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.
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:
Join our live webinar and learn how to approach Data Sufficiency and Critical Reasoning problems, how to identify the best way to solve each question and what most people do wrong.
Re: The width, length, and diagonal of a rectangle could be represented by
[#permalink]
Show Tags
20 Nov 2015, 00:04
The width, length, and diagonal of a rectangle will be Pythagorean triples . (width)^2 + (length)^2 = (diagonal)^2
1. 2^2 + 3^2 = (13^(1/2))^2 = 13 => 4+9 = 13 Yes. 2. (10^(1/2))^2 + 4^2 = 10 + 16 = 26 which is not equal to 6^2= 36 No. 3. 3^2 + 10^2 = 9 +100 = 109 not equal to 11^2 = 121 No.
Answer A
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful
Re: The width, length, and diagonal of a rectangle could be represented by
[#permalink]
Show Tags
21 Nov 2015, 14:15
1
Bunuel wrote:
The width, length, and diagonal of a rectangle could be represented by which of the following groups of numbers?
I. 2, 3, \(\sqrt{13}\) II. \(\sqrt{10}\), 4, 6 III. 3, 10, 11
A. I only B. I and II only C. I and III only D. II and III only E. I, II, and III
NOTE: The width, length, and diagonal create a RIGHT TRIANGLE, with the diagonal as the hypotenuse. For these to be valid lengths, the Pythagorean Theorem must apply. That is, it MUST be the case that width² + length² = diagonal²
Let's check the 3 sets of values BEGINNING WITH III
III. Does 3² + 10² = 11²? NO. This means that 3, 10, 11 CANNOT represent the width, length, and diagonal of a rectangle. This means we can ELIMINATE C, D and E
II. Does (√10)² + 4² = 6²? NO. This means that √10, 4, 6 CANNOT represent the width, length, and diagonal of a rectangle. This means we can ELIMINATE B
Re: The width, length, and diagonal of a rectangle could be represented by
[#permalink]
Show Tags
22 Nov 2015, 01:41
The width, length, and diagonal of a rectangle could be represented by which of the following groups of numbers?
I. 2, 3, 13‾‾‾√ II. 10‾‾‾√, 4, 6 III. 3, 10, 11
A. I only B. I and II only C. I and III only D. II and III only E. I, II, and III
The Three dimensions of a rectangle in the given order represents the two side and the hypotenuse of a right angle trianlge. Only set that obeys pythogerous theorem is I. So Ans: A
Re: The width, length, and diagonal of a rectangle could be represented by
[#permalink]
Show Tags
17 Dec 2017, 00:24
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
close
83% (01:19) correct 
