It is currently 28 Nov 2020, 15:26
My Tests

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.

If 3/5 of a circular floor is covered by a rectangular rug t

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13916
GRE 1: Q160 V160
Followers: 315

Kudos [?]: 3683 [1] , given: 12939

CAT Tests
If 3/5 of a circular floor is covered by a rectangular rug t [#permalink] New post 27 Jun 2018, 09:23
1
This post received
KUDOS
Expert's post
00:00

Question Stats:

87% (01:31) correct 12% (02:43) wrong based on 16 sessions
If \(\frac{3}{5}\) of a circular floor is covered by a rectangular rug that is \(x\) feet by \(y\) feet, which of the following represents the distance from the center of the floor to the edge of the floor?

A. \(\frac{5 \sqrt{xy}}{3\pi}\)

B. \(\sqrt{\frac{5xy}{3 \pi}}\)

C. \(\frac{3\pi}{ 5 \sqrt{xy}}\)

D. \(\sqrt{xy}\) \(- \frac{3 \pi}{5}\)

E. \(\sqrt{\frac{3xy}{5\pi}}\)
[Reveal] Spoiler: OA

_________________

New to the GRE, and GRE CLUB Forum?
GRE: All you do need to know about the GRE Test | GRE Prep Club for the GRE Exam - The Complete FAQ
Search GRE Specific Questions | Download Vault
Posting Rules: QUANTITATIVE | VERBAL
FREE Resources: GRE Prep Club Official LinkTree Page | Free GRE Materials - Where to get it!! (2020)
Free GRE Prep Club Tests: Got 20 Kudos? You can get Free GRE Prep Club Tests
GRE Prep Club on : Facebook | Instagram


Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
3rd Party Resource's: All Quant Questions Collection | All Verbal Questions Collection
Books: All GRE Best Books
Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)
How is the GRE Score Calculated -The Definitive Guide (2021)
Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)
Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)

1 KUDOS received
Active Member
Active Member
Joined: 29 May 2018
Posts: 126
Followers: 0

Kudos [?]: 112 [1] , given: 4

Re: If 3/5 of a circular floor is covered by a rectangular rug t [#permalink] New post 28 Jun 2018, 11:45
1
This post received
KUDOS
Carcass wrote:
If \(\frac{3}{5}\) of a circular floor is covered by a rectangular rug that is \(x\) feet by \(y\) feet, which of the following represents the distance from the center of the floor to the edge of the floor?

A. \(\frac{5 \sqrt{xy}}{3\pi}\)

B. \(\sqrt{\frac{5xy}{3 \pi}}\)

C. \(\frac{3\pi}{ 5 \sqrt{xy}}\)

D. \(\sqrt{xy}\) \(- \frac{3 \pi}{5}\)

E. \(\sqrt{\frac{3xy}{5\pi}}\)


Without a diagram took me 3:45 mins time to solve this and unnecessarily started to draw vague diagram. Later realized the solution properly.

Follow the below diagram.

When it is mentioned that 3/5 circle area that means out of 5 parts 3 parts area is equal to rectangle area.

i.e. xy (area of rectangle) = 3/5 ( pi * r^2 ) .

=> \(\sqrt{\frac{5xy}{3 \pi}}\).
Attachments

cir.PNG
cir.PNG [ 17.95 KiB | Viewed 1315 times ]

VP
VP
Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1342 [0], given: 251

Re: If 3/5 of a circular floor is covered by a rectangular rug t [#permalink] New post 28 Jun 2018, 12:16
Carcass wrote:
If \(\frac{3}{5}\) of a circular floor is covered by a rectangular rug that is \(x\) feet by \(y\) feet, which of the following represents the distance from the center of the floor to the edge of the floor?

A. \(\frac{5 \sqrt{xy}}{3\pi}\)

B. \(\sqrt{\frac{5xy}{3 \pi}}\)

C. \(\frac{3\pi}{ 5 \sqrt{xy}}\)

D. \(\sqrt{xy}\) \(- \frac{3 \pi}{5}\)

E. \(\sqrt{\frac{3xy}{5\pi}}\)


Here,
We need to find out the radius of the circle
From the ques we know

\(\frac{3}{5}\) of the circle area = area of the rectangle

or \(\frac{3}{5}\) * area of the circle = area of rectangle

or \(\frac{3}{5} * \pi * r^2\)= x * y

or \(r^2\) = \(\frac{5xy}{3 \pi}\)

or r = \(\sqrt{\frac{5xy}{3 \pi}}\)
_________________

If you found this post useful, please let me know by pressing the Kudos Button


Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests

Re: If 3/5 of a circular floor is covered by a rectangular rug t   [#permalink] 28 Jun 2018, 12:16
Display posts from previous: Sort by

If 3/5 of a circular floor is covered by a rectangular rug t

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.