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# Each shelf of a bookcase contained 12 books. If the librarian took out

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Intern
Joined: 09 Dec 2008
Posts: 27

Kudos [?]: 92 [0], given: 2

Location: Vietnam
Schools: Somewhere
Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

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04 Aug 2010, 19:31
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Difficulty:

25% (medium)

Question Stats:

75% (01:52) correct 25% (00:54) wrong based on 28 sessions

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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?

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(C) 2008 GMAT Club - m09#13

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 !
[Reveal] Spoiler: OA

Kudos [?]: 92 [0], given: 2

Manager
Joined: 20 Mar 2010
Posts: 83

Kudos [?]: 110 [1], given: 1

Re: Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

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04 Aug 2010, 19:48
1
KUDOS
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

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* 8
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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 !
.

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
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Please give me kudos if you like my post

Kudos [?]: 110 [1], given: 1

Intern
Joined: 09 Dec 2008
Posts: 27

Kudos [?]: 92 [0], given: 2

Location: Vietnam
Schools: Somewhere
Re: Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

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04 Aug 2010, 20:41
1
This post was
BOOKMARKED
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

Kudos [?]: 92 [0], given: 2

Manager
Joined: 27 Jun 2008
Posts: 76

Kudos [?]: 18 [0], given: 22

Location: United States (AL)
Concentration: General Management, Technology
GMAT 1: 660 Q48 V34
WE: Consulting (Computer Software)
Re: Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

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04 Aug 2010, 22:09
B for me as well,, nice explanation crack700

Kudos [?]: 18 [0], given: 22

Non-Human User
Joined: 09 Sep 2013
Posts: 14842

Kudos [?]: 287 [0], given: 0

Re: Each shelf of a bookcase contained 12 books. If the librarian took out [#permalink]

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18 Feb 2017, 22:32
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Each shelf of a bookcase contained 12 books. If the librarian took out   [#permalink] 18 Feb 2017, 22:32
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