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# Few marbles are put into 8 pouches such that each pouch contains at le

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Math Expert
Joined: 02 Sep 2009
Posts: 55228
Few marbles are put into 8 pouches such that each pouch contains at le  [#permalink]

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27 Sep 2018, 05:28
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Difficulty:

25% (medium)

Question Stats:

85% (01:00) correct 15% (03:07) wrong based on 16 sessions

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Few marbles are put into 8 pouches such that each pouch contains at least one marble. At the most 4 pouches can contain the same number of marbles, and no two of the remaining pouches can contain an equal number of marbles. What is the least possible number of marbles in the 8 pouches?

(A) 8
(B) 17
(C) 18
(D) 24
(E) 30

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Joined: 19 Oct 2013
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Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: Few marbles are put into 8 pouches such that each pouch contains at le  [#permalink]

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27 Sep 2018, 06:38
At most 4 contain the same number

So 1,1,1,1 now the 4 remaining pouches cannot contain the same so 2,3,4,5 and that would be 18 answer choice C

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Joined: 27 Apr 2011
Posts: 52
Location: India
GMAT Date: 06-13-2017
Re: Few marbles are put into 8 pouches such that each pouch contains at le  [#permalink]

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27 Sep 2018, 07:06
1,1,1,1,2,3,4,5
Total = 18

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Re: Few marbles are put into 8 pouches such that each pouch contains at le   [#permalink] 27 Sep 2018, 07:06
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