GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Aug 2018, 10:13

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.

Close

Request Expert Reply

Confirm Cancel

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Director
Director
User avatar
Joined: 08 Jul 2004
Posts: 586
If 3 and 8 are the lengths of two sides of a triangular  [#permalink]

Show Tags

New post Updated on: 31 Jul 2012, 11:26
1
7
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

62% (00:25) correct 38% (00:30) wrong based on 838 sessions

HideShow timer Statistics

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

_________________

Regards, S


Originally posted by saurya_s on 10 Oct 2005, 07:34.
Last edited by Bunuel on 31 Jul 2012, 11:26, edited 1 time in total.
Edited the question and added the OA.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47967
Re: If 3 and 8 are the lengths of two sides of a triangular  [#permalink]

Show Tags

New post 31 Jul 2012, 11:34
4
2
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 the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Most Helpful Community Reply
SVP
SVP
User avatar
Joined: 24 Sep 2005
Posts: 1832
Re: PS Sides of a triangle  [#permalink]

Show Tags

New post 10 Oct 2005, 07:42
3
2
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.
General Discussion
Senior Manager
Senior Manager
avatar
Joined: 11 May 2004
Posts: 448
Location: New York
  [#permalink]

Show Tags

New post 10 Oct 2005, 07:44
1
1
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: 84
  [#permalink]

Show Tags

New post 10 Oct 2005, 09:21
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: 20
Re: If 3 and 8 are the lengths of two sides of a triangular  [#permalink]

Show Tags

New post 31 Jul 2012, 11:19
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?
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7746
Premium Member
Re: If 3 and 8 are the lengths of two sides of a triangular  [#permalink]

Show Tags

New post 22 Sep 2017, 22:31
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If 3 and 8 are the lengths of two sides of a triangular &nbs [#permalink] 22 Sep 2017, 22:31
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.