It is currently 17 Oct 2017, 08:44

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

Events & Promotions in June
Open Detailed Calendar

A square counter top has a square tile inlay in the center

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

Hide Tags

Intern
Intern
avatar
Joined: 01 Jan 2007
Posts: 23

Kudos [?]: 22 [0], given: 0

A square counter top has a square tile inlay in the center [#permalink]

Show Tags

New post 22 May 2008, 17:27
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

50% (00:56) correct 50% (01:26) wrong based on 93 sessions

HideShow timer Statistics

A square counter top has a square tile inlay in the center, leaving an untiled strip of uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39,which of the following could be the width, in inches, of the strip?

I. 1
II. 3
III. 4

A I only
B II only
C I & II only
D I & III only
E. I, II & III

Open discussion of this question is here: a-square-wooden-plaque-has-a-square-brass-inlay-in-the-89215.html
_________________

Regards,

Rocky


Last edited by Bunuel on 30 Jun 2012, 09:39, edited 1 time in total.
Topic is locked.

Kudos [?]: 22 [0], given: 0

Director
Director
avatar
Joined: 23 Sep 2007
Posts: 782

Kudos [?]: 235 [0], given: 0

Re: Ratio problem [#permalink]

Show Tags

New post 22 May 2008, 18:06
B

let the whole counter top = x
the inlay = y

(y^2)/((x^2) - (y^2)) = 25/39

39*y^2 = 25*x^2 - 25*y^2

64*y^2 = 25*x^2

8y = 5x

y = 5x/8

therefore the 2 widths (1 on each side) add together is 3x/8 or 1 width = 3x/16

you can substitute any number for the width and get the x value and use the x value to get the y value.

Therefore any width is possible, because there is no constrain on the size of the actual counter top.

Kudos [?]: 235 [0], given: 0

6 KUDOS received
Manager
Manager
avatar
Joined: 11 Apr 2008
Posts: 153

Kudos [?]: 68 [6], given: 0

Schools: Kellogg(A), Wharton(W), Columbia(D)
Re: Ratio problem [#permalink]

Show Tags

New post 23 May 2008, 07:29
6
This post received
KUDOS
tekno9000 wrote:
Please solve and explain.

A square counter top has a square tile inlay in the center, leaving an untiled strip of uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39,which of the following could be the width, in inches, of the strip?
I. 1
II. 3
III. 4

A I only
B II only
C I & II only
D I & III only
E. I,II & III


A sample value is Square of SIDE 5 and STRIP of thickness 3; total counter 8;
Now, the ratio of canter square area and strip area is 25/39.
Since, there is no constraint on the total size, this exact shape can shrink/expand maintaining its ratios and achieveing any strip thickness including 1/3/4 - Hence E.

Kudos [?]: 68 [6], given: 0

Manager
Manager
avatar
Joined: 01 May 2008
Posts: 111

Kudos [?]: 7 [0], given: 0

Location: São Paulo
Re: Ratio problem [#permalink]

Show Tags

New post 23 May 2008, 07:53
gmatnub wrote:
B

let the whole counter top = x
the inlay = y

(y^2)/((x^2) - (y^2)) = 25/39

39*y^2 = 25*x^2 - 25*y^2

64*y^2 = 25*x^2

8y = 5x

y = 5x/8

therefore the 2 widths (1 on each side) add together is 3x/8 or 1 width = 3x/16

you can substitute any number for the width and get the x value and use the x value to get the y value.

Therefore any width is possible, because there is no constrain on the size of the actual counter top.


I think it´s E.

Picking the number at this fórmula, we have:
I. 8y = 5(y+2)
8y=5y+10
y=10/3 - POSSIBLE

II. 8y = 5(y+6)
8y=5y+30
y=30/3=10 - POSSIBLE

III. 8y = 5(y+8)
8y=5y+40
y=40/3 - POSSIBLE

Kudos [?]: 7 [0], given: 0

Manager
Manager
avatar
Joined: 20 May 2008
Posts: 56

Kudos [?]: 16 [0], given: 1

Re: Ratio problem [#permalink]

Show Tags

New post 07 Feb 2009, 03:33
neither am i..
please explain and elaborate

thank you.

Kudos [?]: 16 [0], given: 1

2 KUDOS received
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1792

Kudos [?]: 1057 [2], given: 5

Location: New York
Re: Ratio problem [#permalink]

Show Tags

New post 07 Feb 2009, 23:17
2
This post received
KUDOS
LoyalWater wrote:
neither am i..
please explain and elaborate

thank you.



Area Ratio = 25/39

Let say
outer square area = 25+39 = 64 = 8*8
inner square area (tile area) = 25=5*5

strip length = 8-5= 3

So Outer Square side length: tile lenght: strip = 8:5:3
Question is asking is 1,3,4 strip lengths are possible..? answer is yes.


Outer Square side length: tile lenght: strip = 8:5:3 (here strip length 3)
Outer Square side length: tile lenght: strip = 8/3:5/3:1 (here strip length 1)
Outer Square side length: tile lenght: strip = 32/3:20/3:4 (here strip length 1)

Answer is E.

Here tricky part is ... Question gave the ratio not actual areas.
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Kudos [?]: 1057 [2], given: 5

Manager
Manager
User avatar
Joined: 28 Jul 2011
Posts: 234

Kudos [?]: 160 [0], given: 16

Re: Ratio problem [#permalink]

Show Tags

New post 30 Jun 2012, 09:11
will vote for : E (question is could be, so can consider approx near by values)


tiled square area = 25x = side = 5 sqrt x
total area = 64x = side = 8 sqrt x

now strip = 8 sqrt x - 5 sqrt x

when x = 1
strip = 3

when x = 2 (sqrt 2 = 1.4)
strip = (approx) 3 (1.4) = 4.2

when x = 3 (sqrt 3 = 1.7)
strip = (approx) 3 (1.7) = 5.1

when x = 1/9
strip = 3 (1/3) = 1

Kudos [?]: 160 [0], given: 16

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128551 [0], given: 12180

Re: Ratio problem [#permalink]

Show Tags

New post 30 Jun 2012, 09:37

Kudos [?]: 128551 [0], given: 12180

Re: Ratio problem   [#permalink] 30 Jun 2012, 09:37
Display posts from previous: Sort by

A square counter top has a square tile inlay in the center

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


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