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A square tile has a square design inlay exactly in the center, leaving
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20 Sep 2021, 09:10
20 Sep 2021, 09:10
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A square tile has a square design inlay exactly in the center, leaving a strip of uniform width around the design inlay. The ratio of inlay area to that of tile area is 25 to 39.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Width (in inches) of the strip |
3 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A square tile has a square design inlay exactly in the center, leaving
[#permalink]
20 Sep 2021, 09:19
20 Sep 2021, 09:19
2
KarunMendiratta wrote:
A square tile has a square design inlay exactly in the center, leaving a strip of uniform width around the design inlay. The ratio of inlay area to that of tile area is 25 to 39.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Width (in inches) of the strip |
3 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Let's say we want to create a plaque with a square brass inlay in the center, and we want the brass to wood ratio to be 25:39
Let's begin a square wooden board with ANY dimensions.
Now place a square brass inlay in the middle of the wooden board, and keep adjusting the size of the brass inlay until we have a brass to wood ratio that is 25:39
At this point, if we shrink or expand the plaque . . .
. . . the brass to wood ratio will remain at 25:39
So, as you can see, this plaque can be ANY size, which means the width of the wooden strip can have ANY measurement.
So, we get:
Quantity A: Any positive number
Quantity B: 3
Answer: D
General Discussion
Re: A square tile has a square design inlay exactly in the center, leaving
[#permalink]
25 Apr 2023, 09:43
25 Apr 2023, 09:43
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Thanks to another GRE Prep 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.
