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 pq, and r are different positive integers such that p + q + r = 6, what is the value of x ?

(1) The average of xp and xq is xr.

(2) The average of xp and xr is not xq.

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

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The monthly 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).

### 2 responses to Monthly GMAT Challenge Problem Showdown: January 13, 2013

1. I do not think option B helps in anyways because it is said that x, y and z are different integers. But it is true that X is 1. But since the X=1 does not suffice the statement, the answer should be c.
Please correct me if wrong