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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 ## In a class of 30 students, 2 students did not borrow any tagged by: BTGmoderatorLU ##### This topic has 3 expert replies and 0 member replies ### Top Member ## In a class of 30 students, 2 students did not borrow any ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: GMAT Prep In a class of 30 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per students was 2, what is the maximum number of books any single student could have borrowed? A. 3 B. 5 C. 8 D. 13 E. 15 The OA is D ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1979 messages Followed by: 30 members Upvotes: 470 BTGmoderatorLU wrote: Source: GMAT Prep In a class of 30 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per students was 2, what is the maximum number of books any single student could have borrowed? A. 3 B. 5 C. 8 D. 13 E. 15 The OA is D Total number of books borrowed = T = 30*2 = 60; Total number of books borrowed by 12 students = A = 1*12 = 12; Total number of books borrowed by 10 students = B = 2*10 = 20; Thus, the number of students who borrowed at least 3 books = 30 - 2 - 12 - 10 = 6; Since we need to maximize the number of books any single student can borrow, let's assume that out of the remaining 6 students, barring ONE student, 5 borrowed the minimum number of books, i.e., 3 each. Thus, the total number of books borrowed by 5 students = C = 3*5 = 15; Say, the single student borrowed D number of books; thus, we have T = A + B + C + D 60 = 12 + 20 + 15 + D => D = 13 The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GMAT Classes Singapore | GMAT Tutoring Zurich | GRE Prep Hyderabad | TOEFL Prep Classes Manhattan | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12985 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 BTGmoderatorLU wrote: Source: GMAT Prep In a class of 30 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per students was 2, what is the maximum number of books any single student could have borrowed? A. 3 B. 5 C. 8 D. 13 E. 15 The OA is D The average (arithmetic mean) number of book borrowed per student was 2. Since there are 30 students altogether, the total number of borrowed books = (2)(30) = 60 2 students borrowed 0 books: total of 0 books 12 students borrowed 1 book each: total of 12 books 10 students borrowed 2 books each: total of 20 books 6 students borrowed 3 or more books each: total of 28 books (since the total borrowed books must equal 60) Now we'll focus on the 6 students who borrowed a total of 28 books. In order to MAXIMIZE the number of books that one students borrowed, we need to MINIMIZE the number of books that the other 5 students borrowed. Each student must borrow at least 3 books, so let's say that those 5 students borrowed 3 books each. This accounts for 15 books, which means the last remaining student borrowed 13 books. Answer: D 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 25 Apr 2015 Posted: 2801 messages Followed by: 18 members Upvotes: 43 BTGmoderatorLU wrote: Source: GMAT Prep In a class of 30 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per students was 2, what is the maximum number of books any single student could have borrowed? A. 3 B. 5 C. 8 D. 13 E. 15 The OA is D Since the average number of books per student was 2, the total number of books borrowed was 2 x 30 = 60 books. The number of books borrowed by the students who borrowed two or fewer books is 2 x 0 + 12 x 1 + 10 x 2 = 32. These 32 books were borrowed by 2 + 12 + 10 = 24 students. So we have 60 - 32 = 28 books left for the remaining 6 students. Since we want to maximize the number of books borrowed by a single student, we must minimize the number of books borrowed by the other 5 students. We see that if 5 of these students borrowed 3 books each, then we have 28 - 15 = 13 books for the last student. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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