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?

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c= 1

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