It is currently 18 Jan 2018, 21:57

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

M25-14

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [0], given: 12790

M25-14 [#permalink]

Show Tags

New post 16 Sep 2014, 00:23
Expert's post
14
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

42% (01:03) correct 58% (01:08) wrong based on 153 sessions

HideShow timer Statistics

Kudos [?]: 139451 [0], given: 12790

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [1], given: 12790

Re M25-14 [#permalink]

Show Tags

New post 16 Sep 2014, 00:23
1
This post received
KUDOS
Expert's post
Official Solution:


Based on geometry, \(ABCD\) can be a rhombus (\(AB = BC = CD = DA\)) but it can also be a kite-shaped figure whose diagonals form a cross (S1 holds). S2 holds because of the symmetry of the kite (\(AB = BC\) and \(CD = AD\)).


Answer: E
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Kudos [?]: 139451 [1], given: 12790

Intern
Intern
avatar
Joined: 09 Mar 2014
Posts: 5

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

Concentration: Leadership, Marketing
GPA: 3.01
WE: General Management (Energy and Utilities)
GMAT ToolKit User
Re: M25-14 [#permalink]

Show Tags

New post 06 Dec 2014, 02:03
but if both the diagonals are perpendicular to each other (Option-1) , then it could be RHOMBUS only. then its all the sides are equal.
Which other quadilateral have perpendicular diagonals? Square ! that means it could be square also and square also has all sides equal.

please clarify.

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

Expert Post
4 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [4], given: 12790

Re: M25-14 [#permalink]

Show Tags

New post 06 Dec 2014, 05:13
4
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
manojpandey80 wrote:
but if both the diagonals are perpendicular to each other (Option-1) , then it could be RHOMBUS only. then its all the sides are equal.
Which other quadilateral have perpendicular diagonals? Square ! that means it could be square also and square also has all sides equal.

please clarify.


Both kite and rhombus have the diagonals perpendicular to each other and the sum of the opposite sides equal to each other. So, ABCD can be a kite or a rhombus. Look at the diagram below:

Image

Alternative solution:
If ABCD is a quadrilateral, is AB=BC=CD=DA ?

(1) AC is perpendicular to BD. The diagonals are perpendicular to each other: ABCD could be a kite (answer NO), a rhombus (answer YES) or a square, which is just a special type of rhombus (answer YES). Not sufficient.

(2) AB+CD=BC+DA. The sum of opposite sides are equal. Clearly insufficient.

(1)+(2) ABCD could be a kite (see the diagram below) - answer NO or a square/rhombus - answer YES. Not sufficient.

Answer: E.

Image
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Kudos [?]: 139451 [4], given: 12790

Intern
Intern
avatar
Joined: 16 Jul 2015
Posts: 1

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

Re M25-14 [#permalink]

Show Tags

New post 30 Aug 2015, 00:59
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. In a rhombus all four sides are equal.

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [0], given: 12790

Re: M25-14 [#permalink]

Show Tags

New post 30 Aug 2015, 07:35

Kudos [?]: 139451 [0], given: 12790

Intern
Intern
avatar
Joined: 13 Sep 2015
Posts: 19

Kudos [?]: 10 [0], given: 239

Re: M25-14 [#permalink]

Show Tags

New post 20 Sep 2015, 10:19
I think bunuel explanation is more than sufficient. Thanks. The diagrams helped. I had trouble imagining the object, but then again I suck at geometry.

Kudos [?]: 10 [0], given: 239

Senior Manager
Senior Manager
User avatar
Joined: 31 Mar 2016
Posts: 406

Kudos [?]: 86 [0], given: 197

Location: India
Concentration: Operations, Finance
GMAT 1: 670 Q48 V34
GPA: 3.8
WE: Operations (Commercial Banking)
GMAT ToolKit User Premium Member
Re M25-14 [#permalink]

Show Tags

New post 26 Jul 2016, 10:10
I think this is a high-quality question and I agree with explanation.

Kudos [?]: 86 [0], given: 197

Manager
Manager
avatar
B
Joined: 14 Nov 2015
Posts: 54

Kudos [?]: 5 [0], given: 122

Location: India
GPA: 3.7
GMAT ToolKit User Premium Member
Re: M25-14 [#permalink]

Show Tags

New post 16 Dec 2017, 07:01
manojpandey80 wrote:
but if both the diagonals are perpendicular to each other (Option-1) , then it could be RHOMBUS only. then its all the sides are equal.
Which other quadilateral have perpendicular diagonals? Square ! that means it could be square also and square also has all sides equal.

please clarify.



Diagonals are perpendicular in parallelogram, rectangle, square and rhombus.

Kudos [?]: 5 [0], given: 122

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [0], given: 12790

Re: M25-14 [#permalink]

Show Tags

New post 16 Dec 2017, 08:18
Ashokshiva wrote:
manojpandey80 wrote:
but if both the diagonals are perpendicular to each other (Option-1) , then it could be RHOMBUS only. then its all the sides are equal.
Which other quadilateral have perpendicular diagonals? Square ! that means it could be square also and square also has all sides equal.

please clarify.



Diagonals are perpendicular in parallelogram, rectangle, square and rhombus.


The diagonal in parallelogram and rectangle are NOT perpendicular to each other.

For more practice Properties of Polygons Questions.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Kudos [?]: 139451 [0], given: 12790

Manager
Manager
avatar
B
Joined: 14 Nov 2015
Posts: 54

Kudos [?]: 5 [0], given: 122

Location: India
GPA: 3.7
GMAT ToolKit User Premium Member
Re: M25-14 [#permalink]

Show Tags

New post 17 Dec 2017, 09:32
Bunuel wrote:
Ashokshiva wrote:
manojpandey80 wrote:
but if both the diagonals are perpendicular to each other (Option-1) , then it could be RHOMBUS only. then its all the sides are equal.
Which other quadilateral have perpendicular diagonals? Square ! that means it could be square also and square also has all sides equal.

please clarify.



Diagonals are perpendicular in parallelogram, rectangle, square and rhombus.


The diagonal in parallelogram and rectangle are NOT perpendicular to each other.

For more practice Properties of Polygons Questions.



thanks

The diagonals in parallelogram and rectangle only bisect each other and are not perpendicular.

Kudos [?]: 5 [0], given: 122

Re: M25-14   [#permalink] 17 Dec 2017, 09:32
Display posts from previous: Sort by

M25-14

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

Moderators: chetan2u, Bunuel



GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.