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DS Question 1 - Jan 08 Susan has a 5-foot long bookshelf that she wants to fill with 22 books of differing sizes. Each book can fit on the shelf, but they cannot all fit on the shelf. In order to fit all of her books on the same shelf, she would need a 5.5-foot long bookshelf. What is the maximum number of books she can fit on her shelf? (1) The 8 thinnest books each have a thickness of 2 inches. (2) The 2 thickest books each have a thickness of 5 inches. Source: Kaplan | Difficulty: Hard
total width of shelf = 5ft = 60in
total books = 22,
we need the maximize number of books that go on the shelf
statement1:
8 thinnest book with 2 in thickness covers 16in
but how many more books can go on remaining length of shelf?
we may never know as we don’t have thickness of rest of the books
so, not a sufficient statement
statement 2:
thickest books have 5in width
there are 2 of them,
all books can go on 5.5ft = 66in of shelf (as given in question stem)
if 1st thickest book is removed, we are left with 61 inch space
if 2nd thickest book is removed, we are left with 56 inch space
therefore, remaining 20 books can go onto 5ft (60in) book shelf.
As, rest assured remaining 20 books have less than 5in thickness
Option B ?