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A jar contains only marbles of three different colors: red, green, and

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Math Expert
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A jar contains only marbles of three different colors: red, green, and  [#permalink]

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New post 19 Nov 2018, 23:51
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

64% (01:52) correct 36% (02:18) wrong based on 72 sessions

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A jar contains only marbles of three different colors: red, green, and yellow. The red and green marbles are in a ratio of 2:5, and the yellow and red marbles are in a ratio of 5:6. Which of the following could be the total number of marbles?

I. 24
II. 52
III. 182

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III

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GMAT 1: 580 Q47 V23
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Re: A jar contains only marbles of three different colors: red, green, and  [#permalink]

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New post 20 Nov 2018, 00:52
1
R:G:Y = 6:15:5

Total marbles are 26x.

52 and 182 can be the only possibilities. As 'x' should be an integer 24 cannot be the total number of marbles.

OPTION: D
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Re: A jar contains only marbles of three different colors: red, green, and  [#permalink]

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New post 06 Dec 2019, 01:33
any other explanation?
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Re: A jar contains only marbles of three different colors: red, green, and  [#permalink]

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New post 06 Dec 2019, 01:44
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1
Pooja132 wrote:
any other explanation?


Explanation:
As we know R/G=2/5 ; Y/R=5/6
From above we know: 6Y=5R=2G=X (Let)

X/2 + X/5 + X/6 = (should be eqaul to Option A,B,C . So that X value should be integer)
26X/30= 24
X Not having Integer Value (not Possible)
26X/30=52
Possible. X is integer.
26X/30=182
Possible, X is integer.

IMO-D

:please Please give kudos, if you find my explanation Good Enough :please
GMAT Club Bot
Re: A jar contains only marbles of three different colors: red, green, and   [#permalink] 06 Dec 2019, 01:44
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