It is currently 24 Nov 2020, 23:34
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.

Equilater trinagle PQR is formed by joining

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13891
GRE 1: Q160 V160
Followers: 313

Kudos [?]: 3676 [1] , given: 12912

CAT Tests
Equilater trinagle PQR is formed by joining [#permalink] New post 16 Mar 2018, 17:07
1
This post received
KUDOS
Expert's post
00:00

Question Stats:

68% (00:44) correct 31% (00:55) wrong based on 147 sessions
Attachment:
#GREpracticequestion Equilateral triangle PQR is formed by joining.jpg
#GREpracticequestion Equilateral triangle PQR is formed by joining.jpg [ 17.91 KiB | Viewed 3831 times ]


Equilateral triangle PQR is formed by joining center P, Q, and R of the circles. Each pair of circles has exactly one point in common.

Quantity A
Quantity B
The perimeter of triangle PQR
The circumference of the circle with center Q


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

Last edited by Carcass on 14 Jan 2019, 14:48, edited 3 times in total.
Edited the OA
1 KUDOS received
Manager
Manager
Joined: 15 Feb 2018
Posts: 53
Followers: 1

Kudos [?]: 25 [1] , given: 33

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 17 Mar 2018, 23:34
1
This post received
KUDOS
Is the answer B?

A: Let r be the radius of each circle. Each side of the equilateral triangle is 2r, so the perimeter is 6r.

B: Circumference of Q = 2 * 3.14 * r > 6r.

So the answer is B.
1 KUDOS received
Intern
Intern
Joined: 05 Jun 2017
Posts: 8
Followers: 0

Kudos [?]: 8 [1] , given: 0

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 24 Apr 2018, 18:40
1
This post received
KUDOS
From given info
Rp + Rq = other two sides of the triangle
So, perimeter will be 3(Rp+Rq)
Now we have to compare
3Rp + 3Rq ? 2 Pi Rq

As we don't know the value of Rp so answer can not be determined.
1 KUDOS received
Intern
Intern
Joined: 14 Apr 2018
Posts: 7
Followers: 0

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

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 12 May 2018, 06:01
1
This post received
KUDOS
Should the answer be B for this question?
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13891
GRE 1: Q160 V160
Followers: 313

Kudos [?]: 3676 [0], given: 12912

CAT Tests
Re: Equilater trinagle PQR is formed by joining [#permalink] New post 12 May 2018, 10:26
Expert's post
Intern
Intern
Joined: 02 Apr 2018
Posts: 9
Followers: 0

Kudos [?]: 1 [0], given: 3

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 13 May 2018, 23:52
Yep the answer is b as the triangle is equilateral
Intern
Intern
Joined: 08 Apr 2018
Posts: 44
Followers: 0

Kudos [?]: 17 [0], given: 15

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 15 May 2018, 22:16
Carcass wrote:
Sorry for the inconvenience. fixed.

regards


This is yet to be fixed as the answer placed is B,D. Which exactly is it?
1 KUDOS received
Manager
Manager
Joined: 02 May 2018
Posts: 58
Followers: 0

Kudos [?]: 32 [1] , given: 22

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 17 May 2018, 00:59
1
This post received
KUDOS
Emike56 wrote:
Carcass wrote:
Sorry for the inconvenience. fixed.

regards


This is yet to be fixed as the answer placed is B,D. Which exactly is it?


The correct answer is B.

Here's another explanation why. Let's pretend that the radius (r) = 5.
Since the triangle is an equilateral triangle, that means each side of the triangle is 10, or 2 * radius of each circle.


Quantity A = Perimeter of Triangle PQR = 30.
Quantity B = Circumference of Circle with Center Q = 2 * pi * 5. = 10 * 3.14 = 31.4.

Quantity B is greater.

The correct answer is B.
Director
Director
Joined: 09 Nov 2018
Posts: 505
Followers: 0

Kudos [?]: 56 [0], given: 1

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 19 Jan 2019, 15:27
Ans B
Intern
Intern
Joined: 30 Jul 2018
Posts: 3
Followers: 0

Kudos [?]: 2 [0], given: 6

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 09 Feb 2019, 07:49
Agree, the answer is B if the circles are identical but there is nowhere mentioned in the question that the circles have the same radius.
IMO answer should've been D.

Thanks
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13891
GRE 1: Q160 V160
Followers: 313

Kudos [?]: 3676 [0], given: 12912

CAT Tests
Re: Equilater trinagle PQR is formed by joining [#permalink] New post 09 Feb 2019, 11:14
Expert's post
The assumption is wrong: the stem says that PQR is an equilateral triangle, which means all sides are equal in length.

So, if one side is 10 (for instance) the other two are 10 as well.

If one side is 10, half of it is 5, which is the radius of all 3 circles. Is the radius is equal, the 3 areas are equal as well.

Hope now is clear.

Regards
_________________

New to the GRE, and GRE CLUB Forum?
GRE: All you do need to know about the GRE Test | GRE Prep Club for the GRE Exam - The Complete FAQ
Search GRE Specific Questions | Download Vault
Posting Rules: QUANTITATIVE | VERBAL
FREE Resources: GRE Prep Club Official LinkTree Page | Free GRE Materials - Where to get it!! (2020)

Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
3rd Party Resource's: All Quant Questions Collection | All Verbal Questions Collection
Books: All GRE Best Books
Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)
How is the GRE Score Calculated -The Definitive Guide (2021)
Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)
Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)
GRE Prep Club on : Facebook | Instagram

Intern
Intern
Joined: 19 Jul 2020
Posts: 2
Followers: 0

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

Re: Equilater trinagle PQR is formed by joining [#permalink] New post 31 Aug 2020, 09:05
How do you know all Circles are equal?

Posted from my mobile device Image
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13891
GRE 1: Q160 V160
Followers: 313

Kudos [?]: 3676 [0], given: 12912

CAT Tests
Re: Equilater trinagle PQR is formed by joining [#permalink] New post 31 Aug 2020, 09:46
Expert's post
Re: Equilater trinagle PQR is formed by joining   [#permalink] 31 Aug 2020, 09:46
Display posts from previous: Sort by

Equilater trinagle PQR is formed by joining

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.