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magical cook
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Answer C:
The following conditions would equate an even sum:
Even + even
Odd + odd
The following conditions would equate an even product:
Even * even
Even * odd
The first statement:
b is even no matter what (it's even*odd). Because the sum is even, a must also be even.
The second statement:
a and b must either both be even or both be odd.
Together:
Since a is even according to statement 1, b must be even according to statement 2.
