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

It is currently 17 Nov 2018, 22:20

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
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     November 18, 2018

     November 18, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score. November 18th, 7 AM PST
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.

If 72% of rectangular floor is covered by a rectangular rug that is 9

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50623
If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 04:13
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

66% (01:05) correct 34% (01:03) wrong based on 73 sessions

HideShow timer Statistics

If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7036
If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 04:45
2
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


Hi ..
72% of total =9*16
Don't multiply, may save time while dividing..

So \(\frac{72}{100}*total=9*16.......total =9*16*\frac{100}{72}\)
Divide both by 9 first..
\(total = 16*\frac{100}{8}\)
Now divide by 8
\(total=2*100=200\)

Therefore uncovered area = 200-9*16=56

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

CR Forum Moderator
avatar
P
Joined: 25 Apr 2018
Posts: 329
Premium Member Reviews Badge CAT Tests
If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post Updated on: 30 Aug 2018, 05:05
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


Let the total area be x

we are given 0.72(x)=16*9
=>x=200

Area of uncovered floor is 28% of x = 56

Option B is the Answer.
_________________

Please give kudos if you found my posts helpful!

Project CR Butler - 2 CR's everyday


Originally posted by gmat1393 on 30 Aug 2018, 04:51.
Last edited by gmat1393 on 30 Aug 2018, 05:05, edited 1 time in total.
Manager
Manager
avatar
B
Joined: 08 Oct 2015
Posts: 241
If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 04:56
Isn't the area of uncovered floor 28 percemt of 200?

Posted from my mobile device
Manager
Manager
avatar
B
Joined: 08 Oct 2015
Posts: 241
Re: If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 04:57
chetan2u wrote:
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


Hi ..
72% of total =9*16
Don't multiply, may save time while dividing..

So \(\frac{72}{100}*total=9*16.......total =9*16*\frac{100}{72}\)
Divide both by 9 first..
\(total = 16*\frac{100}{8}\)
Now divide by 8
\(total=2*100=200\)

D


Shouldn't the ans be 0.28 x 200?as it asks for uncovered area

Posted from my mobile device
Manager
Manager
User avatar
S
Joined: 06 Nov 2016
Posts: 61
Location: Viet Nam
Concentration: Strategy, International Business
GPA: 3.54
Re: If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 05:04
1
chetan2u wrote:
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


Hi ..
72% of total =9*16
Don't multiply, may save time while dividing..

So \(\frac{72}{100}*total=9*16.......total =9*16*\frac{100}{72}\)
Divide both by 9 first..
\(total = 16*\frac{100}{8}\)
Now divide by 8
\(total=2*100=200\)

D

Hi chetan2u
Here is my approach.
% of floor___Area
72 ----------> 9*16
28 ----------> \(\frac{(9*16)*28}{72}\)
--> Area of uncovered floor = \(\frac{(9*16)*28}{72}=\frac{(9*16)*28}{9*8}=2*28=56\) -> Answer B.
According to your solution, shouldn't 200 be the area of total floor, not the area of uncovered floor ?
Please correct me if I am wrong.
Thank you.
_________________

(^人^)
Image

GMATCLUB Search for tags

GMAC © Official Guides - The Master Directory + Links

Question Directory by Topic & Difficulty
Problem Solving | Data Sufficiency | Sentence Correction | Critical Reasoning | Reading Comprehension

ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7036
Re: If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 05:07
1
Izzyjolly wrote:
chetan2u wrote:
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


Hi ..
72% of total =9*16
Don't multiply, may save time while dividing..

So \(\frac{72}{100}*total=9*16.......total =9*16*\frac{100}{72}\)
Divide both by 9 first..
\(total = 16*\frac{100}{8}\)
Now divide by 8
\(total=2*100=200\)

D

Hi chetan2u
Here is my approach.
% of floor___Area
72 ----------> 9*16
28 ----------> \(\frac{(9*16)*28}{72}\)
--> Area of uncovered floor = \(\frac{(9*16)*28}{72}=\frac{(9*16)*28}{9*8}=2*28=56\) -> Answer B.
According to your solution, shouldn't 200 be the area of total floor, not the area of uncovered floor ?
Please correct me if I am wrong.
Thank you.



You are absolutely correct ..
I have answered for the total area, but it has to be for uncovered..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Manager
Manager
avatar
S
Joined: 25 Jul 2017
Posts: 96
Re: If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 05:13
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


Here 72% = 16*9 = 144
Therefore, uncovered floor = 28%
Now, since 72% = 144
Therefore, 28% = (144/72)*28 = 56

Hence B is the answer.
Director
Director
User avatar
P
Joined: 31 Oct 2013
Posts: 787
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 05:31
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


Note: we are looking for the are of the Uncovered Floor. Covered is 72% . So uncovered area is 28%.

covered floor = 16*9 = 144.

72% represents 144

1% represents 144/72

28% represents 144*28 / 72


= 56.

The best answer is B.
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4222
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 30 Aug 2018, 06:15
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


\(\frac{16*9}{72}*28\)

= 56, Answer must be (B)

PS : Skippe steps in between , anyone requirng explainations please feel free to revert. :grin: :grin: :grin:
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If 72% of rectangular floor is covered by a rectangular rug that is 9  [#permalink]

Show Tags

New post 04 Sep 2018, 03:38
Bunuel wrote:
If 72% of rectangular floor is covered by a rectangular rug that is 9 feet by 16 feet, what is the area, in square feet, of the uncovered floor?


A. 28
B. 56
C. 80
D. 200
E. 560


Letting n = the area of the floor, we can create the following equation:

(9 x 16) = 0.72n

144 = 0.72n

200 = n

So the area of the uncovered floor is 200 - 144 = 56 square feet.

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: If 72% of rectangular floor is covered by a rectangular rug that is 9 &nbs [#permalink] 04 Sep 2018, 03:38
Display posts from previous: Sort by

If 72% of rectangular floor is covered by a rectangular rug that is 9

  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®.