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A rectangle is defined to be "silver" if and only if the rat
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Updated on: 28 Nov 2018, 07:14
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Project DS Butler: Day 23: Data Sufficiency (DS46) For DS butler Questions Click HereA rectangle is defined to be "silver" if and only if the ratio of its length to its width is 2 to 1. If rectangle S is silver, is rectangle R silver? (1) R has the same area as S (2) The ratio of one side of R to one side of S is 2 to 1.
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Originally posted by TGC on 17 Oct 2013, 21:31.
Last edited by gmatbusters on 28 Nov 2018, 07:14, edited 2 times in total.
Renamed the topic and edited the question.



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Re: A rectangle is defined to be "silver" if and only if the rat
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17 Oct 2013, 21:38
Since "S" is silver the ratio for its L/B=2/1
(1).
Sides of R can be in any ratio provided the area of R=S
Consider for S : 4:2 For R it can be : 4:2 or 8:1
Hence Insufficient
(2).
Consider this we don't have enough info
Hence Insufficient
Combining them
Consider length of R/S=2/1 and both the areas will have to be same
S: L=2 and B=1 R: L=4 and B=1/2 Hence R is not silver
Consider width of R/S = 2/1 and both the areas will have to be same
S: L=4 and B=2 R: L=2 and B=4 Hence R is not silver
Hence Both combined are sufficient. However , per the source the answer is (E).
Please advise what I am missing here.
Rgds, TGC!



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Re: A rectangle is defined to be "silver" if and only if the rat
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17 Oct 2013, 22:56
TGC wrote: Since "S" is silver the ratio for its L/B=2/1
(1).
Sides of R can be in any ratio provided the area of R=S
Consider for S : 4:2 For R it can be : 4:2 or 8:1
Hence Insufficient
(2).
Consider this we don't have enough info
Hence Insufficient
Combining them
Consider length of R/S=2/1 and both the areas will have to be same
S: L=2 and B=1 R: L=4 and B=1/2 Hence R is not silver
Consider width of R/S = 2/1 and both the areas will have to be same
S: L=4 and B=2 R: L=2 and B=4 Hence R is not silver
Hence Both combined are sufficient. However , per the source the answer is (E).
Please advise what I am missing here.
Rgds, TGC! Consider two cases: S is 4 by 2 and R is 4 by 2. S is 4 by 2 and R is 8 by 1. Answer: E. Hope it helps.
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Re: A rectangle is defined to be "silver" if and only if the rat
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06 Dec 2013, 09:44
Because they are both rectangles, does it matter that we don't know the side which the ratio is applied to from (2)? In other words, is the test trying to trick us by specifying that "if and only if the ratio of its length to its width is 2 to 1" whereas (2) doesn't specify if the ratio is of length to width or width to length?



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Re: A rectangle is defined to be "silver" if and only if the rat
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07 Dec 2013, 05:07



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Re: A rectangle is defined to be "silver" if and only if the rat
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07 Dec 2013, 12:11
Bunuel wrote: WholeLottaLove wrote: Because they are both rectangles, does it matter that we don't know the side which the ratio is applied to from (2)? In other words, is the test trying to trick us by specifying that "if and only if the ratio of its length to its width is 2 to 1" whereas (2) doesn't specify if the ratio is of length to width or width to length? (2) is not sufficient, because it talks about R and S, not only about R: The ratio of one side of R to one side of S is 2 to 1. Does my attached diagram make sense?
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Re: A rectangle is defined to be "silver" if and only if the rat
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16 Sep 2018, 11:12
TGC wrote: A rectangle is defined to be "silver" if and only if the ratio of its length to its width is 2 to 1. If rectangle S is silver, is rectangle R silver?
(1) R has the same area as S (2) The ratio of one side of R to one side of S is 2 to 1.
The correct answer is (E) , as proved in the ALGEBRAICGEOMETRIC BIFURCATION shown in the image attached. This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio.
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Re: A rectangle is defined to be "silver" if and only if the rat
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16 Sep 2018, 16:14
S is 2x by x so that it's a "silver"
(1) Area of R is 2x^2 R can be 2x by x so that it's a "sliver" or 2/3x by 3x so it's not a sliver Insufficient
(2) R can be 4x by 100000x Or 4x by 2x ETC. Insufficient
(1) and (2) R is 4x by 1/2x which is not a sliver Or 2x by x which is a sliver
Answer E



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Re: A rectangle is defined to be "silver" if and only if the rat
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28 Nov 2018, 07:16




Re: A rectangle is defined to be "silver" if and only if the rat
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28 Nov 2018, 07:16






