GRE Exam Numerical Ability Data Sufficiency

Which of the following sets has the greatest cardinality?
(A) R
(B) The set of all functions from Z to Z
(C) The set of all functions from R to (0, 1)
(D) The set of all finite subsets of R
(E) The set of all polynomials with coefficients in R

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GRE Other Question
The group of symmetries of the regular pentagram is isomorphic to the
(A) symmetric group S5
(B) alternating group A5
(C) cyclic group of order 5
(D) cyclic group of order 10
(E) dihedral group of order 10 Let K be a non empty subset of R^n, where n > 1. n where n ! 1. Which of the following statements must be true?
I. If K is compact, then every continuous real-valued function defined on K is bounded.
II. If every continuous real-valued function defined on K is bounded, then K is compact.
III. If K is compact, then K is connected.
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III