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Arithmetic:Ratio - What is number of dots ?

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by eccentric » Sun Feb 20, 2011 11:34 am
A diagram has exactly two black dots and one green dot for every two red dots. There are no dots of any other color in the diagram. Which of the following could be the number of dots in the diagram ?

A] 3
B] 18
C] 36
D] 45
E] 52
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by Night reader » Sun Feb 20, 2011 11:41 am
fixed dots --> black, the number is 2
linearly related dots --> 1 green for 2 red

answer-2=3x; x is a MUST integer
A] 3-2=3x /no
B] 18-2=3x /no
C] 36-2=3x /no
D] 45-2=3x /no
E] 52-2=3x /no
sorry
IOM stumped
eccentric wrote:A diagram has exactly two black dots and one green dot for every two red dots. There are no dots of any other color in the diagram. Which of the following could be the number of dots in the diagram ?

A] 3
B] 18
C] 36
D] 45
E] 52
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
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by stormier » Sun Feb 20, 2011 11:44 am
eccentric wrote:A diagram has exactly two black dots and one green dot for every two red dots. There are no dots of any other color in the diagram. Which of the following could be the number of dots in the diagram ?

A] 3
B] 18
C] 36
D] 45
E] 52
The language of the question could have been better. Nevertheless, it says

2 black and 1 green for every 2 red dots

n(2b+ g +2r) = 5n => total # of dots must be divisible by 5

Answer D
Last edited by stormier on Sun Feb 20, 2011 11:50 am, edited 1 time in total.
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by Night reader » Sun Feb 20, 2011 11:50 am
aha, thanks stormier - I thought it says only two black for whole diagram ~wording
suggest: "A diagram, for every two red dots, has exactly two black dots and one green dot ..." ambiguity is involved
stormier wrote:
eccentric wrote:A diagram has exactly two black dots and one green dot for every two red dots. There are no dots of any other color in the diagram. Which of the following could be the number of dots in the diagram ?

A] 3
B] 18
C] 36
D] 45
E] 52
n(2b+ g +2r) = 5n => total # of dots must be divisible by 5

Answer D
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
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