Last visit was: 07 May 2026, 21:41 It is currently 07 May 2026, 21:41
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
555-605 (Medium)|   Geometry|      
User avatar
guerrero25
User avatar
Joined: 10 Apr 2012
Last visit: 13 Nov 2019
Posts: 244
Own Kudos:
5,210
 [7]
Given Kudos: 325
Location: United States
Concentration: Technology, Other
GPA: 2.44
WE:Project Management (Telecommunications)
Posts: 244
Kudos: 5,210
 [7]
In the below diagram which is not drawn to scale QR=RP=PS 02 Oct 2013, 17:58
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

86% (03:19) correct 14% (02:45) wrong based on 85 sessions

History

Date
Time
Result
Not Attempted Yet
In the below diagram which is not drawn to scale QR = RP = PS. Angle TPS measures 108 degrees. What is the measure of angle PRS?

A. 72
B. 75
C. 80
D. 85
E. 90
ShowHide Answer
Official Answer
A

Attachments

Geo_gmat.png
Geo_gmat.png [ 34.77 KiB | Viewed 7639 times ]

User avatar
vishnuns39620
User avatar
Joined: 01 Dec 2012
Last visit: 30 Mar 2021
Posts: 76
Own Kudos:
140
 [4]
Given Kudos: 68
Status:Admitted to U of M Ross
Location: United States (TX)
Concentration: Strategy, Entrepreneurship
Schools: HBS '19 (D) Stanford '19 (D) Tuck '19 (D) Yale '19 (D) Kellogg '19 (D) Ross '20 (A$) Wharton '20 (D)
GMAT 1: 750 Q50 V42
GPA: 2.9
WE:Consulting (Consulting)
Schools: HBS '19 (D) Stanford '19 (D) Tuck '19 (D) Yale '19 (D) Kellogg '19 (D) Ross '20 (A$) Wharton '20 (D)
GMAT 1: 750 Q50 V42
Posts: 76
Kudos: 140
 [4]
In the below diagram which is not drawn to scale QR=RP=PS 02 Oct 2013, 20:02
4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Answer is Option A, 72 degrees.

guerrero25
In the below diagram which is not drawn to scale QR=RP=PS
Angle TPS measures 108 degrees
What is the measure of angle PRS?


A)72
B)75
c)80
D)85
E)90
Show more
User avatar
Motivator
User avatar
Joined: 30 Apr 2013
Last visit: 06 Apr 2014
Posts: 14
Own Kudos:
28
 [2]
Given Kudos: 21
Location: India
Posts: 14
Kudos: 28
 [2]
In the below diagram which is not drawn to scale QR=RP=PS 02 Oct 2013, 21:02
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Nice solution. Bunuel type :)
User avatar
vishnuns39620
User avatar
Joined: 01 Dec 2012
Last visit: 30 Mar 2021
Posts: 76
Own Kudos:
140
Given Kudos: 68
Status:Admitted to U of M Ross
Location: United States (TX)
Concentration: Strategy, Entrepreneurship
Schools: HBS '19 (D) Stanford '19 (D) Tuck '19 (D) Yale '19 (D) Kellogg '19 (D) Ross '20 (A$) Wharton '20 (D)
GMAT 1: 750 Q50 V42
GPA: 2.9
WE:Consulting (Consulting)
Schools: HBS '19 (D) Stanford '19 (D) Tuck '19 (D) Yale '19 (D) Kellogg '19 (D) Ross '20 (A$) Wharton '20 (D)
GMAT 1: 750 Q50 V42
Posts: 76
Kudos: 140
In the below diagram which is not drawn to scale QR=RP=PS 02 Oct 2013, 21:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Motivator
Nice solution. Bunuel type :)
Show more


Awww thank you for the compliment! But I highly doubt I'll be able to match Bunuel - Bunuel is impeccable! O:) But thanks mate, I do try my little best! :D
avatar
unceldolan
avatar
Joined: 21 Oct 2013
Last visit: 03 Jun 2015
Posts: 151
Own Kudos:
247
 [1]
Given Kudos: 19
Location: Germany
Schools: Owen '17 (A$) Sauder '17 (A$) Schulich '17 (WD) Anderson FEMBA '17 (S) McDonough '17 (A) Desautels '17 (S)
GMAT 1: 660 Q45 V36
GPA: 3.51
Schools: Owen '17 (A$) Sauder '17 (A$) Schulich '17 (WD) Anderson FEMBA '17 (S) McDonough '17 (A) Desautels '17 (S)
GMAT 1: 660 Q45 V36
Posts: 151
Kudos: 247
 [1]
In the below diagram which is not drawn to scale QR=RP=PS 14 Feb 2014, 04:49
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nice solution!

Here is how I did it:

TPS is 108 degrees, which means that SPQ is 180 - 108 = 72 degrees. Hence PRS has to be <= 72 degrees. Then I looked at the answer choices and saw that only A fulfilled this premise. Hence A.
avatar
forevertfc
avatar
Joined: 19 Nov 2012
Last visit: 08 Jul 2015
Posts: 197
Own Kudos:
53
Given Kudos: 44
Concentration: Marketing, Social Entrepreneurship
Schools: Kellogg '17 (WL) Anderson '17 (A$)
GMAT 1: 750 Q47 V47
Schools: Kellogg '17 (WL) Anderson '17 (A$)
GMAT 1: 750 Q47 V47
Posts: 197
Kudos: 53
In the below diagram which is not drawn to scale QR=RP=PS 14 Feb 2014, 08:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Since QR = PR, then angle RQP = angle RPQ = x

Therefore angle QRP = 180 - 2x and angle PRS = 2x.

Now, since RP = SP, angle PRS = angle RSP = 2x. Therefore, angle RPS = 180 - 4x.

Finally RPQ + RPS + TPS = 180.

108 + (180 - 4x) + x = 180
-3x = -108
x = 36

Since angle PRS = 2x, angle PRS = 72. Answer choice A.
User avatar
rohit8865
User avatar
Joined: 05 Mar 2015
Last visit: 07 May 2026
Posts: 815
Own Kudos:
1,009
Given Kudos: 45
Products:
My Reviews
Posts: 815
Kudos: 1,009
In the below diagram which is not drawn to scale QR=RP=PS 18 Jul 2016, 10:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
guerrero25
In the below diagram which is not drawn to scale QR = RP = PS. Angle TPS measures 108 degrees. What is the measure of angle PRS?

A. 72
B. 75
C. 80
D. 85
E. 90
Show more
Attachment:
Untitled.jpg
Untitled.jpg [ 18.43 KiB | Viewed 5562 times ]
there are many approach to this one
consider fig.
b+e+108=180----------->b+e=72-------(A)
c=a+b(ext. angle of triangle)
c=2b(QR=RP)---------b=c/2-------(B)
also e= 180-(c+d)
e=180-2c (PR=PS)---------(C)
putting (B)& (C) in (A)
c/2+180-2c=72
c=PRS=72
Ans A
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,028
Own Kudos:
1,123
Posts: 39,028
Kudos: 1,123
In the below diagram which is not drawn to scale QR=RP=PS 06 May 2021, 11:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
110185 posts
Krunaal
Tuck School Moderator
852 posts