AbeNeedsAnswers 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
B
Let us first list down the conditions.
1. She will read EXACTLY 50 pages per day.
2. She will not start a new book to read on a day she finishes a previous book.
=> Say for example she begins reading a book having 253 pages, from the 1st to the 5th day she will read 50 pages per day and on the 6th day she will read only '3' pages, thus she will not start reading a new book.
Say B stands for Book number, D for number of days, and CD for Cumulative number of days
Since the total available days = 28, CD ≤ 28
Let's count the Cumulative number of days
------------------------------------
B |
D|
CD
1 | 6 | 6
2 | 3 | 9
3 | 3 | 12
4 | 4 | 16
5 | 4 | 20
6 | 1 | 21
7 | 5 | 26
8 | 2 | 28 = Maximum number of days
She can read a total of 8 books.
The correct answer:
B
Hope this helps!
Download free ebook:
Manhattan Review GMAT Quantitative Question Bank Guide
-Jay
_________________
Manhattan Review GMAT Prep
Locations:
New York |
Singapore |
London |
Dubai | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
