1) Ali is thinking of a whole number. When her number is divided by 99, the remainder is 8. What is the remainder when Ali's number is divided by 9?

2) What is the only negative integer n which satisfies?

n(n+1)(n+2)(n+3) = 4 x 3 x 2 x 1

3) Segments drawn from a vertex of a rectangle to points A and B on the longer side have lengths 25 and 39. If the shorter side of the rectangle has length 15, how long is AB?

4) If X(squared) + xy + y(squared) = 7 and x + y = 7, what is the value of xy?

5) There are 5 positive integers less than 6, and 3 of these are factors of 6; so 60% of the positive integers less than 6 are factors of 6. What is the smallest positive integer n > 1 for which fewer than 1% of the positive integers LESS THAN are factors of n?

6) It can be proven that there are exactly three integral values of x for which 4(to the X power) + 4(to the 1993 power) + 4(to the 1996 power) is a perfect square. (the square of an integer). What are these three values of x?