NEW HERE? LEARN MORE
closeclose
It is currently 27 Sep 2023, 18:00
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

Which of the following describes all values of x such that there is a

6 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 89492
CAT Tests Forum Quiz Mode
Which of the following describes all values of x such that there is a [#permalink] New post  22 May 2020, 06:52
1
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

88% (00:34) correct 12% (01:08) wrong based on 101 sessions

Hide Show timer Statistics

Which of the following describes all values of x such that there is a triangle with sides having lengths 3, 4, and x ?

A. 5 < x < 12
B. 4 < x < 7
C. 3 < x < 5
D. 1 < x < 7
E. 1 < x < 4


PS21256
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Reply
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5885
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Reviews Badge
Which of the following describes all values of x such that there is a [#permalink] New post  22 May 2020, 06:56
2
Kudos
1
Bookmarks
Expert Reply
Bunuel wrote:
Which of the following describes all values of x such that there is a triangle with sides having lengths 3, 4, and x ?

A. 5 < x < 12
B. 4 < x < 7
C. 3 < x < 5
D. 1 < x < 7
E. 1 < x < 4


PS21256


Property: FOr a triangle to exist, Sum if any two sides must be GREATER than third side


i.e. FOr \(x_{min}\), 3+x > 4
i.e. \(x_{min} > 1\)

i.e. FOr \(x_{max}\), 3+4 > x
i.e. \(x_{max} < 7\)

i.e. 1 < x < 7



Answer: Option D
General Discussion
User avatar
G
Codebug4it
Manager
Manager
Joined: 01 Nov 2017
Posts: 106
Location: India
Concentration: Finance, Leadership
Schools: ISB '21
GMAT 1: 690 Q49 V36
GPA: 4
WE:Web Development (Consulting)
GMAT ToolKit User
Which of the following describes all values of x such that there is a [#permalink] New post  22 May 2020, 11:05
Any side of a triangle is always between the (absolute sum and the absolute difference of the other two sides), exclusive.

|4 - 3| < x < |4 + 3|

So, 1 < x <7, Option D
User avatar
G
NitishJain
IESE School Moderator
Joined: 11 Feb 2019
Posts: 277
Re: Which of the following describes all values of x such that there is a [#permalink] New post  24 May 2020, 01:20
1
Kudos
D.

Difference of two sides< third side < Sum of two sides
(4-3)<x< (4+3)
1<x<7
_________________

Cheers,
NJ
Signature Read More
User avatar
S
naveenban
Manager
Manager
Joined: 10 Oct 2017
Posts: 69
Re: Which of the following describes all values of x such that there is a [#permalink] New post  25 May 2020, 08:09
Option D.

As per the property of Triangle, 4 - 3 < X < 4+3
1<X<7
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3736
Re: Which of the following describes all values of x such that there is a [#permalink] New post  30 May 2020, 22:49
Expert Reply

Solution



To find
We need to determine
    • Which of the given Options describes all values of x, if there is a triangle with sides having lengths 3, 4, and x

Approach and Working out
    • x must be < 3 + 4 and
    • x must be greater than 4 – 3

Thus 1 < x < 7

Therefore, Option D is the correct answer.

Correct Answer: Option D
_________________
Free Trial: Get 25 AI powered videos | 400 practice questions | 8 free webinars

Case studies: How a personalized study plan can save you 60+ hours

MBA admits: M7 admits | INSEAD admits | ISB admits [40+ case studies]


Learn why e-GMAT has 10X more 700+ verified scores than other GMATClub partners – Read our 2000+ reviews
Signature Read More
GMAT Club Bot
gmatclubot
Re: Which of the following describes all values of x such that there is a [#permalink]
30 May 2020, 22:49
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
89492 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3136 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions