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

It is currently 27 Aug 2016, 15:22
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 xy-plane above, is angle QPR a right angle?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34457
Followers: 6279

Kudos [?]: 79667 [1] , given: 10022

In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 06 Aug 2012, 03:05
1
This post received
KUDOS
Expert's post
9
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:29) correct 10% (00:42) wrong based on 896 sessions

HideShow timer Statistics

The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Attachment:
PQR.png
PQR.png [ 6.44 KiB | Viewed 11728 times ]
In the xy-plane above, is angle QPR a right angle?

(1) Points P and Q have the same x-coordinate.
(2) Points P and R have the same y-coordinate.

Practice Questions
Question: 11
Page: 275
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | 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?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34457
Followers: 6279

Kudos [?]: 79667 [1] , given: 10022

Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 06 Aug 2012, 03:06
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
SOLUTION

Image

In the xy-plane above, is angle QPR a right angle?

(1) Points P and Q have the same x-coordinate. Since P and Q have the same x-coordinate, then line segment PQ is vertical. Not sufficient. (Line segment PR can be at any angle to line segment PQ).

(2) Points P and R have the same y-coordinate. Since P and R have the same y-coordinate, then line segment PR is horizontal. Not sufficient.

(1)+(2) PQ is vertical and PR is horizontal. Therefore angle QPR must be a right angle. Sufficient.

Answer: C.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | 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?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11099
Followers: 511

Kudos [?]: 134 [1] , given: 0

Premium Member
Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 20 May 2014, 11:09
1
This post received
KUDOS
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

Manager
Manager
avatar
Status: Trying.... & desperate for success.
Joined: 17 May 2012
Posts: 78
Location: India
Concentration: Leadership, Entrepreneurship
Schools: NUS '15
GMAT 1: Q33 V27
GPA: 2.92
WE: Analyst (Computer Software)
Followers: 0

Kudos [?]: 65 [0], given: 61

Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 06 Aug 2012, 07:53
Choice C. Given same axis i could visualize it as a right angled one.
Senior Manager
Senior Manager
avatar
Joined: 15 Jun 2010
Posts: 368
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 10

Kudos [?]: 337 [0], given: 50

Reviews Badge
Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 06 Aug 2012, 08:39
St 1: insufficient: PQ is parallel to Y axis
St 2: insufficient: PR is parallel to X axis

1 + 2 : Sufficient PQ perpendicular to PR
IMO C
_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34457
Followers: 6279

Kudos [?]: 79667 [0], given: 10022

Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 10 Aug 2012, 04:24
SOLUTION

Image

In the xy-plane above, is angle QPR a right angle?

(1) Points P and Q have the same x-coordinate. Since P and Q have the same x-coordinate, then line segment PQ is vertical. Not sufficient. (Line segment PR can be at any angle to line segment PQ).

(2) Points P and R have the same y-coordinate. Since P and R have the same y-coordinate, then line segment PR is horizontal. Not sufficient.

(1)+(2) PQ is vertical and PR is horizontal. Therefore angle QPR must be a right angle. Sufficient.

Answer: C.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | 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?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11099
Followers: 511

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

Premium Member
Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 20 Jun 2015, 15:01
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

Intern
Intern
avatar
Joined: 10 Sep 2015
Posts: 18
Followers: 0

Kudos [?]: 0 [0], given: 19

Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 11 Sep 2015, 00:50
Statement 1 tells us that PQ is vertical line ll to Y axix
Statement 2 tells us that PR is horizontal line ll to X axis
X axis is perpendicular to Y axis

1+2 gives the ans
hence C
Manager
Manager
User avatar
Joined: 17 Jun 2015
Posts: 200
Followers: 2

Kudos [?]: 23 [0], given: 154

Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 19 Sep 2015, 01:29
A. Insufficient. Since, we do not know whether the line is parallel to x axis
B. Insufficient. Since, we do not know whether the line is parallel to y axis.

Together the two statements give the answer. C.
_________________

Fais de ta vie un rêve et d'un rêve une réalité

Senior Manager
Senior Manager
User avatar
Joined: 11 Nov 2014
Posts: 298
Location: India
Concentration: Finance, International Business
WE: Project Management (Telecommunications)
Followers: 2

Kudos [?]: 9 [0], given: 11

GMAT ToolKit User Premium Member CAT Tests
Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 08 May 2016, 07:01
Why C?
I understand PQ = horizontal same x coordinate
but PR can be 2,3 & 3,3 no & PQ can still be Q = 8,3 & P = 2,3
Manager
Manager
User avatar
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 199
Followers: 8

Kudos [?]: 38 [0], given: 2

Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 14 May 2016, 06:51
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Attachment:
PQR.png
In the xy-plane above, is angle QPR a right angle?

(1) Points P and Q have the same x-coordinate.
(2) Points P and R have the same y-coordinate.


Solution:

We are given a triangle in the coordinate plane, and we must determine whether angle QPR is a right angle. Remember that a right angle measures 90 degrees.

Statement One Alone:

Points P and Q have the same x-coordinate.

Statement one alone is not enough to determine whether angle QPR is a right angle. We can draw some diagrams to illustrate:

Image

We see in the diagram above that points P and Q have the same x-coordinate; however, angle QPR is not a right angle.

Image

We see in the diagram above that points P and Q have the same x-coordinate, and angle QPR is a right angle.

Statement one is insufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

Points P and R have the same y-coordinate.

Again, let's draw some diagrams to illustrate:

Image

We see in the diagram above that points P and R have the same y-coordinate; however, angle QPR is not a right angle.

Image

We see in the diagram above that points P and R have the same y-coordinate, and angle QPR is a right angle.

Statement two is insufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

From statements one and two together we know that points P and R have the same y-coordinate and points P and Q have the same x-coordinate. Thus, PR must be parallel to the x axis and QP must be parallel to the y axis and angle QPR must be a right angle.

Image

The answer is C.
_________________

Image
Jeffrey Miller
Jeffrey Miller
Head of GMAT Instruction

Manager
Manager
User avatar
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 238
Location: United States (CA)
Followers: 5

Kudos [?]: 36 [0], given: 0

Re: In the xy-plane above, is angle QPR a right angle? [#permalink]

Show Tags

New post 22 Jul 2016, 12:22
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Attachment:
PQR.png
In the xy-plane above, is angle QPR a right angle?

(1) Points P and Q have the same x-coordinate.
(2) Points P and R have the same y-coordinate.]


We are given a triangle in the coordinate plane, and we must determine whether angle QPR is a right angle. Remember that a right angle measures 90 degrees.

Statement One Alone:

Points P and Q have the same x-coordinate.

Statement one alone is not enough to determine whether angle QPR is a right angle. We can draw some diagrams to illustrate:

Image

We see in the diagram above that points P and Q have the same x-coordinate; however, angle QPR is not a right angle.

Image

We see in the diagram above that points P and Q have the same x-coordinate, and angle QPR is a right angle.

Statement one is insufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:


Points P and R have the same y-coordinate.

Again, let's draw some diagrams to illustrate:

Image

We see in the diagram above that points P and R have the same y-coordinate; however, angle QPR is not a right angle.

Image

We see in the diagram above that points P and R have the same y-coordinate, and angle QPR is a right angle.

Statement two is insufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:


From statements one and two together we know that points P and R have the same y-coordinate and points P and Q have the same x-coordinate. Thus, PR must be parallel to the x axis and QP must be parallel to the y axis and angle QPR must be a right angle.

Image

The answer is C.
_________________

Image
Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Re: In the xy-plane above, is angle QPR a right angle?   [#permalink] 22 Jul 2016, 12:22
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic In the figure above, all angles are right angles. If the lengths a, b Bunuel 3 01 Apr 2016, 03:35
7 Experts publish their posts in the topic In the figure, angle C and angle M are right angles, and KL = 10. If dflorez 3 28 Dec 2015, 13:54
5 Experts publish their posts in the topic Is the triangle ABC, right angled at B? Smita04 5 09 Feb 2012, 18:40
25 Experts publish their posts in the topic If angle BAD is a right angle, what is the length of side chiragatara 24 30 Nov 2010, 11:09
1 Experts publish their posts in the topic If angle BAD is a right angle, what is the length of side gottabwise 5 23 Jan 2010, 16:43
Display posts from previous: Sort by

In the xy-plane above, is angle QPR a right angle?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| 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®.