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

It is currently 22 Oct 2018, 07:20

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

What is the area of Quadrilateral PQRS ? (1) PQ = QR = RS = SP = 1

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

Hide Tags

Senior DS Moderator
User avatar
D
Joined: 27 Oct 2017
Posts: 904
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
What is the area of Quadrilateral PQRS ? (1) PQ = QR = RS = SP = 1  [#permalink]

Show Tags

New post 11 May 2018, 21:16
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

51% (01:25) correct 49% (01:03) wrong based on 55 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 16 Aug 2015
Posts: 18
Location: India
GMAT ToolKit User
Re: What is the area of Quadrilateral PQRS ? (1) PQ = QR = RS = SP = 1  [#permalink]

Show Tags

New post 12 May 2018, 06:47
1
(1) is not sufficient alone. all sides equal means it can a square or a rhombus
(2) is not sufficient alone. the length of the diagonal alone cannot be used to determine the area.

Together they can be used to find the area.

Answer: C
Senior DS Moderator
User avatar
D
Joined: 27 Oct 2017
Posts: 904
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: What is the area of Quadrilateral PQRS ? (1) PQ = QR = RS = SP = 1  [#permalink]

Show Tags

New post 12 May 2018, 20:24
1
(1) PQ = QR = RS = SP = 1
It shows the Quadrilateral PQRS is a Rhombus with sides 1, but since the area of rhombus can not be found only by knowing the length of the sides as it is not constant. In fact, its area will be maximum when included angle between sides is 90 deg( in that case, it will be a Square)
NOT SUFFICIENT.

(2) PR = root 3
Since Only a diagonal is known, no other information. It is NOT SUFFICIENT.

Now combining Statement 1 & 2,
we get PQRS is a Rhombus with side = 1, and diagonal = root 3.

Now visualize that the diagonal of a parallelogram divides the parallelogram into 2 triangles of equal area. So We need to find only the area of a triangle formed by 2 sides and a diagonal.
i) Since we know the sides = 1, and diagonal = root3
ii) all three sides are known, so unique triangle can be formed and hence the area of triangle.
iii) Now area of Rhombus will be twice the area of triangle.

SUFFICIENT.

Answer - C

(PS: Another Approach: As the diagonals of a Rhombus bisects each other perpendicularly, we cab find the other diagonal by Pythagoras theorem. And the Area would be (D1*D2)/2 = (Product of diagonals)/2)
_________________

Win Tests/ Prep Courses- Weekly Quant Quiz Contest
SC: Confusable words

All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

GMAT Club Bot
Re: What is the area of Quadrilateral PQRS ? (1) PQ = QR = RS = SP = 1 &nbs [#permalink] 12 May 2018, 20:24
Display posts from previous: Sort by

What is the area of Quadrilateral PQRS ? (1) PQ = QR = RS = SP = 1

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.