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

It is currently 10 Dec 2018, 03:11

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

The figure above represents a square plot measuring x feet o

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

Hide Tags

Director
Director
avatar
Joined: 29 Nov 2012
Posts: 759
The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post Updated on: 26 Sep 2013, 02:55
3
2
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

84% (02:04) correct 16% (03:09) wrong based on 220 sessions

HideShow timer Statistics

Attachment:
image.jpg
image.jpg [ 4.14 KiB | Viewed 3622 times ]
The figure above represents a square plot measuring x feet on a side. The plot consists of a rectangular garden, 48 square feet in area, surrounded by a walkway that is 3 feet wide on two opposite sides and 2 feet wide on the other two sides. What is the value of X?

a) 8
b) 10
C) 12
d) 16
e) 18

Originally posted by fozzzy on 26 Sep 2013, 02:52.
Last edited by Bunuel on 26 Sep 2013, 02:55, edited 1 time in total.
Edited the question.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51067
Re: The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 26 Sep 2013, 02:56
3
2
fozzzy wrote:
Image
The figure above represents a square plot measuring x feet on a side. The plot consists of a rectangular garden, 48 square feet in area, surrounded by a walkway that is 3 feet wide on two opposite sides and 2 feet wide on the other two sides. What is the value of X?

a) 8
b) 10
C) 12
d) 16
e) 18


The length of the rectangular garden would be \(x-2*2\) and the width would be \(x-2*3\) --> \(area=(x-4)(x-6)=48\) --> \(x^2-10x-24=0\) --> \(x=12\) or \(x=-2\) (not a valid solution).

Answer: C.
_________________

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

General Discussion
Manager
Manager
avatar
B
Joined: 10 Mar 2014
Posts: 195
Premium Member
Re: The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 15 Apr 2014, 23:13
HI Bunnel,

If I will resolve the equation

x^2-10x-24=0 as x^2-4x-6x-24 = 0

then I will get x as 6,4

so value of x can be 6+3+3 or 6+2+2

12 or 10. both are present in the answer.
Manager
Manager
avatar
Joined: 26 Mar 2014
Posts: 98
Concentration: General Management, Strategy
GMAT 1: 630 Q49 V26
GMAT 2: 710 Q50 V37
WE: Consulting (Computer Software)
Re: The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 16 Apr 2014, 00:07
1
PathFinder007 wrote:
HI Bunnel,

If I will resolve the equation

x^2-10x-24=0 as x^2-4x-6x-24 = 0

then I will get x as 6,4

so value of x can be 6+3+3 or 6+2+2

12 or 10. both are present in the answer.



Hi,

x^2-10x-24=0 can not be resolved as x^2-4x-6x-24 = 0 because multilpying your roots -4 and -6 will give 24, whereas the actual product in the equation is -24.

Hence the correct way to resolve this equation is this : x^2 -12x + 2x - 24 = 0
=> x(x-12) + 2 (x-12)=0 => (x + 2) (x - 12) = 0.

This gives 12 and -2 as the roots of the equation. Since the length can not be negative, the correct answer is 12.

Hope this helps.
Manager
Manager
User avatar
B
Joined: 11 Nov 2011
Posts: 63
Location: United States
Concentration: Finance, Human Resources
GPA: 3.33
WE: Consulting (Non-Profit and Government)
GMAT ToolKit User
Re: The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 31 Jul 2015, 07:10
1
fozzzy wrote:
Attachment:
image.jpg
The figure above represents a square plot measuring x feet on a side. The plot consists of a rectangular garden, 48 square feet in area, surrounded by a walkway that is 3 feet wide on two opposite sides and 2 feet wide on the other two sides. What is the value of X?

a) 8
b) 10
C) 12
d) 16
e) 18


the area of rectangular is 48 sqft, so the length and width could be 8 and 6
6 ft + 2*3 ft = 8 ft + 2*2 ft = 12 ft
ans c) 12 feet
Current Student
User avatar
B
Joined: 27 Jan 2013
Posts: 97
Location: India
GMAT 1: 700 Q49 V35
GPA: 3.7
Re: The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 16 Apr 2016, 06:27
Bunuel wrote:
fozzzy wrote:
Image
The figure above represents a square plot measuring x feet on a side. The plot consists of a rectangular garden, 48 square feet in area, surrounded by a walkway that is 3 feet wide on two opposite sides and 2 feet wide on the other two sides. What is the value of X?

a) 8
b) 10
C) 12
d) 16
e) 18


The length of the rectangular garden would be \(x-2*2\) and the width would be \(x-2*3\) --> \(area=(x-4)(x-6)=48\) --> \(x^2-10x-24=0\) --> \(x=12\) or \(x=-2\) (not a valid solution).

Answer: C.














Hi Bunuel, how did you take the length as x-2*2 and breadth as x-2*3 ? I'm not able to figure out the reasoning behind this logic.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51067
Re: The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 16 Apr 2016, 09:19
RaghavSingla wrote:
Bunuel wrote:
fozzzy wrote:
Image
The figure above represents a square plot measuring x feet on a side. The plot consists of a rectangular garden, 48 square feet in area, surrounded by a walkway that is 3 feet wide on two opposite sides and 2 feet wide on the other two sides. What is the value of X?

a) 8
b) 10
C) 12
d) 16
e) 18


The length of the rectangular garden would be \(x-2*2\) and the width would be \(x-2*3\) --> \(area=(x-4)(x-6)=48\) --> \(x^2-10x-24=0\) --> \(x=12\) or \(x=-2\) (not a valid solution).

Answer: C.














Hi Bunuel, how did you take the length as x-2*2 and breadth as x-2*3 ? I'm not able to figure out the reasoning behind this logic.


Check below:

Image

The length= x - 2 -2 = x - 2*2
The width = x - 3 - 3 = x - 2*3

Attachment:
Untitled.png
Untitled.png [ 11.16 KiB | Viewed 1901 times ]

_________________

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

Manager
Manager
avatar
Joined: 10 Apr 2016
Posts: 55
Concentration: Strategy, Entrepreneurship
GMAT 1: 520 Q29 V30
GPA: 3.01
Re: The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 17 Apr 2016, 03:42
square root of 48 is approx. 6.9. Add 6 to that (2*3feet) and you get approximately 12.9... ?
_________________

Took the Gmat and got a 520 after studying for 3 weeks with a fulltime job. Now taking it again, but with 6 weeks of prep time and a part time job. Studying every day is key, try to do at least 5 exercises a day.

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2197
Premium Member CAT Tests
The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 12 Jul 2017, 18:18
fozzzy wrote:
Attachment:
image.jpg
The figure above represents a square plot measuring x feet on a side. The plot consists of a rectangular garden, 48 square feet in area, surrounded by a walkway that is 3 feet wide on two opposite sides and 2 feet wide on the other two sides. What is the value of X?

a) 8
b) 10
C) 12
d) 16
e) 18

Work from the answer choices. I'll pretend I started with E.

If x = 18, the length of the rectangle must be 18 - 2 - 2 (for each part of the walkway) = 14

OR 18 - 3 - 3 = 12 is the length of the rectangle.

Work with 12; it's a factor of 48, the area of the rectangle.

If rectangle length = 12, width is 48/12 = 4.

But that's the side that has 2-foot wide walkways.

Adding both 2-foot walkway parts to the width of the rectangle should yield 18.

4 + 2 + 2 = 8. Not possible. The outside shape is a square. Sides must be equal. 18 and 8 aren't equal.

No need to test rectangle length or width of 14. If 18 were the answer, because the outside is a square, it would yield 18 after taking walkway into account no matter which measure of rectangle side were used.

Try C, x = 12. If so, length of rectangle is 12 - 2 - 2 = 8. (Or 12 - 3 - 3 = 6.)

Work with L=8. If so, rectangle width must be 48/8 = 6.

When calculating rectangle length = 8, we accounted for the two 2-foot wide walkway parts.

So to rectangle width of 6, add the two 3-foot parts of the walkway: 3 + 3 = 6.

6 + 6 = 12, which is the number we need to make the sides be equal.

Answer C (which I chose to test first - got lucky)
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9088
Premium Member
Re: The figure above represents a square plot measuring x feet o  [#permalink]

Show Tags

New post 02 Dec 2018, 20:08
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: The figure above represents a square plot measuring x feet o &nbs [#permalink] 02 Dec 2018, 20:08
Display posts from previous: Sort by

The figure above represents a square plot measuring x feet o

  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®.