NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 04:40 It is currently 26 Apr 2024, 04:40
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619142 [4]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are [#permalink] New post   03 Sep 2020, 00:30
4
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

56% (01:41) correct 44% (01:35) wrong based on 115 sessions
Hide Show timer Statistics
ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are all congruent. BCEF is a rhombus and shares a common side with the quadrilateral ABCD. The area of which one is greater: ABCD or BCEF ?

(1) ABCD is a square.
(2) BCEF is not a square.


Are You Up For the Challenge: 700 Level Questions



Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here
ShowHide Answer
Official Answer
C
avatar
B
p05eid0n
Intern
Intern
Joined: 23 Jul 2020
Posts: 24
Own Kudos [?]: 21 [2]
Given Kudos: 7
Send PM
Re: ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are [#permalink] New post   03 Sep 2020, 01:22
2
Kudos
Given
ABCD is a quadrilateral.
BCEF is a rhombus.

Statement 1 - ABCD is a square.
Since ABCD and BCEF share a side BC, we can conclude that the lengths of sides are the same.
But we cannot conclude that BCEF is truly only a rhombus because every square is also a rhombus.

so, BCEF can be a square or a rhombus. So statement 1 is insufficient.

Statement 2 - BCEF is not a square.
This gives us a on clarity on BCEF but doesn't mention anything about ABCD
So statement 2 is insufficient.

Combining 1 and 2
we now know that ABCD is a square and BCEF is only a rhombus.
for a square and rhombus with equal sides, square will have max area.

IMO C
User avatar
L
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Posts: 3137
Own Kudos [?]: 2769 [0]
Given Kudos: 1510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
Send PM
Re: ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are [#permalink] New post   03 Sep 2020, 01:35
Both ABCD and BCEF share 1 side
1) ABCD is a square
Case 1: BCEF is a square
Both ABCD and BCEF have same area.

Case 2: BCEF is a rectangle
ABCD have bigger area.(Since square have the greatest area among all quadrilaterals)
(Insufficient)

2) BCEF is not a square.
Case 1: ABCD is a square
ABCD have bigger area

Case 2: ABCD is also not a square, there are many possible figure of ABCD and BCEF, I.e. Rectangle, Trapezoid, Trapezium, Rhombus. Varying the area among each other.
(Insufficient)

Combining both.
ABCD is a square and BCEF is a non square.
Therefore area of ABCD is bigger.
(Sufficient)

Answer is C

Posted from my mobile device
avatar
S
AjitJangale
Intern
Intern
Joined: 25 Jun 2019
Posts: 38
Own Kudos [?]: 36 [0]
Given Kudos: 123
Send PM
Re: ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are [#permalink] New post   03 Sep 2020, 01:58
Important Property = For a given perimeter square have always largest area.

We need to identify ABCD and BCEF are exactly square or rhombus or any other quadrilateral.

Statement 1) ABCD is a square.

Not given about exactly about BCEF.

Insufficient


(2) BCEF is not a square.

This does not give that BCEF and ABCD are which type quadrilateral.

Insufficient.

Combining Together we know that ABCD is square and BCEF is not square. So we can conclude that ABCD have greater area than BCEF as mentioned in above property.

IMO Answer is C,
User avatar
G
sambitspm
Senior Manager
Senior Manager
Joined: 05 Aug 2019
Posts: 317
Own Kudos [?]: 279 [1]
Given Kudos: 130
Location: India
Concentration: Leadership, Technology
GMAT 1: 600 Q50 V22
GMAT 2: 670 Q50 V28 (Online)
GPA: 4
Send PM
Re: ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are [#permalink] New post   05 Sep 2020, 05:06
1
Kudos
Kindly see the attachment.

Area of Rhombus is x^2*sin⨁
Attachments

1.png
1.png [ 692.92 KiB | Viewed 2318 times ]

User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32682
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are [#permalink] New post   12 Feb 2022, 07:39
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 Club Bot
gmatclubot
Re: ABCD is a quadrilateral. A rhombus is a quadrilateral whose sides are [#permalink]
12 Feb 2022, 07:39
Moderator:
Bunuel
Math Expert
92929 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions