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

Here is this week’s problem:

If x is positive and not equal to 1, then the product of x^1/n for all positive integers n such that 21 ≤ n ≤ 30 is between

To see the answer choices, and to submit your answer, visit our Challenge Problem Showdown page on our site.

Discuss this week’s problem with like-minded GMAT takers on our Facebook page.

The weekly winner, drawn from among all the correct submissions, will receive One Year of Access to our Challenge Problem Archive, AND the OG Archer, AND Our Six Computer Adaptive Tests ($92 value).

Other Posts You May Like:

• Challenge Problem Showdown – May 14th, 2012
• Challenge Problem Showdown – May 7th, 2012
• Challenge Problem Showdown – April 30th, 2012