【正文】 contains 16 marbles, of which 4 are red, 3 are blue, and the rest are yellow. If 2 marbles are to be selected at random from the jar, one at a time without being replaced, what is the probability that the first marble selected will be red and the second marble selected will be blue? 3/64 1/20 1/16 1/12 1/8 Answer: Answers: Math Section Q1: A wire that weighs 24 kilograms is cut into two pieces so that one of the pieces weighs 16 kilograms and is 34 meters long. If the weight of each piece is proportional to its length, how many meters long is the other piece of wire? 8 11 13 17 20 Answer: Q2: A E In the figure, points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, D is on the smaller circle, and E is on the larger circle. What is the area of the region inside the larger circle and outside the smaller circle? (1) AB = 3 and BC =2 (2) CD =1 and DE = 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. Answer: Q3: A certain pany assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the pany assign 3 employees to 2 different offices? 5 6 7 8 9 Answer: Q4: If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S? I. II. III. A. None B. I only C. III only D. II and III only E. I, II, and III Answer: Q5: If vmt ≠ 0, is v2m3t4 0? (1) m v2 (2) m t4 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 a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5letter code words to the number of 4letter code words? 5 to 4 3 to 2 2 to 1 5 to 1 6 to 1 Answer: Q7: If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be 2 5 6 7 14 Answer: Q8: An equilateral triangle that has an area of 9 is inscribed in a circle. What is the area of the circle? Answer: Q9: If x and z are integers, is at least one of them even? (1) x + z is odd. (2) x z is odd. 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: Q10: A certain quantity is measured on two different scales, the Rscale and the Sscale, that are related linearly. Measurements on the Rscale of 6 and 24 correspond to measurements on the Sscale of 30 and 60, respectively. What measurement on the Rscale corresponds to a measurement of 100 on the Sscale? 20 36 48 60 84 Answer: Q11: The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18. 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