3 E. 1 Answer: ------------------------------------------------------------------------------------------------------------ Q3: If x and y are positive, is 4x > 3y? (1) x > y - x (2) x/y < 1 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: 2 If n is the product of the integers from1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n? A. 10 B. 12 C. 15 D. 18 E. 20 Answer: ------------------------------------------------------------------------------------------------------------ Q5: Is x > k? (1) 2x • 2 k = 4 (2) 9x • 3 k = 81 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: If x and y are positive, what is the value of x – y? (1) (x2 – y2 ) / (x + y) = 4 (2) x + y= 7 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: ------------------------------------------------------------------------------------------------------------ Q7: A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? A. 5/12 B. 2/5 C. 1/2 D. 3/4 E. 5/6 3 Answer: ------------------------------------------------------------------------------------------------------------ Q8: In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1997 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997? (1) From 1977 to 1997 the number of female employees increased by 200 percent at Company C. (2) In 1977 there were 100 female employees at Company C. A. Statement (1) ALONE is sufficient, but statement