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Stmnt A - there can be 2 values of X, which are 0 and -1 - Not sufficient.
Stmnt B - There can be only value of X which is 0, no other value satisfies.- Hence sufficient.

D should be the answer The first statement although yields two results still answers the question, 0 and -1 are not evenand statement 2 0 is not even.

No, 1st statement yields 2 answers: -1 and 0, which are not equivalent if we consider their remainders by 2. Therefore, on the basis of 1 it can't be figured out what is satisfied...

I am still confused, Emmanuel, does not the first and second statement answer the question of even and odd, although two results are obtained from the first statement.

I am still confused, Emmanuel, does not the first and second statement answer the question of even and odd, although two results are obtained from the first statement.

It would have answered if the 2 results were 0 and 2, or 3 and 1, respectively. I.e., it would have answered if the 2 results were both odd or both even... But 0 and -1 are NOT BOTH odd or integer.