GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Sep 2018, 23:10

### 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

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

# ABCD is a quadrilateral. Find the area-Geometry-DS

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 08 Jun 2013
Posts: 332
Location: India
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Engineering (Other)

### Show Tags

24 Aug 2018, 20:42
1
00:00

Difficulty:

35% (medium)

Question Stats:

64% (00:46) correct 36% (00:32) wrong based on 25 sessions

### HideShow timer Statistics

(1) The diagonals are perpendicular bisectors of each other.

(2) The length of each side is 10 cm.

_________________

It seems Kudos button not working correctly with all my posts...

Please check if it is working with this post......

is it?....

Anyways...Thanks for trying

Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 927
Location: India
GPA: 3.64

### Show Tags

24 Aug 2018, 23:29
Harshgmat wrote:

(1) The diagonals are perpendicular bisectors of each other.

(2) The length of each side is 10 cm.

S1 - The diagonals are perpendicular bisectors of each other. - Can be a square or rhombus.
Cannot find the area. Insufficient.

S2 - The length of each side is 10 cm. Cannot find the area. Insufficient.
Combining S1 and S2 - Can be a square or rhombus.
Cannot find the area. Insufficient.

_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Senior Manager
Joined: 07 Oct 2017
Posts: 273

### Show Tags

25 Aug 2018, 00:08
Harshgmat wrote:

(1) The diagonals are perpendicular bisectors of each other.

(2) The length of each side is 10 cm.
St1: perpendicular bisector means diagonals intersect at 90 degrees and the point where they intersect is mid point of the diagonal.

Possible figures : Rhombus or square

St2: each side is equal - - - > possible figure is rhombus or square.

Combined -
Can be square or rhombus

E
____________

On a side note : if it was mentioned diagonals intersect each other at 90---possible figures were kite, rhombus, square,

Diagonals are equal in length - - - possible figures were square, rectangle, and isosceles trapenzium.

Consider kudos if that helped

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
_________________

Thank you =Kudos
The best thing in life lies on the other side of the pain.

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 851
WE: Supply Chain Management (Energy and Utilities)

### Show Tags

25 Aug 2018, 02:05
Harshgmat wrote:

(1) The diagonals are perpendicular bisectors of each other.

(2) The length of each side is 10 cm.

St1:- The diagonals are perpendicular bisectors of each other.
I would discard this statement immediately without thinking about geometric properties. Area is a numerical value, there must be a numerical value in the statements(This is a minimum requirement).
Insufficient.

St2:- The length of each side is 10 cm.
Area is Y1,Y2,Y3 etc, when the quad is a rhombus, where $$0<Area(Y)\leq{10^2}$$
(This range of areas is due to the flexibility of a rhombus that fits it at different angles. Max area=$$10^2$$ when the angles of the rhombus are at 90 degree ).
No unique value of area.
Insufficient.

Combining, no new information as diagonals of both rhombus and square are perpendicular bisector of each other.
Same scenario as we have cited in st2.
No unique value of area, insufficient.

Ans. (E)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

ABCD is a quadrilateral. Find the area-Geometry-DS &nbs [#permalink] 25 Aug 2018, 02:05
Display posts from previous: Sort by

# Events & Promotions

 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®.