NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 14:42 It is currently 25 Apr 2024, 14:42
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

If P, Q, and R are three distinct points, do line segments PQ and PR

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619015 [9]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
If P, Q, and R are three distinct points, do line segments PQ and PR [#permalink] New post   18 Dec 2014, 07:02
2
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

85% (00:52) correct 15% (01:03) wrong based on 428 sessions
Hide Show timer Statistics
If P, Q, and R are three distinct points, do line segments PQ and PR have the same length ?

(1) P is the midpoint of line segment QR.
(2) Q and R lie on the same circle with center P.
ShowHide Answer
Official Answer
D
avatar
rverma
Intern
Intern
Joined: 29 Sep 2014
Posts: 3
Own Kudos [?]: 2 [1]
Given Kudos: 2
Concentration: Healthcare, Human Resources
GMAT 1: 650 Q43 V39
Send PM
Reviews Badge
Re: If P, Q, and R are three distinct points, do line segments PQ and PR [#permalink] New post   18 Dec 2014, 07:09
1
Kudos
D.
S1- As P is the mid point of QR PQ and PR must be same length.
S2- Q n R lies on the same circle(i.e. is equal distance from center P as both are the radius of the circle).So, PQ=PR.
User avatar
uday1409
Intern
Intern
Joined: 14 Dec 2014
Posts: 46
Own Kudos [?]: 100 [1]
Given Kudos: 14
Location: India
Concentration: Technology, Finance
GPA: 3.87
WE:Programming (Computer Software)
Send PM
Re: If P, Q, and R are three distinct points, do line segments PQ and PR [#permalink] New post   18 Dec 2014, 08:10
1
Kudos
1.no explaination needed i think. Sufficeint

2. All points on a circle lies on equal distance from center. Sufficient

Ans D
User avatar
B
beattheheat
Manager
Manager
Joined: 20 Feb 2013
Posts: 66
Own Kudos [?]: 97 [1]
Given Kudos: 45
Location: India
Schools: IIMA (D) SPJ PGPM"16 (A)
GMAT 1: 690 Q49 V34
WE:Information Technology (Computer Software)
Send PM
Re: If P, Q, and R are three distinct points, do line segments PQ and PR [#permalink] New post   19 Dec 2014, 11:10
1
Kudos
If P, Q, and R are three distinct points, do line segments PQ and PR have the same length ?

(1) P is the midpoint of line segment QR.
(2) Q and R lie on the same circle with center P.

Solution:
Lengths PQ=PR?

Statement 1: P is the midpoint of line segment QR
Thus PQ=PR - Sufficient

Statement 2: Q and R lie on the same circle with center P
PQ = radius of circle
PR = radius of circle
Thus PQ=PR - Sufficient

Each statement alone is sufficient. Answer D
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619015 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: If P, Q, and R are three distinct points, do line segments PQ and PR [#permalink] New post   22 Dec 2014, 07:52
Expert Reply
Bunuel wrote:

Tough and Tricky questions: Geometry.



If P, Q, and R are three distinct points, do line segments PQ and PR have the same length ?

(1) P is the midpoint of line segment QR.
(2) Q and R lie on the same circle with center P.

Kudos for a correct solution.


The correct answer is D.
User avatar
G
rhine29388
Senior Manager
Senior Manager
Joined: 24 Nov 2015
Posts: 408
Own Kudos [?]: 125 [0]
Given Kudos: 231
Location: United States (LA)
Send PM
Reviews Badge
Re: If P, Q, and R are three distinct points, do line segments PQ and PR [#permalink] New post   19 May 2016, 13:23
The question is basically asking us whether length (PQ) = length (PR)

Statement 1 tells us point P is midpoint of line segment QR. points lie in the order Q---P---R or R---P---Q
It means that length (PQ) = length (PR) So sufficient

Statement 2 tells us that Q and R are endpoints of arc represented in a circle with center P.
It means that PQ and PR are radius of the circle. we know that radius of a circle are equal in lengths,so length (PQ) = length (PR)
so sufficient

Correct Answer - D
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32679
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If P, Q, and R are three distinct points, do line segments PQ and PR [#permalink] New post   11 Aug 2023, 20:53
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 Club Bot
gmatclubot
Re: If P, Q, and R are three distinct points, do line segments PQ and PR [#permalink]
11 Aug 2023, 20:53
Moderator:
Bunuel
Math Expert
92915 posts

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