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

It is currently 02 Sep 2015, 00:37
GMAT Club 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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
User avatar
Joined: 17 Jan 2006
Posts: 92
Followers: 1

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

In the figure shown, the measure of angle PRS is how many degrees grea [#permalink] New post 30 May 2006, 16:22
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

67% (01:58) correct 33% (02:25) wrong based on 49 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

Attachments

gmat.doc [39.5 KiB]
Downloaded 127 times

To download please login or register as a user

Kaplan Promo CodeKnewton GMAT Discount CodesManhattan GMAT Discount Codes
VP
VP
avatar
Joined: 21 Sep 2003
Posts: 1065
Location: USA
Followers: 3

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

Re: In the figure shown, the measure of angle PRS is how many degrees grea [#permalink] New post 30 May 2006, 16:40
D?

Let x = angle PRS, y = angle PQS.
Asked x-y = ?

1. Angle QPR = 30
Angle QPR = Angle QPS - Angle RPS
Angle RPS = 90-x
Angle QPS = 90-y

30 = QPR = (90-y) - (90-x) = x-y SUFF.

2. Angle PRQ + Angle PRQ = 150
Which is same as saying angle QPR = 30. (same as condition #1). SUFF too!
_________________

"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

1 KUDOS received
VP
VP
User avatar
Joined: 29 Dec 2005
Posts: 1348
Followers: 7

Kudos [?]: 43 [1] , given: 0

Re: In the figure shown, the measure of angle PRS is how many degrees grea [#permalink] New post 30 May 2006, 18:15
1
This post received
KUDOS
dinesh8 wrote:
see attchment


should be D.
from i, prs = pqr+qpr
prs = pqr+ 30
prs - pqr = 30. so suff...

from ii, pqr+prq = 150, then qpr = 30. also suff..
Manager
Manager
avatar
Joined: 10 May 2006
Posts: 186
Location: USA
Followers: 1

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

Re: In the figure shown, the measure of angle PRS is how many degrees grea [#permalink] New post 31 May 2006, 08:33
Agree with D

PRS = x, PQS = y. What is x-y?

1) QPR = 30

Then looking at the larger triangle PQS, add up all the angles.
180 = 90+ PQS + QPS
90 = y + 30 + RPS
60-y = RPS

Then look at the small triangle PRS
180 = 90+x+60-y
30 = x-y Sufficient

2) PRQ + PQR = 150

Y + PRQ = 150 so PRQ = 150-y.
We know that PRQ + x = 180. Substitute in PRQ

150 -y +x = 180 Therefore x-y = 30. Sufficient
CEO
CEO
User avatar
Joined: 20 Nov 2005
Posts: 2910
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 19

Kudos [?]: 147 [0], given: 0

Re: In the figure shown, the measure of angle PRS is how many degrees grea [#permalink] New post 31 May 2006, 09:19
Must be D.

Let PQR = y
PRS = x
PRQ = a

We have x +a = 180......(Eq 1)

St1 : QPR = 30 that means y+a+30 =180..... (Eq 2)
Solving eq 1 and eq 2 we get x-y = 30 SUFF

St2: y+a = 150.. This statement is same as statement 1, equation 2. So this is also SUFF
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Manager
Manager
avatar
Joined: 11 Oct 2005
Posts: 94
Followers: 1

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

Re: In the figure shown, the measure of angle PRS is how many degrees grea [#permalink] New post 07 Jun 2006, 07:41
I agree with the explanations!!! You guys rock!
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 6171
Followers: 344

Kudos [?]: 70 [0], given: 0

Premium Member
Re: In the figure shown, the measure of angle PRS is how many degrees grea [#permalink] New post 03 Jun 2015, 23:24
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: 29185
Followers: 4736

Kudos [?]: 50062 [0], given: 7527

Re: In the figure shown, the measure of angle PRS is how many degrees grea [#permalink] New post 04 Jun 2015, 02:06
Expert's post
1
This post was
BOOKMARKED
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: 12 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 ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

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

GMAT Club Premium Membership - big benefits and savings

Re: In the figure shown, the measure of angle PRS is how many degrees grea   [#permalink] 04 Jun 2015, 02:06
    Similar topics Author Replies Last post
Similar
Topics:
26 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
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
9 Experts publish their posts in the topic In the figure shown, the measure of angle PRS is how many de tarek99 5 31 Mar 2008, 04:43
7 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
4 Experts publish their posts in the topic In the figure shown, the measure of angle PRS is how many coffeeloverfreak 5 22 Sep 2005, 19:05
Display posts from previous: Sort by

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

  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®.