2. Two different prime numbers between 4 and 18 are chosen. When their sum is subtracted from their product, which of the following numbers could be obtained?

(A) 21

(B) 60

(C) 119

(D) 180

(E) 231

3. Boris has an incredible coin changing machine. When he puts in a quarter, it returns five nickels; when he puts in a nickel, it returns five pennies; and when he puts in a penny, it returns five quarters. Boris starts with just one penny. Which of the following amounts could Boris have after using the machine repeatedly?

(A) $3.63

(B) $5.13

(C) $6.30

(D) $7.45

(E) $9.07

4. Figures 0, 1, 2, and 3 consist of 1, 5, 13, and 25 nonoverlapping unit squares, respectively. If the pattern were continued, how many nonoverlapping unit squares would there be in figure 100?

(A) 10401

(B) 19801

(C) 20201

(D) 39801

(E) 40801

figure 0

figure 1

figure 2

figure 3

1. The Fibonacci sequence 1,1,2,3,5,8,13,21, ... starts with two 1s, and each term afterwards is the sum of its two predecessors. Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?

(A) 0

(B) 4

(C) 6

(D) 7

(E) 9

2. How many positive integers b have the property that log_b 729 is a positive integer?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4

3. A checkerboard of 13 rows and 17 columns has a number written in each square, beginning in the upper left corner, so that the first row is numbered 1,2,...,17, the second row 18,19,...,34, and so on down the board. If the board is renumbered so that the left column, top to bottom in 1,2,...,13, the second column 14,15,...,26, and so on across the board, some squares have the same numbers in both numbering systems. Find the sum of the numbers in these squares (under either system).

(A) 222

(B) 333

(C) 444

(D) 555

(E) 666

4. In triangle ABC, AB=14, BC=14, and AC =15. Let D denote the midpoint of BC and let E denote the intersection of BC with the bisector of angle BAC. Which of the following is closest to the area of the triangle ADE?

(A) 2

(B) 2.5

(C) 3

(D) 3.5

(E) 4