X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an odd number.
2. Y^(X + Y) is an integer.
3. X^Y is a positive number.  Select
A) 2 only B) 3 only C) 1 and 3 only D) 2 and 3 only E) 1, 2 and 3
Using the properties for even and odd numbers along with positive and negatives,   1. (X + Y) is an odd number : even + odd is always a odd number, so eliminate 1   2. Y^(X + Y) is an integer. : an odd and positive number could be raised to power of either positive or negative, so not conclusive, eliminate 2   3. X^Y is a positive number. : a negative number raised to power of odd number is always negative.   Answer : 3 only
<result>B</result>
X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an odd number.
2. Y^(X + Y) is an integer.
3. X^Y is a positive number.