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A square piece of paper is cut by n different straight lines, each pas

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A square piece of paper is cut by n different straight lines, each pas  [#permalink]

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New post 06 Feb 2019, 09:42
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A square piece of paper is cut by n different straight lines, each passing through two parallel sides of the square. If no cut passes through any of the square's four vertices, what is the value of n?

(1) The sum of the perimeters of the smaller shapes into which the square is cut is exactly n times the perimeter of the original square.

(2) The n cuts divide the original square into two pentagons, three quadrilaterals, and two triangles.
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

(D) EACH statement ALONE is sufficient.

(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Source: Manhattan GMAT Challenge question

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Re: A square piece of paper is cut by n different straight lines, each pas  [#permalink]

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New post 06 Feb 2019, 09:47
Hi Bunuel,
the following thread should be removed-this does not maintain forum's posting rules, i guess!
Thanks__

https://gmatclub.com/forum/a-square-pie ... l#p1532603
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Re: A square piece of paper is cut by n different straight lines, each pas  [#permalink]

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New post 06 Feb 2019, 09:58
AsadAbu wrote:
A square piece of paper is cut by n different straight lines, each passing through two parallel sides of the square. If no cut passes through any of the square's four vertices, what is the value of n?

(1) The sum of the perimeters of the smaller shapes into which the square is cut is exactly n times the perimeter of the original square.

(2) The n cuts divide the original square into two pentagons, three quadrilaterals, and two triangles.
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

(D) EACH statement ALONE is sufficient.

(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Source: Manhattan GMAT Challenge question


Discussed here: https://gmatclub.com/forum/a-square-pie ... 49666.html
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Re: A square piece of paper is cut by n different straight lines, each pas   [#permalink] 06 Feb 2019, 09:58
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