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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 ## Shawana made a schedule for reading books during 4 weeks tagged by: swerve ##### This topic has 3 expert replies and 0 member replies ### Top Member ## Shawana made a schedule for reading books during 4 weeks ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished? A. 7 B. 8 C. 9 D. 10 E. 11 The OA is B. Source: Official Guide ### GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 2047 messages Followed by: 238 members Upvotes: 1443 The easiest (though perhaps not the most elegant) way to approach this problem is to chart it out. For each book, divide the number of pages by 50, then round up if there is a remainder. For example, 253/50 = 5 remainder 3 --> round up to 6 days total. Book #:----Days to read:---Total days: 1-------------------6-----------------6 2-------------------3-----------------9 3-------------------3-----------------12 4-------------------4-----------------16 5-------------------4-----------------20 6-------------------1-----------------21 7-------------------5-----------------26 8-------------------2-----------------28 On the 28th day, she has finished exactly 8 books. The answer is B. _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 swerve wrote: Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished? A. 7 B. 8 C. 9 D. 10 E. 11 The OA is B. In the figure above, we consider the numbers presented in red, so that we may "run the reading days without worries"... Hence: (1) 300/50 = exactly 6 days needed till the end of first book (2) 150/50 = exactly 6+3 days needed till the end of second book (3) 150/50 = exactly 6+3+3 = 12 days needed till the end of third book And we found the rule... using vulgar induction we may "re-start our reasoning" to proceed much quicker: Oriented by the minimum value (7) among the alternative choices, we calculate (300+150+150+200+200+50+250)/50 = 6+3+3+4+4+1+5 = 26 days needed till the end of the 7th book (days available, because 26 is not more than 28) To read till the end of the 8th book, 26 + 100/50 = 28 days would be needed, exactly what Sawana had available. ThatÂ´s our answer. The above follows the notations and rationale taught in the GMATH method. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 swerve wrote: Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished? A. 7 B. 8 C. 9 D. 10 E. 11 The OA is B. Source: Official Guide Since 253/50 = 5 R 3, Shawana will finish the first book in 6 days. Since 110/50 = 2 R 10, she will finish the second book in 3 days, and thus she will have taken a total of 9 days to finish the first 2 books. Since 117/50 = 2 R 17, she will finish the third book in 3 days, and thus she will have taken a total of 12 days to finish the first 3 books. Since 170/50 = 3 R 20, she will finish the fourth book in 4 days, and thus she will have taken a total of 16 days to finish the first 4 books. Since 155/50 = 3 R 5, she will finish the fifth book in 4 days and thus she will have taken a total of 20 days to finish the first 5 books. Since 50/50 = 1, She will finish the sixth book in only 1 day, and thus she will have taken a total of 21 days to finish the first 6 books. Since 205/50 = 4 R 5, she will finish the seventh book in 5 days and thus she will have taken a total of 26 days to finish the first 7 books. Since 70/50 = 1 R 20, she will finish the eighth book in 2 days and thus she will have taken a total of 28 days to finish the first 8 books. Answer: B _________________ 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 Practice Test & Review How would you score if you took the GMAT 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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