GRE Exam Numerical Ability Data Sufficiency

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

Read Solution (Total 0)

GRE Other Question
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 Suppose f is an analytic function of the complex variable z = x + i y given by
f(z) = (2x + 3y) + i g (x, y)
where g(x, y) is a real-valued function of the real variables x and y. If g(2, 3) = 1, then g(7, 3) = ?
(A) -14
(B)-9
(C) 0
(D) 11
(E) 18