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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 ## Six countries in a certain region sent a total of 75 tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Six countries in a certain region sent a total of 75 ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMAT Prep Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives? (1) One of the six countries sent 41 representatives to the Congress. (2) Country A sent fewer than 12 representatives to the Congress. OA E. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15362 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 AAPL wrote: GMAT Prep Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives? (1) One of the six countries sent 41 representatives to the Congress. (2) Country A sent fewer than 12 representatives to the Congress. Let the 6 countries be A, B, C, D, E and F. The question stem asks whether Aâ‰¥10. Plug in A=10 (which satisfies statement 2 and is at least 10) and A=9 (which also satisfies statement 2 but is NOT at least 10). To save time, let F=41, which satisfies statement 1. Case 1: Total = 75, F=41, A=10. Remaining representatives for B, C, D and E = 75-41-10 = 24. The following combination works for B, C, D and E: B=9 C=8 D=6 E=1. Thus, it's possible that A=10. Case 2: Total = 75, F=41, A=9. Remaining representatives for B, C, D and E = 75-41-9 = 25. The following combination works for B, C, D and E: B=8 C=7 D=6 E=4. Thus, it's possible that A<10. Since it's possible that A=10 or that A<10, the two statements combined are INSUFFICIENT. The correct answer is E. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1984 messages Followed by: 30 members Upvotes: 470 AAPL wrote: GMAT Prep Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives? (1) One of the six countries sent 41 representatives to the Congress. (2) Country A sent fewer than 12 representatives to the Congress. OA E. Given: > Total number of reps from 6 countries = 75; > Country A sent the second greatest number of reps Question: Did Country A send at least 10 reps? Let's take each statement one by one. (1) One of the six countries sent 41 representatives to the Congress. Since 41 > 75/2, the country, which sent 41 reps, must be the country that sent the greatest number of reps. Case 1: Say Country A sent 10 reps, thus, the remaining 4 countries, together would have sent 75 - 41 - 10 = 24 reps. This is possible, for example, the four countries sent 9, 8, 6 and 1 reps, respectively. The answer is Yes. Case 2: Say Country A sent 9 reps, thus, the remaining 4 countries, together would have sent 75 - 41 - 9 = 25 reps. This is possible, for example, the four countries sent 8, 7, 6 and 4 reps, respectively. The answer is No. No unique answer. Insufficient. (2) Country A sent fewer than 12 representatives to the Congress. Both the cases discussed above are applicable here too. So, even combining the two statements will not suffice. Insufficient. The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Madhapur | Hyderabad GMAT Prep | Bangalore GMAT Courses | Himayatnagar GRE Prep | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! 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