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

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Director
Joined: 23 Feb 2015
Posts: 679
GMAT 1: 720 Q49 V40
A square piece of paper is cut by n different straight lines, each pas  [#permalink]

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06 Feb 2019, 09:42
00:00

Difficulty:

(N/A)

Question Stats:

50% (02:48) correct 50% (02:03) wrong based on 2 sessions

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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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“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”

Director
Joined: 23 Feb 2015
Posts: 679
GMAT 1: 720 Q49 V40
Re: A square piece of paper is cut by n different straight lines, each pas  [#permalink]

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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
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”

Math Expert
Joined: 02 Sep 2009
Posts: 52902
Re: A square piece of paper is cut by n different straight lines, each pas  [#permalink]

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06 Feb 2019, 09:58
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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