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A certain packing box contains books between 50 to 60. How many books

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A certain packing box contains books between 50 to 60. How many books [#permalink]

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New post 10 Nov 2011, 20:09
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Question Stats:

64% (02:10) correct 36% (00:46) wrong based on 14 sessions

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A certain packing box contains books between 50 to 60. How many books exactly does that box contains?

(1) If the books are counted by three, there will be one book left over.

(2) If the books are counted by six, there will be one book left over.

[Reveal] Spoiler:
A certain box contains between 50 and 60 books. How many books are there in the box?

1)If the books are counted by 3, there will be 1 book left
2)If books are counted by 6, there will be 1 book left

My ans is B

OA : C

I dont understand why do we need both statements when we are getting to a single ans from B


OPEN DISCUSSION OF THIS QUESTION IS HERE: a-certain-packing-box-contains-books-between-50-to-60-how-many-books-193393.html
[Reveal] Spoiler: OA
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Re: A certain packing box contains books between 50 to 60. How many books [#permalink]

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New post 11 Nov 2011, 00:07
I believe there is some issue with the question, probably phrased incorrectly - what is the source of this question?
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Re: A certain packing box contains books between 50 to 60. How many books [#permalink]

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New post 11 Nov 2011, 17:50
I agree, there seems to be some issue with the question. What is the source?

My ans is B. Because only multiples of 6 between 50 and 60- is 54 and 60. But 1 book is left so eliminate 60 and we are left with 54.
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Re: A certain packing box contains books between 50 to 60. How many books [#permalink]

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New post 12 Nov 2011, 05:30
I got this questiion from Dilip Oak's material, a gmat training inst in Pune.
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Re: A certain packing box contains books between 50 to 60. How many books [#permalink]

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New post 12 Nov 2011, 05:40
When taking A -> this gives us 3 options.

Either 51 (+1) or 54(+1) or 57(+1) number of books will be there.

When taking B -> Single option 54 (+1)

So option B.

Guess OA must be wrong.
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Re: A certain packing box contains books between 50 to 60. How many books [#permalink]

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New post 12 Nov 2011, 05:51
i agree... the OA must be wrong... even I got B... but just wanted to confirm with others !!
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Re: A certain packing box contains books between 50 to 60. How many books [#permalink]

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New post 21 Aug 2016, 17:49
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Re: A certain packing box contains books between 50 to 60. How many books [#permalink]

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New post 22 Aug 2016, 01:09
quantman3 wrote:
A certain packing box contains books between 50 to 60. How many books exactly does that box contains?

(1) If the books are counted by three, there will be one book left over.

(2) If the books are counted by six, there will be one book left over.

[Reveal] Spoiler:
A certain box contains between 50 and 60 books. How many books are there in the box?

1)If the books are counted by 3, there will be 1 book left
2)If books are counted by 6, there will be 1 book left

My ans is B

OA : C

I dont understand why do we need both statements when we are getting to a single ans from B


A certain packing box contains books between 50 to 60. How many books exactly does that box contains?

(1) If the books are counted by three, there will be one book left over --> x = 3m + 1, where x is the total number of book (50 < x < 60). x could be 52, 55, or 58. Not sufficient.

(2) If the books are counted by six, there will be one book left over --> x = 6n + 1, where x is the total number of book (50 < x < 60). x could only be 55. Sufficient.

Answer: B.

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-certain-packing-box-contains-books-between-50-to-60-how-many-books-193393.html
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Re: A certain packing box contains books between 50 to 60. How many books   [#permalink] 22 Aug 2016, 01:09
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