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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.
We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
26 Jan 2014, 09:47
Expert's post
SOLUTION
The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.
(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
27 Jan 2014, 06:15
Let l be the length and w be the width. From the question stem, we derive the foll equation: 2l+2w=360
Going to the statements: (1) from this statement, we can deduce that l=2w. by substitution, we can solve the equation for l and w above (statement 1 is sufficient) (2) from this statement, we can deduce the foll equation, l-w=60. by substitution, we can solve the equation in the question stem. (statement 2 is sufficient)
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
01 Feb 2014, 08:37
Expert's post
SOLUTION
The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.
(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
01 Sep 2014, 23:50
Bunuel wrote:
SOLUTION
The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.
(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
Answer: D.
Hi Bunuel,
I have a query.
According to me the answer should be A. given below is my reasoning.
Statement 1 is sufficient there is no doubt in that.
In statement 2, its given that difference between length and width is 60 feet.
Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)
So statement 2 is insufficient , hence my answer A.
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
02 Sep 2014, 02:36
Expert's post
prabhakarsharma wrote:
Bunuel wrote:
SOLUTION
The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.
(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
Answer: D.
Hi Bunuel,
I have a query.
According to me the answer should be A. given below is my reasoning.
Statement 1 is sufficient there is no doubt in that.
In statement 2, its given that difference between length and width is 60 feet.
Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)
So statement 2 is insufficient , hence my answer A.
Please let me know where did i go wrong.
Thanks
The point is that the length of a rectangle is the measure of its longest side. So, the length is never smaller than the width. _________________
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
02 Sep 2014, 03:49
Bunuel wrote:
prabhakarsharma wrote:
Bunuel wrote:
SOLUTION
The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.
(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.
Answer: D.
Hi Bunuel,
I have a query.
According to me the answer should be A. given below is my reasoning.
Statement 1 is sufficient there is no doubt in that.
In statement 2, its given that difference between length and width is 60 feet.
Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)
So statement 2 is insufficient , hence my answer A.
Please let me know where did i go wrong.
Thanks
The point is that the length of a rectangle is the measure of its longest side. So, the length is never smaller than the width.
Thanks B,
but can you please let me know your reference for this assumption.
AFAIK no such property is associated with rectangle. I have also not seen any mention of such property in any of my reference books.
Official Guide to GMAT Quantitative Review 2015 - Data Sufficiency #60 [#permalink]
08 Jun 2015, 13:11
I'm contesting the answer given by the Official Guide to GMAT Quantitative Review 2015, specifically, #60 (pg. 157) in the Data Sufficiency section. For those of you who do not have this book, here is the question:
60. The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.
Easy enough of a question, right?
The book says that both (1) and (2) is sufficient, so the multiple choice answer is D, but I argue that only (1) is sufficient so the answer should be A.
I know exactly how to get the answer for both 1 and 2, but 2 is ambiguous. The difference between the length and width of the garden isn't necessarily saying l - w = 60 feet. If the width of the garden is longer, colloquially speaking, you can still state that the difference between the length and width is 60 feet - you wouldn't say the difference is negative 60 feet. So, you wouldn't actually know if the length is longer than the width.
Is there a GMAT rule where you literally translate the order of a sentence into its math sequence, always?
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
08 Jun 2015, 13:14
Expert's post
iPen wrote:
I'm contesting the answer given by the Official Guide to GMAT Quantitative Review 2015, specifically, #60 (pg. 157) in the Data Sufficiency section. For those of you who do not have this book, here is the question:
60. The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.
Easy enough of a question, right?
The book says that both (1) and (2) is sufficient, so the multiple choice answer is D, but I argue that only (1) is sufficient so the answer should be A.
I know exactly how to get the answer for both 1 and 2, but 2 is ambiguous. The difference between the length and width of the garden isn't necessarily saying l - w = 60 feet. If the width of the garden is longer, colloquially speaking, you can still state that the difference between the length and width is 60 feet - you wouldn't say the difference is negative 60 feet. So, you wouldn't actually know if the length is longer than the width.
Is there a GMAT rule where you literally translate the order of a sentence into its math sequence, always?
The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
08 Jun 2015, 13:24
I can understand the convention of taking the length to be longer than a width for non-square rectangles. However, one example I found on the 'net...
If you were to buy a blind for a window, the length of the blind would correspond to the drop from top to bottom of the window, and the width of the blind would correspond to the distance from side to side. If the window was a short, wide window the width of the blind would be longer than its length!
With that example above, you shouldn't order a blind where it's wider than it is tall, and expect the blind supplier to send you a wide blind without specifying the dimensions further (e.g. using height instead, but the point still remains). The supplier will probably send you a tall, skinny blind to go with your wide, short window.
Conversely, if someone said that the difference between the width and the length is 60 feet, would you assume w - l = 60, or that the absolute value is 60? Anyway, for all intents and purposes, the GMAT seems to accept the definition that length is greater than width for all non-square rectangles, so I'll stick to that.
The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
08 Jun 2015, 14:48
iPen wrote:
I'm contesting the answer given by the Official Guide to GMAT Quantitative Review 2015, specifically, #60 (pg. 157) in the Data Sufficiency section. For those of you who do not have this book, here is the question:
60. The perimeter of a rectangular garden is 360 feet. What is the length of the garden?
(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.
Easy enough of a question, right?
The book says that both (1) and (2) is sufficient, so the multiple choice answer is D, but I argue that only (1) is sufficient so the answer should be A.
I know exactly how to get the answer for both 1 and 2, but 2 is ambiguous. The difference between the length and width of the garden isn't necessarily saying l - w = 60 feet. If the width of the garden is longer, colloquially speaking, you can still state that the difference between the length and width is 60 feet - you wouldn't say the difference is negative 60 feet. So, you wouldn't actually know if the length is longer than the width.
Is there a GMAT rule where you literally translate the order of a sentence into its math sequence, always?
Thanks in advance!
per merriam webster: length: the longer or longest dimension of an object So technically L>W and thus statement 2 is sufficient. Also, note that GMAT is GMAC's playground and so you will have to play by their rules!
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