Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 20 May 2013, 12:28
Customize  |  Hide

Search
Register
New posts
Unanswered

Is quadrilateral PQRS a parallelogram?

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Senior Manager
Senior Manager
Joined: 31 Oct 2011
Posts: 334
Followers: 1

Kudos [?]: 23 [0], given: 18

GMAT Tests User
Is quadrilateral PQRS a parallelogram? [#permalink] New post 21 Feb 2012, 00:39
00:00

Question Stats:

83% (01:49) correct 16% (01:05) wrong based on 0 sessions
Is quadrilateral PQRS a parallelogram?

(1) PQ is parallel to SR.
(2) QR and PS have the same length.
[Reveal] Spoiler: OA
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11519
Followers: 1795

Kudos [?]: 9547 [0], given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: Is quadrilateral PQRS a parallelogram? [#permalink] New post 21 Feb 2012, 00:51
eybrj2 wrote:
Is quadrilateral PQRS a parallelogram?

(1) PQ is parallel to SR.
(2) QR and PS have the same length.


Best way to tackle this problem is to draw different cases.

Noe, each statement alone is clearly insufficient. When taken together it's certainly possible PQRS to be a parallelogram but it's also possible it to be isosceles trapezoid:
Attachment:
Isosceles trapezoid.PNG
Isosceles trapezoid.PNG [ 3.19 KiB | Viewed 740 times ]
Answer: E.

Hope it's clear.
_________________

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

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. NEW!!!

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. NEW!!!


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

Find out what's new at GMAT Club - latest features and updates

Senior Manager
Senior Manager
User avatar
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 296
Location: India
Concentration: General Management, Entrepreneurship
Schools: Ross '15 (D), Tuck '15 (D), Duke '15 (D), INSEAD Jan '13 (D), ISB '14 (D), Ivey '15, NUS '15 (D), NTU '15 (WL)
Followers: 1

Kudos [?]: 39 [0], given: 16

Reviews Badge
Re: Is quadrilateral PQRS a parallelogram? [#permalink] New post 21 Feb 2012, 02:39
Bunuel wrote:
eybrj2 wrote:
Is quadrilateral PQRS a parallelogram?

(1) PQ is parallel to SR.
(2) QR and PS have the same length.


Best way to tackle this problem is to draw different cases.

Noe, each statement alone is clearly insufficient. When taken together it's certainly possible PQRS to be a parallelogram but it's also possible it to be isosceles trapezoid:
Attachment:
Isosceles trapezoid.PNG
Answer: E.

Hope it's clear.



Hi Bunuel,

What is the naming convention to be followed during the GMAT?

I was focusing on the clock & made my parallelogram look like a rectangle & choose C.

Thanks in advance
_________________

Giving +1 kudos is a better way of saying 'Thank You'.

GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11519
Followers: 1795

Kudos [?]: 9547 [0], given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: Is quadrilateral PQRS a parallelogram? [#permalink] New post 21 Feb 2012, 02:48
boomtangboy wrote:
Bunuel wrote:
eybrj2 wrote:
Is quadrilateral PQRS a parallelogram?

(1) PQ is parallel to SR.
(2) QR and PS have the same length.


Best way to tackle this problem is to draw different cases.

Noe, each statement alone is clearly insufficient. When taken together it's certainly possible PQRS to be a parallelogram but it's also possible it to be isosceles trapezoid:
Attachment:
Isosceles trapezoid.PNG
Answer: E.

Hope it's clear.



Hi Bunuel,

What is the naming convention to be followed during the GMAT?

I was focusing on the clock & made my parallelogram look like a rectangle & choose C.

Thanks in advance


The vertices are given in order. The order of the vertices on the diagram is the same as in the stem PQRS.

Hope it's clear.
_________________

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

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. NEW!!!

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. NEW!!!


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

Find out what's new at GMAT Club - latest features and updates

Manager
Manager
Joined: 23 Oct 2011
Posts: 55
Location: Ukraine
Schools: LBS '14 (M)
GMAT 1: 650 Q44 V35
WE: Corporate Finance (Mutual Funds and Brokerage)
Followers: 2

Kudos [?]: 14 [0], given: 7

Re: Is quadrilateral PQRS a parallelogram? [#permalink] New post 21 Feb 2012, 08:58
Bunuel wrote:
eybrj2 wrote:
Is quadrilateral PQRS a parallelogram?

(1) PQ is parallel to SR.
(2) QR and PS have the same length.


Best way to tackle this problem is to draw different cases.

Noe, each statement alone is clearly insufficient. When taken together it's certainly possible PQRS to be a parallelogram but it's also possible it to be isosceles trapezoid:
Attachment:
Isosceles trapezoid.PNG
Answer: E.

Hope it's clear.


I had the same logic, however this task was in the Manhattan GMAT test I took last week. Their answer was A with the following explanation:
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. The opposite sides of a parallelogram also have equal length.

(1) SUFFICIENT: We know from the question stem that opposite sides PS and QR are parallel, while this statement tells us that they also have equal lengths. The opposite sides PQ and RS must also be parallel and equal in length. This is the definition of a parallelogram, so the answer to the question is “Yes.”

(2) INSUFFICIENT: We know from the question stem that opposite sides PS and QR are parallel, but have no information about their respective lengths. This statement tells us that the opposite sides PQ and RS are equal in length, but we don’t know their respective angles; they might be parallel, or they might not be. According to the information given, PQRS could be a trapezoid with PS not equal to QR. On the other hand, PQRS could be a parallelogram with PS = QR. The answer to the question is uncertain.

The correct answer is A.

This confused me a lot...
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11519
Followers: 1795

Kudos [?]: 9547 [0], given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: Is quadrilateral PQRS a parallelogram? [#permalink] New post 21 Feb 2012, 09:30
JubtaGubar wrote:
Bunuel wrote:
eybrj2 wrote:
Is quadrilateral PQRS a parallelogram?

(1) PQ is parallel to SR.
(2) QR and PS have the same length.


Best way to tackle this problem is to draw different cases.

Noe, each statement alone is clearly insufficient. When taken together it's certainly possible PQRS to be a parallelogram but it's also possible it to be isosceles trapezoid:
Attachment:
Isosceles trapezoid.PNG
Answer: E.

Hope it's clear.


I had the same logic, however this task was in the Manhattan GMAT test I took last week. Their answer was A with the following explanation:
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. The opposite sides of a parallelogram also have equal length.

(1) SUFFICIENT: We know from the question stem that opposite sides PS and QR are parallel, while this statement tells us that they also have equal lengths. The opposite sides PQ and RS must also be parallel and equal in length. This is the definition of a parallelogram, so the answer to the question is “Yes.”

(2) INSUFFICIENT: We know from the question stem that opposite sides PS and QR are parallel, but have no information about their respective lengths. This statement tells us that the opposite sides PQ and RS are equal in length, but we don’t know their respective angles; they might be parallel, or they might not be. According to the information given, PQRS could be a trapezoid with PS not equal to QR. On the other hand, PQRS could be a parallelogram with PS = QR. The answer to the question is uncertain.

The correct answer is A.

This confused me a lot...


Welcome to GMAT Club.

You must be talking about some other problem, since the stem in the original questions doesn't say that opposite sides PS and QR are parallel.
_________________

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

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. NEW!!!

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. NEW!!!


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

Find out what's new at GMAT Club - latest features and updates

Intern
Intern
Joined: 13 Jan 2012
Posts: 42
Followers: 0

Kudos [?]: 5 [0], given: 0

Re: Is quadrilateral PQRS a parallelogram? [#permalink] New post 21 Feb 2012, 22:14
could be a rhombus, a square - which would meet the criteria for being a parallelogram. But, could also be a trapezium with opposite angles equal to 180.
E.
Re: Is quadrilateral PQRS a parallelogram?   [#permalink] 21 Feb 2012, 22:14
    Similar topics Author Replies Last post
Similar
Topics:
 New posts In the figure above, is quadrilateral PQRS a parallelogram? gluon 2 12 Oct 2007, 12:07
New posts EXPERTS_POSTS_IN_THIS_TOPIC Is the quadrilateral PQRS a parallelogram where QS is the mrsmarthi 4 22 Oct 2009, 12:06
New posts 9 EXPERTS_POSTS_IN_THIS_TOPIC In the picture, quadrilateral ABCD is a parallelogram and enigma123 6 07 Feb 2012, 16:32
New posts In the quadrilateral PQRS, side PS is parallel Galiya 3 01 May 2012, 07:43
New posts 3 If the vertices of a quadrilateral PQRS lie on the joylive 2 16 Oct 2012, 08:35
Display posts from previous: Sort by

Is quadrilateral PQRS a parallelogram?

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com