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If a rectangular piece of paper is cut into exactly three pieces by ma

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Bunuel
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If a rectangular piece of paper is cut into exactly three pieces by ma [#permalink] New post   03 Feb 2021, 11:17
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52% (01:30) correct 48% (01:25) wrong based on 44 sessions
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If a rectangular piece of paper is cut into exactly three pieces by making two straight cuts, which of the following could be the total number of edges on the three pieces?

I. 9
II. 11
III. 12

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

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E
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meanup
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Re: If a rectangular piece of paper is cut into exactly three pieces by ma [#permalink] New post   03 Feb 2021, 22:45
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Ans E

9 side for 3 Triangle => first cut diagonally and take one triangle and cut half
12 Sides for 3 rectangles => Cut 3 parallel rectangles
12 sides for 4 triangles => when cutting the rectangle both diagonally we have 4 triangles
11 Sides => Cut one in the shape of a trapezoid, then cut the remaining in the shape of a triangle and the remaining is a rectangle
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Palak74
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Re: If a rectangular piece of paper is cut into exactly three pieces by ma [#permalink] New post   Updated on: 04 Feb 2021, 07:03
Just a little trick I use to answer such questions where trial and error is involved.
Very easily I could figure out by making 2 horizontal or 2 vertical lines so 9 and 12 is def in the answer.
I browsed thru answer options and saw none of the options showing 1 and 3 only.
Hence I selected option E which says 1 ,2 and 3.
P.S : I did this here since I wasnt able to figure out when will it have 11 edges in the apt amount of time.

Originally posted by Palak74 on 04 Feb 2021, 05:21.
Last edited by Palak74 on 04 Feb 2021, 07:03, edited 1 time in total.
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Bunuel
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Re: If a rectangular piece of paper is cut into exactly three pieces by ma [#permalink] New post   04 Feb 2021, 06:57
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Bunuel wrote:
If a rectangular piece of paper is cut into exactly three pieces by making two straight cuts, which of the following could be the total number of edges on the three pieces?

I. 9
II. 11
III. 12

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

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Aren't you missing the highlighted part in the question?
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Palak74
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Re: If a rectangular piece of paper is cut into exactly three pieces by ma [#permalink] New post   04 Feb 2021, 07:07
I have edited my reply to make it clearer. Do let me know if it is the correct way of thinking.
Also I did not miss the highlighted part but can you please help clarify if the question states 3 equal parts or exactly 3 pieces. I suppose that would also make a difference if I am not wrong .

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rocky620
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Re: If a rectangular piece of paper is cut into exactly three pieces by ma [#permalink] New post   04 Feb 2021, 08:09
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Kindly refer to the image for better understanding.

All three cases are possible.

IMO Option E
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Re: If a rectangular piece of paper is cut into exactly three pieces by ma [#permalink]
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