Answer:
(d) x+y is odd
Step-by-step explanation:
x and y are consecutive nonzero integers.
Then either
(1) x is even and y is odd
or
(2) x is odd and y is even.
(a) odd times even is even, so (a) is false
(b) According to (1), x^2 + y is odd, and according to (2) x^2 + y is also odd. (b) is false.
(c) Just xy is even according to (1) and (2). According to (1) x + xy is even, and according to (2) x + xy is odd, so (c) is false.
(d) x + y is "odd plus even" or "even plus odd" and is always odd. (d) is true.
Answer: (d) x+y is odd
