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# number properties

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Manager
Joined: 09 May 2009
Posts: 181
number properties  [#permalink]

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16 Dec 2009, 02:21
00:00

Difficulty:

(N/A)

Question Stats:

50% (02:35) correct 50% (00:00) wrong based on 8 sessions

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Jaime earned enough money by selling seashells at 25 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold?

(A) 5
(B) 11
(C) 17
(D) 25
(E) 30

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Intern
Joined: 07 Dec 2009
Posts: 12
Re: number properties  [#permalink]

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16 Dec 2009, 02:33
several books = at least 2

2 books = \$0.55 x 2 = \$1.10
1 seashell = \$0.25
5 seashells = \$1.25
Anything less than 5 seashells will not be enough to buy at least two books.

So my answer is A.
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1327
Re: number properties  [#permalink]

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16 Dec 2009, 05:55
xcusemeplz2009 wrote:
Jaime earned enough money by selling seashells at 25 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold?

(A) 5
(B) 11
(C) 17
(D) 25
(E) 30

If he spent all of the money he earned selling shells, then the amount he earned must not give any remainder when we divide by 55 = 5*11, and must therefore be a multiple of 11. So B is the correct answer; he could have sold 11 shells and bought 5 books.
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Manager
Joined: 22 Jul 2009
Posts: 149
Location: Manchester UK
Re: number properties  [#permalink]

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17 Dec 2009, 03:03
Yes B it should be...
Senior Manager
Joined: 22 Dec 2009
Posts: 308
Re: number properties  [#permalink]

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31 Jan 2010, 11:58
1
xcusemeplz2009 wrote:
Jaime earned enough money by selling seashells at 25 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold?

(A) 5
(B) 11
(C) 17
(D) 25
(E) 30

No of seashells = s
No of Books = b

25s = 55b
5s = 11b
only if s = 11 (least), b would be an integer....
Therefore answer is B
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Manager
Joined: 10 Feb 2010
Posts: 159
Re: number properties  [#permalink]

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12 Feb 2010, 17:41
B 11

let number of sea shells=s and no of books =b

then, s(25)=b(55) => s(5)=b(11)

So, s should be a multiple of 11 and the smallest multiple of 11 is 11 itself.
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Posts: 8849
Re: number properties  [#permalink]

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09 Oct 2017, 09:08
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Re: number properties &nbs [#permalink] 09 Oct 2017, 09:08
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# number properties

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