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x bags of marbles are to be created, each consisting of y red marbles,

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Manager
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Joined: 28 May 2018
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Schools: ISB '21 (II)
GMAT 1: 640 Q45 V35
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x bags of marbles are to be created, each consisting of y red marbles,  [#permalink]

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New post 16 Oct 2018, 23:31
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A
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D
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Difficulty:

  25% (medium)

Question Stats:

73% (01:55) correct 27% (01:49) wrong based on 65 sessions

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x bags of marbles are to be created, each consisting of y red marbles, z blue marbles, and nothing else. If the marbles are to be drawn from a total of 84 red marbles and 30 blue marbles and all marbles must be placed in one of the bags, what is the maximum number of bags that can be created?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Spoiler: OA

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Re: x bags of marbles are to be created, each consisting of y red marbles,  [#permalink]

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New post 17 Oct 2018, 01:24
HCF of 84 and 30 = 6
Ans D
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Re: x bags of marbles are to be created, each consisting of y red marbles,  [#permalink]

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New post 17 Oct 2018, 01:26
PriyankaPalit7 wrote:
x bags of marbles are to be created, each consisting of y red marbles, z blue marbles, and nothing else. If the marbles are to be drawn from a total of 84 red marbles and 30 blue marbles and all marbles must be placed in one of the bags, what is the maximum number of bags that can be created?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7


Greatest common factor of 84 and 30 !!

84= 2^2 x 3 x 7
30= 2 x 3 x 5
GCF(84,30)= 2 x 3 = 6
Therefore, answer is D
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Re: x bags of marbles are to be created, each consisting of y red marbles,   [#permalink] 17 Oct 2018, 01:26
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