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A number of 50 marbles is to be divided and contain wit

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A number of 50 marbles is to be divided and contain wit [#permalink]

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New post 14 Feb 2011, 14:53
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A number of 50 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
(A) 10
(B) 12
(C) 15
(D) 16
(E) 17
[Reveal] Spoiler: OA
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Re: A number of 50 marbles is to be divided and contain wit [#permalink]

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New post 14 Feb 2011, 15:09
banksy wrote:
A number of 50 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
(A) 10
(B) 12
(C) 15
(D) 16
(E) 17


To maximize # of boxes we should minimize marbles per box: 15*3+1*5=50 --> 15+1=16.

Answer: D.
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Re: A number of 50 marbles is to be divided and contain wit [#permalink]

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New post 14 Feb 2011, 15:30
so if it is written that:"each box is to contain 3, 4, or 5 marbles" so it does not mean that there must be at least 1 box with 3 marbles, at least one box with 4 marbles and at least one box with 5 marbles?who to see it in task?cos I thought that it is important to have all kinds of boxes....
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Re: A number of 50 marbles is to be divided and contain wit [#permalink]

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New post 14 Feb 2011, 15:42
banksy wrote:
so if it is written that:"each box is to contain 3, 4, or 5 marbles" so it does not mean that there must be at least 1 box with 3 marbles, at least one box with 4 marbles and at least one box with 5 marbles?who to see it in task?cos I thought that it is important to have all kinds of boxes....


Don't think that the question means that (though I do find the wording a bit ambiguous which rises the question of the source by the way).
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Re: A number of 50 marbles is to be divided and contain wit [#permalink]

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New post 14 Feb 2011, 16:40
Bunuel wrote:
banksy wrote:
so if it is written that:"each box is to contain 3, 4, or 5 marbles" so it does not mean that there must be at least 1 box with 3 marbles, at least one box with 4 marbles and at least one box with 5 marbles?who to see it in task?cos I thought that it is important to have all kinds of boxes....


Don't think that the question means that (though I do find the wording a bit ambiguous which rises the question of the source by the way).


that was what i thought as well.

I figured there must be one of each type of box.

3*12=36
4*1=4
5*2=10

15 boxes...total 50 marbles filling each type of box.
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Re: A number of 50 marbles is to be divided and contain wit [#permalink]

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New post 11 Feb 2018, 19:42
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Re: A number of 50 marbles is to be divided and contain wit   [#permalink] 11 Feb 2018, 19:42
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