Data Sufficiency

What is the sum of a certain pair of consecutive odd integers?

(1) At least one of the integers is negative.
(2) At least one of the integers is positive.

I think the answer should be E. But the OA is C.

Please explain. Thanks.

My approach - stmt 1 insuff. as one integer can be negative...or two can be negative. It says atleast so we can't be sure.
Similarly stmt 2 insuff.

Even if we combine - the three odd integers could be
-3,-1,1 or -1,1,3 satisfying both the conditions.

When you combine 1 and 2, the only solution woul be -1 and 1

-3, -1 or 1,3 does not satisfy the both conditions since -3, -1 are both
negative and 1,3 are both positive.

least one is positive and least one is negative pair of consecutive odd integers are only -1 and 1

Thanks. You are absolutely right.

I am not sure why i missed the word 'pair'. I some how thought we had more than two numbers. Was on the wrong track!