GRE Exam Numerical Ability Number System

For how many positive integers k does the ordinary decimal representation of the integer k! end in exactly 99 zeros?
(A) None
(B) One
(C) Four
(D) Five
(E) Twenty-four

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GRE Other Question

What is the minimum value of the expression x + 4z as a function defined onR^3 , subject to the constraint x^2 + y^2 + z^2 =< 2 ?
(A) 0
(B) 2
(C) – Sqrt(34)
(D) – Sqrt(35)
(E) -5 Sqrt(2) Suppose A and B are n*n invertible matrices, where n >1, and I is the n*n identity matrix. If A and B are similar matrices, which of the following statements must be true?
I. A - 2I and B – 2I are similar matrices.
II. A and B have the same trace.
III. A^-1 and B^-1 are similar matrices.
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III