Find all School-related info fast with the new School-Specific MBA Forum

It is currently 22 Jul 2014, 20:18

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If 3 and 8 are the lengths of two sides of a triangular

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
User avatar
Joined: 08 Jul 2004
Posts: 606
Followers: 2

Kudos [?]: 24 [0], given: 0

GMAT Tests User
If 3 and 8 are the lengths of two sides of a triangular [#permalink] New post 10 Oct 2005, 06:34
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

66% (01:23) correct 34% (00:22) wrong based on 124 sessions
If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?

I. 5
II. 8
III. 11

(A) ΙI only
(B) ΙII only
(C) I and ΙI only
(D) II and ΙII only
(E) I, ΙΙ, and ΙΙI
[Reveal] Spoiler: OA

_________________

Regards, S


Last edited by Bunuel on 31 Jul 2012, 10:26, edited 1 time in total.
Edited the question and added the OA.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18683
Followers: 3232

Kudos [?]: 22210 [1] , given: 2601

Re: If 3 and 8 are the lengths of two sides of a triangular [#permalink] New post 31 Jul 2012, 10:34
1
This post received
KUDOS
Expert's post
shreya717 wrote:
Can't we assume 5<x<11? what if it's an iscoceles triangle, in which case the third side could be equal to either of the two sides?


I don't quite understand what you mean by the red part above. Anyway:

If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?

I. 5
II. 8
III. 11

(A) ΙI only
(B) ΙII only
(C) I and ΙI only
(D) II and ΙII only
(E) I, ΙΙ, and ΙΙI

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

So, (8-3)<x<(8+3) --> 5<x<11. Hence 5 and 11 cannot be the length of the third side, while 8 can be.

Answer: A.

For more check Triangles chapter of Math Book: math-triangles-87197.html

Hope it helps.

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

SVP
SVP
User avatar
Joined: 24 Sep 2005
Posts: 1902
Followers: 10

Kudos [?]: 93 [0], given: 0

GMAT Tests User
Re: PS Sides of a triangle [#permalink] New post 10 Oct 2005, 06:42
saurya_s wrote:
15. If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 5
II. 8
III. 11
(A) ?I only
(B) ?II only
(C) I and ?I only
(D) II and ?II only
(E) I, ??, and ???

Plz explain.
Thanks


the rest side x must satisfy : 8-3<x< 8+3 <==> 5<x<11
B.
Director
Director
avatar
Joined: 09 Jul 2005
Posts: 595
Followers: 2

Kudos [?]: 19 [0], given: 0

GMAT Tests User
 [#permalink] New post 10 Oct 2005, 06:43
Quote:
If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 5
II. 8
III. 11
(A) ?I only
(B) ?II only
(C) I and ?I only
(D) II and ?II only
(E) I, ??, and ???


I and II only. Therefore the correct answer is C
Senior Manager
Senior Manager
avatar
Joined: 11 May 2004
Posts: 460
Location: New York
Followers: 1

Kudos [?]: 8 [0], given: 0

GMAT Tests User
 [#permalink] New post 10 Oct 2005, 06:44
the sum of the two sides must be greater than the third side. 3+8 =11
the difference of the two sides mut be less than the third side. 8-3=5

therefore the third side is between 5 and 11. Only B fulfills this.
Manager
Manager
User avatar
Joined: 03 Oct 2005
Posts: 88
Followers: 1

Kudos [?]: 4 [0], given: 0

 [#permalink] New post 10 Oct 2005, 08:21
Since the new side has to be less than the sum of the other two sides

Choosing 5 -
3, 8 is not possible as 3+5 leads to 8 - so the other side will have to be less than 8 (but we know it is 8). So 5 is not a correct side.

Choosing 8 -
3, 8, 8 is still valid - (isosceles triangle if I still remember how to spell those) as the sum of any two is still bigger than the other side.

So Choice B.
Intern
Intern
avatar
Joined: 01 Aug 2011
Posts: 23
Followers: 0

Kudos [?]: 5 [0], given: 15

Re: If 3 and 8 are the lengths of two sides of a triangular [#permalink] New post 31 Jul 2012, 10:19
Can't we assume 5<x<11? what if it's an iscoceles triangle, in which case the third side could be equal to either of the two sides?
Re: If 3 and 8 are the lengths of two sides of a triangular   [#permalink] 31 Jul 2012, 10:19
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic When the lengths of two opposite sides of a square garden Areto 3 27 Jun 2014, 12:16
6 Experts publish their posts in the topic If each side of ΔACD above has length 3 and if AB has length boomtangboy 3 07 Apr 2012, 19:39
If each side of ACD above has length 3 and if AB has length el1981 3 11 Mar 2008, 18:21
Experts publish their posts in the topic If 3 and 8 are the lengths of two sides of a triangular marcodonzelli 7 15 Dec 2007, 11:29
The difference in length of any two sides of an obtuse kevincan 2 25 Sep 2006, 13:01
Display posts from previous: Sort by

If 3 and 8 are the lengths of two sides of a triangular

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.