It is currently 21 Aug 2019, 07:29
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.

GRE Math Challenge #6-If x>0, and two sides of a certain

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
User avatar
Joined: 16 May 2014
Posts: 594
GRE 1: Q165 V161
Followers: 100

Kudos [?]: 520 [0], given: 64

GRE Math Challenge #6-If x>0, and two sides of a certain [#permalink] New post 15 Sep 2014, 13:59
Expert's post
00:00

Question Stats:

0% (00:00) correct 100% (01:05) wrong based on 8 sessions
If x>0, and two sides of a certain triangle have lengths 2x+1 and 3x+4 respectively, which of the following could be the length of the third side of the triangle?

Indicate all possible lengths.

A) \(4x+5\)
B) \(x+2\)
C) \(6x+1\)
D) \(5x+6\)
E) \(2x+17\)

[Reveal] Spoiler: OA
A,C,E
[Reveal] Spoiler: OA

_________________

My GRE Resources
Free GRE resources | GRE Prep Club Quant Tests
If you find this post helpful, please press the kudos button to let me know ! :)

Intern
Intern
Joined: 02 Feb 2019
Posts: 13
Followers: 0

Kudos [?]: 2 [0], given: 3

Re: GRE Math Challenge #6-If x>0, and two sides of a certain [#permalink] New post 12 Feb 2019, 09:45
soumya1989 wrote:
If x>0, and two sides of a certain triangle have lengths 2x+1 and 3x+4 respectively, which of the following could be the length of the third side of the triangle?

Indicate all possible lengths.

A) \(4x+5\)
B) \(x+2\)
C) \(6x+1\)
D) \(5x+6\)
E) \(2x+17\)

[Reveal] Spoiler: OA
A,C,E


Are you sure answer E is ok?
Manager
Manager
Joined: 04 Feb 2019
Posts: 204
Followers: 4

Kudos [?]: 120 [0], given: 0

Re: GRE Math Challenge #6-If x>0, and two sides of a certain [#permalink] New post 21 Feb 2019, 15:06
Expert's post
Malbash212 wrote:
soumya1989 wrote:
If x>0, and two sides of a certain triangle have lengths 2x+1 and 3x+4 respectively, which of the following could be the length of the third side of the triangle?

Indicate all possible lengths.

A) \(4x+5\)
B) \(x+2\)
C) \(6x+1\)
D) \(5x+6\)
E) \(2x+17\)

[Reveal] Spoiler: OA
A,C,E


Are you sure answer E is ok?


Yes. Note that choice E is always bigger than 2x + 1. However, it is not always bigger than 3x + 4. When 2x + 17 and 2x + 1 are combined, though, they equal 4x + 18, which is always bigger than 3x + 4. This means that there are times when 3x + 4 is the hypotenuse, and the sum of both legs is greater than it.

For example, take x = 10. When that is the case, the triangle has side lengths 21, 27, and 34. This is totally fine, as the sum of the two smaller sides is greater than the length of the third side.
Re: GRE Math Challenge #6-If x>0, and two sides of a certain   [#permalink] 21 Feb 2019, 15:06
Display posts from previous: Sort by

GRE Math Challenge #6-If x>0, and two sides of a certain

  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®.