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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## The 9 squares above are to be filled with x's and o's tagged by: AbeNeedsAnswers ##### This topic has 2 expert replies and 0 member replies ### Top Member ## The 9 squares above are to be filled with x's and o's ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult The 9 squares above are to be filled with x's and o's, with only one symbol in each square. How many of the squares will contain an x ? (1) More than 1/2 of the number of squares will contain an o. (2) Each of the 4 corner squares will contain an x. C Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 02 Jun 2008 Posted: 2424 messages Followed by: 349 members Upvotes: 1090 GMAT Score: 780 From Statement 1, we know we have at least 5 O's, and therefore at most 4 X's. From Statement 2, we know we have at least 4 X's, in the four corners. Neither statement is sufficient, but using both, if we have at least 4 X's and at most 4 X's, we must have exactly 4 X's, and the two statements are sufficient together, so the answer is C. _________________ If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10196 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that the 9 squares above are to be filled with X's and O's, with only one symbol in each square. We're asked for the number of squares that will contain an X. This question is based around some simple Arithmetic and logic - although you might find it useful to draw a few pictures to keep organized. (1) MORE than 1/2 of the number of squares will contain an O. In this prompt, you cannot have a 'fraction' of a square, so MORE than 1/2 of the 9 squares means AT LEAST 5 of the 9 squares will contain an O. This means that no more than 4 of the squares can hold an X, but that could be 0, 1, 2, 3 or 4 squares. Fact 1 is INSUFFICIENT (2) Each of the 4 corner squares will contain an X. With the information in fact 2, we know that AT LEAST 4 of the squares (the 4 corner squares) will contain an X, but we don't know how many total squares will hold an X; it could be 4, 5, 6, 7, 8, or 9 squares. Fact 2 is INSUFFICIENT Combined, we know... -More than 1/2 of the number of squares will contain an O. -Each of the 4 corner squares will contain an X. Based on the possibilities we defined in each of the two Facts, the only possible value that fits BOTH Facts is "4" (re: 4 X's in the four corners and 5 O's in the other squares). Combined, SUFFICIENT Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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