Question 25 - Quantitative Practice Test for the GMAT

The integers \(m\) and \(n\) are greater than zero. Which of the following would make \(m^2 + mn – n^2\) an odd integer?

I) \(m\) and \(n\) are both odd

II) \(m\) and \(n\) are both even

III) \(m\) is even and \(n\) is odd