What is the value of X?

I. X and Y are unequal positive even integers, less than 10, and $$\frac{X}{Y}$$ is an odd integer.

II. X and Y are positive even integers, each less than 10, and product of X and Y is 12.

If we take the first statement alone,
X and Y can be among 2, 4, 6, and 8.
It is given that X/Y is an odd integer. So, X must be greater than Y.
If we take different pairs of (X,Y) among (8, 2), (8, 4), (8, 6), (6, 2), (6, 4), (4, 2), only (6, 2) satisfies the above condition of X/Y being an odd integer.
So, we can uniquely determine the values of X and Y which are 6 and 2 respectively.

If we take the second statement alone,
12 = 2 * 2 * 3
We want 12 to be the product of two even numbers.
The only possibility is when the numbers are 2 and 6.
However, we don't know any relation between X and Y.
So, both of them can be either 2 or 6.
Therefore, statement II alone is not sufficient to determine the value of X.

Hence, option A is the correct answer.