We invite you to test your GMAT knowledge for a chance to win! The second week of every month, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that month’s drawing for free Manhattan GMAT prep materials. Tell your friends to get out their scrap paper and start solving!

Here is this month’s problem:

If

p,q, andrare different positive integers such thatp+q+r= 6, what is the value ofx?(1) The average of

xand^{p}xis^{q}x.^{r}(2) The average of

xand^{p}xis not^{r}x.^{q}