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Statement 1 is definitely sufficient.
x + x + 1 + x + 2 is odd i.e., 3x + 3 is odd. So, 3x has to be even. As 3 is odd and x is an integer, x has to be even. Note Zero is an even number too. So, we can conclude that x is not odd. As the question is answered, statement 1 is sufficient.
Statement 2 - if the statement is x^2 is even, then it means that x is even. So, it again answers the question that x is not odd. So sufficient.
If statement 2 is how I have interpreted, then the answer is D else it is A
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