$$x$$ and y are integers, $$x$$ is even and y is odd. Is the integer z odd?
I) $$xyz + 1$$ is odd
II) $$xy + yz + zx$$ is even

A

if the statement I alone is sufficient to answer the question.

B

if the statement II alone is sufficient to answer the question.

C

if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

if both the statements I and II together are not sufficient to answer the question and additional data is required.