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

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Manager
Joined: 28 May 2018
Posts: 143
Location: India
Schools: ISB '21 (II)
GMAT 1: 640 Q45 V35
GMAT 2: 670 Q45 V37
GMAT 3: 730 Q50 V40
x bags of marbles are to be created, each consisting of y red marbles,  [#permalink]

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16 Oct 2018, 23:31
1
00:00

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

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Manager
Joined: 14 Jun 2018
Posts: 219
Re: x bags of marbles are to be created, each consisting of y red marbles,  [#permalink]

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17 Oct 2018, 01:24
HCF of 84 and 30 = 6
Ans D
Intern
Joined: 27 Apr 2018
Posts: 18
Location: India
Schools: CBS '21, Marshall '21
GMAT 1: 600 Q44 V29
GPA: 3.9
Re: x bags of marbles are to be created, each consisting of y red marbles,  [#permalink]

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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
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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