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In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
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as given , each row to the right = subtract 2 additional tiles.
also the number of rows = 9

therefore total no of tiles to be subtracted =2+4+6+8+10+12+14+16=72
now , total tiles given =504

since units digit is different in each of the choice

9*(option choice) - 504 should give us 72 (or simply 2) in the units digit

the only option that gives that is 64
:-D
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Re: In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
shasadou wrote:
In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 504 tiles in the floor, how many tiles does the leftmost row contain?

A. 52
B. 56
C. 60
D. 64
E. 68


"each row of tiles to the right of the first row contains two fewer tiles than row directly to its left"
I actually don't understand the question and I really have trouble getting what was going on. Can anyone please help draw a picture of how the row are laying out in the question and help explain it to me?
thank you so much!
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Re: In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
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Hi ahuan077,

The use of the word "row" in this question is a bit strange, since rows go from 'left-to-right' and the 2nd row would be beneath the 1st row. As such, it would probably be easier if you think of this question in terms of "columns" - we start with the 1st column, then the 2nd column, then the 3rd column, etc.

We're told that each "column" has 2 fewer tiles than the one to its immediate left, so here's a simple example of what the columns could be if there was no other information to work with:

1st column = 10 tiles
2nd column = 8 tiles
3rd column = 6 tiles
4th column = 4 tiles
5th column = 2 tiles
6th column = 0 tiles

We're clearly dealing with LOTS more tiles though (504 tiles) and only 9 columns, but this IS a constant sequence of values, so there are a number of patterns that we can use to our advantage (my original post - a few posts up) explains them.

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Re: In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
Hi, Rich:

Thank you so much for your kind explanation, I really appreciate it.

Now I know what the question was talking about. Previously I understood as there are two separate columns to start with, one one the right side of the first row and one on the left side of the first row, and they each extend to nine rows(columns). That's why no matter how hard I tried, I simply could not come up with a sensible solution.

Many, many thanks!



Audrey

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Re: In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
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It's basically a decreasing AP series. (The use of the word row is really odd and confusing)

\(\frac{9}{2} * [2a + (9-1) * -2] = 504\)
a - 8 = 56
a = 64
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Re: In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
can anyone paraphrase this question using simple English ??? i have no clue what this question is about

thanks
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In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
I find this a very confusing and irritating question. Can someone please visualize the floor with a picture?

How can you have right and left of 9 rows?

each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left

Below i have 9 rows, but i cannot visualize right and left of the rows. Very confusing language!!!

1 ______________
2 ______________
3 ______________
4 ______________
5 ______________
6 ______________
7 ______________
8 ______________
9 ______________

Shouldnot the question be that each row contains 2 fewer than the one below it, instead of the confusing language of left to it?
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Re: In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
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Rebaz wrote:
I find this a very confusing and irritating question. Can someone please visualize the floor with a picture?

How can you have right and left of 9 rows?

each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left

Below i have 9 rows, but i cannot visualize right and left of the rows. Very confusing language!!!

1 ______________
2 ______________
3 ______________
4 ______________
5 ______________
6 ______________
7 ______________
8 ______________
9 ______________

Shouldnot the question be that each row contains 2 fewer than the one below it, instead of the confusing language of left to it?


Hi ahuan077,

The use of the word "row" in this question is a bit strange, since we're told that rows go from 'left-to-right' and normally we think of rows as going from 'top-to-bottom.' As such, it would probably be easier if you think of this question in terms of "columns" - we start with the 1st column, then the 2nd column, then the 3rd column, etc. going from left-to-right.

We're told that each "column" has 2 fewer tiles than the one to its immediate left, so here's a simple example of what the columns could be if there was no other information to work with:

1st column = 10 tiles
2nd column = 8 tiles
3rd column = 6 tiles
4th column = 4 tiles
5th column = 2 tiles
6th column = 0 tiles

We're clearly dealing with LOTS more tiles though (504 tiles) and only 9 columns, but this IS a constant sequence of values, so there are a number of patterns that we can use to our advantage (my original post - a few posts up) explains them.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at: Rich.C@empowergmat.com
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Re: In the floor of a particular kitchen owned by an abstract artist, each [#permalink]
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Thanks for your clear explanation!
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