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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 ## Of the 60 animals on a certain farm, 2/3 are either pigs or ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Of the 60 animals on a certain farm, 2/3 are either pigs or ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as pigs (2) The farm has more than 12 pigs OA C Source: GMAT Prep ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12995 messages Followed by: 1250 members Upvotes: 5254 GMAT Score: 770 Top Reply BTGmoderatorDC wrote: Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as pigs (2) The farm has more than 12 pigs OA C Source: GMAT Prep Target question: How many of the animals are cows? Given: Of the 60 animals in a certain farm, 2/3 are either pigs or cows Let P = # of pigs Let C = # of cows 2/3 of 60 = 40, so we can say that P + C = 40 Statement 1: The farm has MORE THAN twice as many cows as it has pigs. In other words, 2P < C If we know 2P < C and P + C = 40, do we have sufficient information to find the value of C? No. Consider these 2 conflicting cases: Case a: P = 1 and C = 39, in which case there are 39 cows Case b: P = 2 and C = 38, in which case there are 38 cows Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: The farm has more than 12 pigs. There's no way we can use this information to determine the number of cows. Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Statements 1 and 2 combined Statement 2 says that P > 12. So, let's examine some possibilities. If P = 13, then C > 26 (from statement 1). So, C must equal 27 (since P + C = 40) If P = 14, then C > 28 (from statement 1). In this case, P+C will be GREATER THAN 40, but we need P+C to EQUAL 40 (from the given information). So, P cannot equal 14. In fact, for the same reasons, P cannot equal 15, 16, 17, etc. . . So, the only case that's possible is for there to be 13 pigs and 27 cows Since we can now answer the target question with certainty, the combined statements are SUFFICIENT Answer = C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1984 messages Followed by: 30 members Upvotes: 470 Top Reply BTGmoderatorDC wrote: Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows? (1) The farm has more than twice as many cows as pigs (2) The farm has more than 12 pigs OA C Source: GMAT Prep Given that of the 60 animals, 2/3 are either pigs or cows, we have cows + pigs = 2/3 of 60 = 40 Say the number of cows = c and the number of pigs = p Thus, c + p = 40 We have to get the value of c. Let's take each statement one by one. (1) The farm has more than twice as many cows as pigs c > 2p. Can't get the unique value of c. insufficient. (2) The farm has more than 12 pigs p > 12. Can't get the unique value of c. insufficient. (1) and (2) From p > 12, we have the minimum value of p = 13 and from c > 2p, we have the minimum value of c = 2*13 + 1 = 27 Since c + w = 40 and the minimum value of p = 13 and the minimum value of c = 27 itself make 40, there is no possibility; thus, c = 27. Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Prep Courses San Francisco | IELTS Prep Courses Boston | Seattle IELTS Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • FREE GMAT Exam Know how you'd score today for$0

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