1. A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white?
a. 3/10
b. 2/5
c. 1/2
d. 3/5
e. 7/10
2. How many positive integers not exceeding 2001 are multiples of 3 or 4 but not 5?
(A) 768 (B) 801 (C) 934 (D) 1067 (E) 1167
3. A charity sells 140 benefit tickets for a total of $2001. Some tickets sell for full price (a whole dollar amount), and the rest sell for half price. How much money is raised by the full-price tickets?
(A) $782 (B) $986 (C) $1158 (D) $1219 (E) $1449
4. In triangle ABC, LABC = 45°. Point D is on BC so that 2. BD = CD and /DAB = 15°. What is /ACB?
(A) 54° (B) 60° (C) 72° (D) 75° (E) 90°
5. Consider sequences of positive real numbers of the form x, 2000, y..... in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of x does the term 2001 appear somewhere in the sequence?
(A) 1 (B) 2 (C) 3 (D) 4 (E) more than 4
