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

It is currently 19 Apr 2014, 07:29

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 the figure shown, the measure of angle PRS is how many

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
Joined: 27 Aug 2005
Posts: 332
Location: Montreal, Canada
Followers: 2

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

GMAT Tests User
In the figure shown, the measure of angle PRS is how many [#permalink] New post 22 Sep 2005, 19:05
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

46% (02:35) correct 53% (01:37) wrong based on 52 sessions
Image
In the figure shown, the measure of angle PRS is how many degrees greater than the measure of angle PQR.

(1) The measure of angle QPR is 30°.
(2) The sum of the measures of angles PQR and PRQ is 150°.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-figure-attached-measure-of-angle-prs-is-how-many-102829.html
[Reveal] Spoiler: OA
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesVeritas Prep GMAT Discount Codes
Senior Manager
Senior Manager
User avatar
Joined: 03 Nov 2004
Posts: 489
Followers: 1

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

GMAT Tests User
 [#permalink] New post 22 Sep 2005, 19:35
answer E. both statements say the same thing , so its either D or E. given the info in either of the statemenst we cannot test the relationship between angles PRS and PQR. therefore answer E.
SVP
SVP
User avatar
Joined: 05 Apr 2005
Posts: 1737
Followers: 3

Kudos [?]: 28 [0], given: 0

GMAT Tests User
Re: DS: Angles in triangles [#permalink] New post 22 Sep 2005, 20:30
D. 30 deg.

from i, Lprs=Lpqr+Lqpr.
so Lprs-Lpqr=Lqor = 30

from ii, if Lpqr+Lprq =150,
Lqpr = 30, because Lprq+Lpqr+Lqpr =180 and 150+Lqpr =180. so again Lqpr =180-150= 30. therefore the angle prs is 30 degree greater than the angle pqr.
2 KUDOS received
Manager
Manager
Joined: 15 Jul 2005
Posts: 106
Followers: 1

Kudos [?]: 3 [2] , given: 0

 [#permalink] New post 22 Sep 2005, 23:22
2
This post received
KUDOS
I too get (D)

note: we dont need to find individual angle values, just the difference between angles PRS and PQR (lets call them x,y respectively), so we need to find x-y

let angle PRQ=z

statement I: angle QPR=30, so y+z=150, also z+x=180, therefore z=150-y, and 150-y+x=180 OR x-y=30. Sufficient.

Statement II: angles y+z=150, and we also know that z+x=180, so x-y=30, Sufficient.
Senior Manager
Senior Manager
User avatar
Joined: 13 May 2013
Posts: 476
Followers: 0

Kudos [?]: 35 [0], given: 134

Re: In the figure shown, the measure of angle PRS is how many [#permalink] New post 09 Dec 2013, 14:04
I've just had a bit of a revelation in solving this problem.

Looking at triangle PRS we have the 90 degree angle at S and the two other angles adding up to 90. Now looking at the 30 degree angle of triangle PRQ. We know that PRS = 180 - PRQ but for the life of me I couldn't figure out why we knew the exact angle difference. Then it dawned on me, PRQ obviously has to add up to 180. Assuming angle PRQ remains constant, for every degree change in in QPR, there has to be an equal and opposite change in PQR. In other words, if QPR got 10 degrees larger, PQR would have to shrink by 10 degrees. If the line PQ were to be flat then obviously the "angle" measurement would be the same but it's 30 degrees "higher" meaning it's degree measure is 30 degrees less. If QPR changes, PQR must change by the same, but opposite amount.

It may not be anything special to the math geniuses here but it is to be :D
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17318
Followers: 2876

Kudos [?]: 18398 [0], given: 2350

GMAT Tests User CAT Tests
Re: In the figure shown, the measure of angle PRS is how many [#permalink] New post 10 Dec 2013, 02:59
Expert's post
In the figure shown, the measure of angle PRS is how many degrees greater than the measure of angle PQR.

Image
Q: <PRS-<PQR=?

(1) The measure of angle QPR is 30°. <QPR=30 --> in triangle QPR three angles sum=180=<QPR+<PQR+<PRQ -->180=30+<PQR+(180-<PRS) --> 30=<PRS-<PQR SUFFICIENT

(2) The sum of the measures of angles PQR and PRQ is 150°. Basically the same information is given <PQR+<PRQ=150 --> <PQR+180-<PRS=150 --> 30=<PRS-<PQR SUFFICIENT

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-figure-attached-measure-of-angle-prs-is-how-many-102829.html
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Re: In the figure shown, the measure of angle PRS is how many   [#permalink] 10 Dec 2013, 02:59
    Similar topics Author Replies Last post
Similar
Topics:
This topic is locked, you cannot edit posts or make further replies. New 1 Experts publish their posts in the topic In the figure shown, the measure of angle PRS is how many de christoph 5 26 Sep 2005, 12:25
New posts In the figure shown, the measure of angle PRS is how many tarek99 2 31 Mar 2008, 04:43
This topic is locked, you cannot edit posts or make further replies. New 2 Experts publish their posts in the topic In the figure shown, the measure of angle PRS is how many de Nienhan 5 02 Dec 2009, 07:28
Popular new posts 13 Experts publish their posts in the topic In the figure attached, measure of angle PRS is how many Sylvan 14 26 Sep 2010, 01:40
New posts 1 In the figure shown, if the measure of angle BAD is 60 degre fozzzy 5 21 May 2013, 01:54
Display posts from previous: Sort by

In the figure shown, the measure of angle PRS is how many

  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®.