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SAT Numbers

If $$x$$ and $$y$$ are integers, for which of the following ordered pairs $$(x,y)$$ is $$x-2y$$ an odd number?

(A) $$\ \ (32,1)$$
(B) $$\ \ (16, 1)$$
(C) $$\ \ (6, 17)$$
(D) $$\ \ (0, -19)$$
(E) $$\ \ (-15, -10)$$

If $$x$$ and $$y$$ are integers, and $$x^{6}y^{9}$$ is odd, which of the following must be true?

I. $$xy$$ is odd.
II. $$x^{6}y$$ is even.
III. $$y^{9}$$ is odd.

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III

If $$x$$ represents a positive even integer, which of the following represents the even integer that immediately precedes $$x$$?

(A) $$\ \ x-1$$
(B) $$\ \ x-2$$
(C) $$\ \ x+2$$
(D) $$\ \ 2x$$
(E) $$\ \ 2x+2$$

How many integers between $$100$$ and $$1000$$ contain exactly one zero?

(A) $$\ \ 9$$
(B) $$\ \ 81$$
(C) $$\ \ 162$$
(D) $$\ \ 170$$
(E) $$\ \ 200$$

If $$n$$ is an odd integer, all of the following must be odd integers EXCEPT:

(A) $$\ \ n^{11}$$
(B) $$\ \ n^{11}+10$$
(C) $$\ \ n^{11} + 11n +11$$
(D) $$\ \ n^{10}$$
(E) $$\ \ n^{10}+ 10n + 11$$

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