Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

I agree that (1) is sufficient, but I don't think (2) is sufficient. (2) can be interpreted as l - w = 60 or w - l = 60. Solving the two equations (one of these two equations and 2w + 2l = 360) will yield different answers for the value of w and l.

I usually assume length is greater than width. But, I guess width can be greater than the length unless stated otherwise. But in GMAT I am pretty sure that statement 1 and 2 can't lead to contradicting answers so l - w = 60 is what needs to be used.

Also the phrase difference between "a" and "b" usually translates into "a" - "b".

Fact : On the GMAT the two statements can never lead to contradicting answers

Length & width are inter changable terms, there is no reason to believe that length is always greater than width. This is why the question seems to have a bit of ambiguity around it. You will not find such ambiguity on real GMAT questions
_________________

I agree that (1) is sufficient, but I don't think (2) is sufficient. (2) can be interpreted as l - w = 60 or w - l = 60. Solving the two equations (one of these two equations and 2w + 2l = 360) will yield different answers for the value of w and l.

I guess my question is does the phrase, "the difference between the length and width of the garden is 60 feet", only mean that l - w = 60 or can it also be interpreted to mean that w - l = 60?

chaoswithin, I think that statements (1) and (2) of a Data Sufficiency question could lead to contradicting answers. I've never read anything that led me to believe otherwise.

My question is the same as chaoswithin's. Could someone please confirm?

Thanks for your input, shrouded1 and chaoswithin. However, this question was in the GMAT Quantitative Review book, which is composed of past GMAT questions.

Thanks for your input, shrouded1 and chaoswithin. However, this question was in the GMAT Quantitative Review book, which is composed of past GMAT questions.

A couple of things - 1. Difference between two numbers means absolute value of negation. Difference is always positive. If difference between a and b is 20, we cannot say which one of them is greater. 2. Length need not be greater than Width. Either side can be called the length.

It is rather unfortunate that the said question appears in an Official GMAT book. Official books have retired questions of GMAT. If it was active at some time, it must have been a long time back. The experimental questions and continual monitoring of statistics on correct/incorrect by user ability level get rid of a problem such as that quickly. The purpose of these questions is to separate candidates based on ability level, and if a problem includes an arbitrary definition then the statistical analysis will throw it out – GMAC watches those stats religiously.

Finally, don't worry about the solution of that question. Difference is always absolute value. In case there are different views on that, GMAC will not test you on it.
_________________

The length is never smaller than the width.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

I usually assume length is greater than width. But, I guess width can be greater than the length unless stated otherwise. But in GMAT I am pretty sure that statement 1 and 2 can't lead to contradicting answers so l - w = 60 is what needs to be used.

Also the phrase difference between "a" and "b" usually translates into "a" - "b".

Can someone else confirm this?

It is wrong to awesome that length is always larger than width. Also for me the wording "the difference between the length and the width" translates to L-W=60. I didn't find the wording to be ambiguous.

I usually assume length is greater than width. But, I guess width can be greater than the length unless stated otherwise. But in GMAT I am pretty sure that statement 1 and 2 can't lead to contradicting answers so l - w = 60 is what needs to be used.

Also the phrase difference between "a" and "b" usually translates into "a" - "b".

Can someone else confirm this?

It is wrong to awesome that length is always larger than width. Also for me the wording "the difference between the length and the width" translates to L-W=60. I didn't find the wording to be ambiguous.

I too got wrong answer on this one because I always use |l - w| to be the difference between length and width. In GMAT, you CANNOT assume anything unless stated. I agree that this question is very badly worded, just like the Q55 in OG Quant Review 2nd edition (machine filled order BY 10:30 - full discussion here on-monday-morning-a-certain-machine-ran-continuously-at-a-57810.html)

Now if you don't see any ambiguity, consider this: this difference between 4 and 6 is 2, and the difference between 6 and 4 is 2 too. So, it's |6 - 4| = |4 - 6| = 2. On the number line, 4 is 2 units away from 6, and 6 is 2 units away from 4.

Therefore this question should be understood that |l - w| = 60. When considering statement 2, I don't (and shouldn't) care about statement 1.

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.

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Let l and w be the length and the width of the rectangular garden, respectively. From the original condition of the question, we have \(2(l+w) = 360\) or \(l + w = 180\). There are 2 variables and 1 equation. Thus D is the answer most likely.

Condition 1) \(l = 2w\) \(l + w = 2w + w = 3w = 180\) or \(w = 60\). Thus \(l = 120\). It is sufficient.

Condition 2) \(l - w = 60\), since the length is the longest side of a rectangle. When we add two equations, \(l + w = 180\) and \(l - w = 60\), we have \(2l = 240\) or \(l = 120\). It is sufficient.

Therefore the answer is D.

For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
_________________