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

 It is currently 15 Dec 2018, 00:00

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

December 15, 2018

December 15, 2018

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### \$450 Tuition Credit & Official CAT Packs FREE

December 15, 2018

December 15, 2018

10:00 PM PST

11:00 PM PST

Get the complete Official GMAT Exam Pack collection worth \$100 with the 3 Month Pack (\$299)

# A quadrilateral PQRS is inscribed in a circle. Is PQRS a square?

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

### Hide Tags

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
A quadrilateral PQRS is inscribed in a circle. Is PQRS a square?  [#permalink]

### Show Tags

09 Jul 2018, 20:48
1
00:00

Difficulty:

55% (hard)

Question Stats:

45% (00:40) correct 55% (00:33) wrong based on 38 sessions

### HideShow timer Statistics

A quadrilateral PQRS is inscribed in a circle. Is PQRS a square?

(1) PQRS is a rhombus.

(2) Diagonals of PQRS are equal.
Manager
Joined: 19 Nov 2017
Posts: 174
Location: India
Schools: ISB
GMAT 1: 670 Q49 V32
GPA: 4
Re: A quadrilateral PQRS is inscribed in a circle. Is PQRS a square?  [#permalink]

### Show Tags

09 Jul 2018, 22:56
amanvermagmat wrote:
A quadrilateral PQRS is inscribed in a circle. Is PQRS a square?

(1) PQRS is a rhombus.

(2) Diagonals of PQRS are equal.

Should be A imo.
If quad is inscribed in a circle it means all corners must be on the circle.
(1) says its a rhombus.
For a Rhombus to be a square, all angles must be equal, and the diagonals should be equal. These properties would be met if a rhombus inscribed in a circle and the diagonal would be equal to the diameter of the circle.
_________________

Regards,

Vaibhav

Sky is the limit. 800 is the limit.

~GMAC

Intern
Joined: 30 Aug 2016
Posts: 6
Concentration: Marketing, Finance
Re: A quadrilateral PQRS is inscribed in a circle. Is PQRS a square?  [#permalink]

### Show Tags

10 Jul 2018, 02:48
amanvermagmat wrote:
A quadrilateral PQRS is inscribed in a circle. Is PQRS a square?

(1) PQRS is a rhombus.

(2) Diagonals of PQRS are equal.

Statement 1 alone is sufficient to state that PQRS is a square.

A rhombus consists of all equal sides and its diagonals are perpendicular bisectors.
Considering, the quadrilateral PQRS is inscribed inside the circle, all the points of PQRS must lie on the circle.

If all points like on the circle and the sides are to be equal then the diagonals of the rhombus are diameters of the circle. And we know that any triangle formed with one of the sides as the diameter will have the angle opposite to the side to be 90.

Hence, all angles are 90 and all sides are equal.

The answer should be A.
Re: A quadrilateral PQRS is inscribed in a circle. Is PQRS a square? &nbs [#permalink] 10 Jul 2018, 02:48
Display posts from previous: Sort by

# A quadrilateral PQRS is inscribed in a circle. Is PQRS a square?

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

 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®.