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

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Senior Manager
Joined: 10 Mar 2008
Posts: 305
A square counter top has a square tile inlay in the center,  [#permalink]

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20 Jul 2008, 19:14
00:00

Difficulty:

(N/A)

Question Stats:

40% (00:10) correct 60% (00:58) wrong based on 56 sessions

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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

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Manager
Joined: 04 Apr 2008
Posts: 193
Location: Pune

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20 Jul 2008, 19:56
explaination plz????????
but with some logic i thk it is A
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Director
Joined: 27 May 2008
Posts: 523

### Show Tags

20 Jul 2008, 20:16
1
vksunder wrote:
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

E. the question only give the ratio of areas....

inside area = 25K
strip area = 39K
total area = 64K
k = sqrt(K)
out side length = 8k
inside length = 5k

width of strip = 1/2 (8k-5k) = 3/2k

put k = 2/3, get I
put k = 2, get II
put k = 8/3, get III
Manager
Joined: 27 Oct 2009
Posts: 120
Location: Montreal
Schools: Harvard, Yale, HEC

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21 Jan 2011, 16:19
1
I think there's a typo, the choices should be:
(I) 1 1/2 or 1.5
(II) 3
(III) 4 1/2 or 4.5

This is question PS 404, OG 10. Look for the official explanation, pretty straight forward.
Math Expert
Joined: 02 Sep 2009
Posts: 52284

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21 Jan 2011, 16:25
ezinis wrote:
I think there's a typo, the choices should be:
(I) 1 1/2 or 1.5
(II) 3
(III) 4 1/2 or 4.5

This is question PS 404, OG 10. Look for the official explanation, pretty straight forward.

This question is discussed here: http://gmatclub.com/forum/hard-problem- ... 89215.html

P.S. It doesn't matter what numbers are given in the answer choices as any (positive) width will be possible.

--== Message from the GMAT Club Team ==--

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This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Posts: 9426
Re: A square counter top has a square tile inlay in the center,  [#permalink]

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01 Aug 2018, 10:54
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).

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Re: A square counter top has a square tile inlay in the center, &nbs [#permalink] 01 Aug 2018, 10:54
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