### Challenge Problem Showdown – December 3, 2012

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:

Operation

Fmeans take the square root, operationGmeans multiply by constantc, and operationHmeans take the reciprocal. For which value ofcis the result of applying the three operations to any positivexthe same for all of the possible orders in which the operations are applied?

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 GMAT Navigator, AND Our Six Computer Adaptive Tests ($92 value).

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It only goes to show where theres will theres a way. Keep on trying. – What if nothing exists and were all in somebodys dream? Or whats worse, what if only that fat guy in the third row exists? – Woody Allen Born 1935

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