HI DesiGmat,
This is a great "concept" question - it really tests a person's thoroughness when dealing with "restrictions" (or lack of restrictions).
We're asked for the MAXIMUM number of terms that COULD be greater than 0, given the following restrictions:
1) There are 25 terms in total
2) One of the terms is 0
3) The average of the terms = the product of the terms
Since one of the terms is 0, the product = 0. Since we're told that the average = the product, the average ALSO = 0
Now we have to think about how we can make the average = 0 AND maximize the number of terms that are greater than 0. Notice how the question did NOT say anything about "consecutive" or "duplicates" - so we have a lot of ways to "play around" with this idea.
What if we had....
A 0, Twenty-three 1s and a -23
The product = 0 (because we have a 0 in the group)
The average = 0 + 23(1) +1(-23) = 0/25 = 0
In this situation, we have 23 numbers that are greater than 0. From a concept-standpoint, it can't be 24 though, since we need at least one negative term to offset the positives and bring the average back down to 0.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****
Rich Cohen
Co-Founder & GMAT Assassin
Special Offer:
Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/