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

It is currently 22 Nov 2014, 13:34

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

In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
avatar
Joined: 30 May 2010
Posts: 191
Followers: 3

Kudos [?]: 52 [1] , given: 32

In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 16 Aug 2010, 21:37
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (02:03) correct 38% (01:14) wrong based on 29 sessions
Attachment:
problem.jpg
problem.jpg [ 36.98 KiB | Viewed 2378 times ]
In pentagon PQRST, PQ=3, QR=2, RS=4, and ST=5. Which of the lengths 5, 10, and 15 could be the value of PT?

(A) 5 only
(B) 15 only
(C) 5 and 10 only
(D) 10 and 15 only
(E) 5, 10, and 15

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-pentagon-pqrst-pq-3-qr-2-rs-4-and-st-5-which-168634.html
[Reveal] Spoiler: OA

Last edited by jpr200012 on 17 Aug 2010, 07:01, edited 1 time in total.
Kaplan Promo CodeKnewton GMAT Discount CodesGMAT Pill GMAT Discount Codes
Director
Director
avatar
Status: Apply - Last Chance
Affiliations: IIT, Purdue, PhD, TauBetaPi
Joined: 17 Jul 2010
Posts: 693
Schools: Wharton, Sloan, Chicago, Haas
WE 1: 8 years in Oil&Gas
Followers: 14

Kudos [?]: 78 [0], given: 15

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 16 Aug 2010, 21:49
I guess if you added all the given lengths you get 15, so if the figure has to loop back to P then 15 is not possible, 5 and 10 are
_________________

Consider kudos, they are good for health

Manager
Manager
avatar
Joined: 30 May 2010
Posts: 191
Followers: 3

Kudos [?]: 52 [0], given: 32

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 17 Aug 2010, 00:01
mainhoon wrote:
I guess if you added all the given lengths you get 15, so if the figure has to loop back to P then 15 is not possible, 5 and 10 are


It only adds to 14. :) You must use triangles.
Director
Director
avatar
Status: Apply - Last Chance
Affiliations: IIT, Purdue, PhD, TauBetaPi
Joined: 17 Jul 2010
Posts: 693
Schools: Wharton, Sloan, Chicago, Haas
WE 1: 8 years in Oil&Gas
Followers: 14

Kudos [?]: 78 [0], given: 15

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 17 Aug 2010, 00:27
I guess you are referring to the fact that sum of two sides > third side? What is QR 2nd DS150? I have the green book for quant review, there is no 150 in DS there...
_________________

Consider kudos, they are good for health

Manager
Manager
avatar
Joined: 30 May 2010
Posts: 191
Followers: 3

Kudos [?]: 52 [0], given: 32

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 17 Aug 2010, 07:02
mainhoon wrote:
I guess you are referring to the fact that sum of two sides > third side? What is QR 2nd DS150? I have the green book for quant review, there is no 150 in DS there...


Sorry, it is PS 150.

Bunnel, can you move this topic?
Manager
Manager
User avatar
Joined: 28 Feb 2010
Posts: 176
WE 1: 3 (Mining Operations)
Followers: 4

Kudos [?]: 21 [0], given: 33

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 17 Aug 2010, 07:13
I suppose the Logic given by @mainhoo is perfect. Even if it adds to 14, then even 15 is not possible.
Lets take it this way..If all points are assumed to be in straight line, then only PT can attain its maximum length. So its clear that PT=15 is not possible. Rest all values can be obtained at different configuration. :)
_________________

Regards,
Invincible...:)
"The way to succeed is to double your error rate."
"Most people who succeed in the face of seemingly impossible conditions are people who simply don't know how to quit."

10 KUDOS received
Manager
Manager
avatar
Joined: 20 Jul 2010
Posts: 79
Followers: 5

Kudos [?]: 54 [10] , given: 32

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 17 Aug 2010, 08:31
10
This post received
KUDOS
Here is my version ...

Step1:
Given: PQ = 3, QR = 2
So, Using Traingles Sides theorm, PR can be: > (3-2) & < (3+2). i.e, PR can be >1 && <5.
So, possible values for PR are: 2, 3, 4

Step2:
Given: RS = 4, ST = 5,
So, RT can be >1 && < 9
So, possible values for RT are: 2, 3, 4, 5, 6, 7, 8

Step3: PRT forms a traingle
From Step1: PR can be: 2, 3, 4
From Step2: RT can be: 2, 3, 4, 5, 6, 7, 8
So, PT can take values till less than 12.

Answer: 5 & 10 are possible but 15 is not possible. The maximum side has < 12 (i.e, 8 + 4)

Cheers!
Ravi



---------------------
If you like my post, Consider giving me some KUDOS. Need them badly!!!!!!!!!!!
Intern
Intern
avatar
Joined: 11 Aug 2010
Posts: 1
Followers: 0

Kudos [?]: 1 [0], given: 5

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 17 Aug 2010, 10:03
Kudos to all. Nice post in Geometry
Manager
Manager
avatar
Joined: 27 May 2010
Posts: 102
Followers: 2

Kudos [?]: 6 [0], given: 13

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 17 Aug 2010, 10:21
Good question. thanks nravi4 for the explanation.
Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1726
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 69

Kudos [?]: 358 [0], given: 109

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 19 Aug 2010, 12:24
You rule Ravi!

I have a question, how did you know that you had to use triangles?
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

Take a Survey about GMAT Prep - Win Prizes!

Manager
Manager
avatar
Joined: 20 Jul 2010
Posts: 79
Followers: 5

Kudos [?]: 54 [0], given: 32

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 19 Aug 2010, 23:48
Practice ...Practice ...Practice...!!!!
_________________

If you like my most PLEASE consider giving me KUDOS!!!! Need them Badly!!!

Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1726
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 69

Kudos [?]: 358 [0], given: 109

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 20 Aug 2010, 09:42
nravi4 wrote:
Practice ...Practice ...Practice...!!!!


You're right. It's the only way!
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

Take a Survey about GMAT Prep - Win Prizes!

Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1726
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 69

Kudos [?]: 358 [0], given: 109

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 20 Aug 2010, 19:51
Is there an alternative way to solve this question?
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

Take a Survey about GMAT Prep - Win Prizes!

Intern
Intern
avatar
Joined: 14 May 2010
Posts: 33
Schools: CBS
Followers: 0

Kudos [?]: 6 [0], given: 1

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 21 Aug 2010, 01:50
put the 4 segment for which you know the length in a straight line...that's the limit configuration and it gives you the maximum length of the 5th segment is <14.

Something like this:

P---Q--R----S-----T

Then you will see that by bending the segments of the line all values <14 are possible for the 5th side. ;)
1 KUDOS received
Manager
Manager
avatar
Joined: 20 Apr 2010
Posts: 238
Location: Hyderabad
WE 1: 4.6 years Exp IT prof
Followers: 8

Kudos [?]: 49 [1] , given: 38

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 21 Aug 2010, 12:44
1
This post received
KUDOS
Answer is C i.e. 5 and 10 because the sum of all the other sides is 14 and one side can never be greater than sum of other sides
_________________

I will give a Fight till the End

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."
- Bernard Edmonds

A person who is afraid of Failure can never succeed -- Amneet Padda

Don't Forget to give the KUDOS

Current Student
avatar
Joined: 31 Mar 2010
Posts: 167
Schools: Tuck Class of 2013
Followers: 2

Kudos [?]: 18 [0], given: 4

GMAT ToolKit User
Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 27 Aug 2010, 07:28
The length of any side of a closed polygon must be shorter than the sum of all the other sides:

Image
CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 3216
Followers: 224

Kudos [?]: 44 [0], given: 0

Premium Member
Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 16 Jul 2014, 01:33
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

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 24007
Followers: 3726

Kudos [?]: 31036 [0], given: 3268

Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an [#permalink] New post 16 Jul 2014, 01:40
Expert's post
Re: In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an   [#permalink] 16 Jul 2014, 01:40
    Similar topics Author Replies Last post
Similar
Topics:
15 Experts publish their posts in the topic In pentagon PQRST, PQ= 3, QR = 2, RS = 4, and ST = 5. Which Bunuel 8 11 Mar 2014, 02:17
21 Experts publish their posts in the topic In pentagon PQRST, PQ=3, QR=2, RS=4,and ST=5. Which of the abhi47 18 01 Feb 2012, 18:23
12 Experts publish their posts in the topic In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an jpr200012 17 16 Aug 2010, 21:37
pentagon exterior angles blover 2 08 Nov 2008, 01:36
Pentagon Sides Priti 4 12 Aug 2005, 03:11
Display posts from previous: Sort by

In pentagon PQRST, [m]PQ=3[/m], [m]QR=2[/m], [m]RS=4[/m], an

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.