It is currently 19 Mar 2019, 19:17
My Tests

Close

GMAT Club Daily Prep

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.

The width, length, and diagonal of a rectangle could

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1525
Followers: 55

Kudos [?]: 1455 [1] , given: 8

CAT Tests
The width, length, and diagonal of a rectangle could [#permalink] New post 10 Jan 2019, 06:56
1
This post received
KUDOS
Expert's post
00:00

Question Stats:

100% (01:46) correct 0% (00:00) wrong based on 3 sessions
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
[Reveal] Spoiler: OA

_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 598
Followers: 7

Kudos [?]: 538 [0], given: 88

Re: The width, length, and diagonal of a rectangle could [#permalink] New post 10 Jan 2019, 07:08
Width, length and Diagonal of a rectangle should satisfy the Pythagoras theorem with diagonal as the largest side. Only option I satisfies the theorem.

\(2^2 + 3^2 = (\sqrt{13}\))\(^2\)
1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1525
Followers: 55

Kudos [?]: 1455 [1] , given: 8

CAT Tests
Re: The width, length, and diagonal of a rectangle could [#permalink] New post 11 Jan 2019, 09:44
1
This post received
KUDOS
Expert's post
GreenlightTestPrep 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

Answer: A

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

Re: The width, length, and diagonal of a rectangle could   [#permalink] 11 Jan 2019, 09:44
Display posts from previous: Sort by

The width, length, and diagonal of a rectangle could

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.