Hi M,
Thanks for writing in. Unfortunately I don't have much of an expertise in MPAs but I'll do my best to answer your questions. You should also be able to get most of the "average GMAT" information on the MPA programs from their websites.
* I don't know if MPA prorgams would be stricter than a top MBA program, but if you can track down the average GMAT, broken down by question, you should have your answer.
*A dual degree program is likely going to adopt the admission standards of the more competitive program. Scholarships are incredibly tough to predict, there is no "magic GMAT" score that opens up scholarships -- their prerequisites vary by program.
* Traditionally MBA programs only look at your best GMAT score, so you're safe to retake it without consequence.
* That is a great question. It's heavily-discussed that different parts of the world tend to have different GMAT scores. A lot of this is based on the fact that eduction systems vary by country and culture, but the GMAT is universal, and thus some countries might be better prepared for the test due to their upbringing. You don't mention where you're from, so I can't comment directly on how this impacts you.
Best of luck,
Daniel Richards
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