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Intern
Joined: 09 Dec 2008
Posts: 29
Location: Vietnam
Schools: Somewhere
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Books [#permalink]  04 Aug 2010, 19:31
00:00

Difficulty:

5% (low)

Question Stats:

100% (01:00) correct 0% (00:00) wrong based on 3 sessions
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 11 books, how many shelves does the bookcase have?

(C) 2008 GMAT Club - m09#13

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Gmatclub manager,
Should the question be "the librarian took out 21 books and rearranged the remaining books so that each shelf contained 8 books and the last shelf contained 11 books"?

Thanks !
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Manager
Joined: 20 Mar 2010
Posts: 84
Followers: 2

Kudos [?]: 44 [0], given: 1

Re: Books [#permalink]  04 Aug 2010, 19:48
dungtd wrote:
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 11 books, how many shelves does the bookcase have?

(C) 2008 GMAT Club - m09#13

* 5
* 6
* 7
* 8
* 9

Gmatclub manager,
Should the question be "the librarian took out 21 books and rearranged the remaining books so that each shelf contained 8 books and the last shelf contained 11 books"?

Thanks !
.

The wording in the question is correct . If the "but one" is omitted like you mentioned, the details contradict with each other. If each shelf contains 8 books,last shelf also must contain 8 books and can't contain 11 books.
The "but one" indicates that each shelf except the last shelf has 8 books and the last shelf has 11 books.
Here is how we can solve the problem.

Let x be the number of shelves.
No of books in the beginning =12*x
After taking out 21 books No of remaining books = 12x -21
when the remaining books are rearranged, each shelf except the last shelf has 8 books and the last shelf has 11 books. So No of remaining books is also equal to 8*(x-1)+11

12x-21=8(x-1)+11
4x=24
x=6. Answer B
_________________

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Intern
Joined: 09 Dec 2008
Posts: 29
Location: Vietnam
Schools: Somewhere
Followers: 0

Kudos [?]: 5 [0], given: 2

Re: Books [#permalink]  04 Aug 2010, 20:41
crack700 wrote:
dungtd wrote:
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 11 books, how many shelves does the bookcase have?

(C) 2008 GMAT Club - m09#13

* 5
* 6
* 7
* 8
* 9

Gmatclub manager,
Should the question be "the librarian took out 21 books and rearranged the remaining books so that each shelf contained 8 books and the last shelf contained 11 books"?

Thanks !
.

The wording in the question is correct . If the "but one" is omitted like you mentioned, the details contradict with each other. If each shelf contains 8 books,last shelf also must contain 8 books and can't contain 11 books.
The "but one" indicates that each shelf except the last shelf has 8 books and the last shelf has 11 books.
Here is how we can solve the problem.

Let x be the number of shelves.
No of books in the beginning =12*x
After taking out 21 books No of remaining books = 12x -21
when the remaining books are rearranged, each shelf except the last shelf has 8 books and the last shelf has 11 books. So No of remaining books is also equal to 8*(x-1)+11

12x-21=8(x-1)+11
4x=24
x=6. Answer B

Thanks for your explanation!
Manager
Joined: 27 Jun 2008
Posts: 85
Location: United States (AL)
Concentration: General Management, Technology
GMAT 1: 660 Q48 V34
WE: Consulting (Computer Software)
Followers: 1

Kudos [?]: 12 [0], given: 22

Re: Books [#permalink]  04 Aug 2010, 22:09
B for me as well,, nice explanation crack700
Re: Books   [#permalink] 04 Aug 2010, 22:09
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