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# How many square floor tiles with each side x will it take to cover a

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Math Expert
Joined: 02 Sep 2009
Posts: 44282
How many square floor tiles with each side x will it take to cover a [#permalink]

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22 Feb 2018, 20:49
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How many square floor tiles with each side x will it take to cover a rectangular kitchen floor?

(1) The width of the kitchen floor is 10x.

(2) The length of the kitchen floor is 30x.
[Reveal] Spoiler: OA

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Location: India
Re: How many square floor tiles with each side x will it take to cover a [#permalink]

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23 Feb 2018, 00:11
Bunuel wrote:
How many square floor tiles with each side x will it take to cover a rectangular kitchen floor?

(1) The width of the kitchen floor is 10x.

(2) The length of the kitchen floor is 30x.

Statement 1
Width is 10x, so from width side, we would need to place 10 small square tiles (since each has a side x), but since we don't know the length, we cannot say how many tiles should be placed along the length. Not sufficient.

Statement 2
Length is 30x, so from length side, we would need to place 30 small square tiles (since each has a side x), but since we don't know the width, we cannot say how many tiles should be placed along the width. Not sufficient.

Combining the statements,
exactly 10 tiles needed along the width and exactly 30 tiles needed along the length. So total small square tiles required = 10*30 = 300.
Sufficient.

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Re: How many square floor tiles with each side x will it take to cover a [#permalink]

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23 Feb 2018, 00:19
Bunuel wrote:
How many square floor tiles with each side x will it take to cover a rectangular kitchen floor?

(1) The width of the kitchen floor is 10x.

(2) The length of the kitchen floor is 30x.

For finding out the tiles required we need to know length and the breadth of the rectangle

1) only breath no length

combining we have both l and b and thus we can find a unique value

(C) imo
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Re: How many square floor tiles with each side x will it take to cover a [#permalink]

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25 Feb 2018, 01:36
Bunuel wrote:
How many square floor tiles with each side x will it take to cover a rectangular kitchen floor?

(1) The width of the kitchen floor is 10x.

(2) The length of the kitchen floor is 30x.

Clearly I & II are Insufficient.

Now, $$n*x^2 = 300*x^2$$
$$x^2*(n-300) = 0$$
$$n = 300$$

Hence, C.
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Joined: 20 Feb 2017
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Re: How many square floor tiles with each side x will it take to cover a [#permalink]

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02 Mar 2018, 05:47
To find out the the number of tiles, we would need to figure out the area. To find the area we would need both the length and breath. Therefore C would be the correct answer. Correct me if I'm wrong.
Re: How many square floor tiles with each side x will it take to cover a   [#permalink] 02 Mar 2018, 05:47
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