A Question is given followed by two Statements I and II. Consider the Question and the Statements.

Question : Is $(x + y)$ an integer?

Statement-I : $(2x + y)$ is an integer.

Statement-II : $(x + 2y)$ is an integer.

Which one of the following is correct in respect of the above Question and the Statements?

The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone

The Question can be answered by using either Statement alone

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

The Question cannot be answered even by using both the Statements together