Given below are two statements :

Statement I: The product of two rational numbers is always a rational number.

Statement II: The division of two rational numbers is always a rational number.

In the light of the above statements, choose the correct answer from the options given below:

Statement I is true but Statement II is false

Statement I: The product of two rational numbers is always a rational number. This is true because the product of two rational numbers can be written as a finite decimal or fraction, and the result will also be a finite decimal or fraction.

Statement II: The division of two rational numbers is always a rational number. This is false because division by zero is undefined, and dividing two rational numbers can result in an irrational number (e.g., 2/0 or 4/2 = 2).

Thus, Statement I is true, but Statement II is false.