Below a question is given along with two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question.
If $$a$$ and $$b$$ are integers, is $$(a+b)$$ an odd number?
Statement I :$$8<a<11$$
Statement II :$$7<b<10$$

Let's analyze the statements:

Statement I:

It is given, $$8<a<11$$.

Since a is an integer, possible values of a are 9 and 10.

Statement II:

It is given, $$7<b<10$$

Since b is an integer, possible values of b are 8 and 9.

Now, using statement I alone,

If a=9, then (a+b) can be odd or even depending on b.

If a=10, then (a+b) can be odd or even depending on b.

Therefore, Statement I alone is not sufficient to determine if (a+b) is an odd number.

Now, using statement II alone,

If b=8, then (a+b) can be odd or even depending on a.

If b=9, then (a+b) can be odd or even depending on a.

Therefore, Statement II alone is not sufficient to determine if (a+b) is an odd number.

Using both statement I and II, (a+b) can be odd or even. So, both the statements when used together are not sufficient to answer the question.