GRE Exam Numerical Ability Number System

Which of the following statements are true about the open interval (0, 1) and the closed interval [0, 1]?
I. There is a continuous function from (0, 1) onto [0, 1].
II. There is a continuous function from [0, 1] onto (0, 1)
III. There is a continuous one-to-one function from (0, 1) onto [0, 1]
(A) None
(B) I only
(C) II only
(D) I and III only
(E) I, II, and III

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(B) I only
8 years agoHelpfull: Yes(0) No(0)

GRE Other Question

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 The author presents the life of Zane Grey with ___________ unusual in a biographer: he is not even convinced that Grey was a good writer.
A) a zeal
B) a deftness
C) a detachment
D) an eloquence
E) an imaginativeness