# Reasoning and General Intelligence – Paper Cutting and Folding

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Reasoning and General Intelligence – Paper Cutting and Folding

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#### Reasoning and General Intelligence – Paper Cutting and Folding

In this section, a sheet of paper is folded in given manner and cuts are made on it. A cut may be of verying designs. We have to analyze how this sheet of paper will look when paper is unfolded. Note that when a cut is made on folded paper, the designs of the cut will appear on each fold. In each of following examples, figures A and B show a sequence of folding a square sheet. Figure C shows the manner in which folded paper has been cut. You have to select the appropriate figure from alternatives which would appear when sheet is opened.

EXAMPLE 1.

Sol.Â Â Â Â Â  (a) Step-I When sheet C is unfolded once, it will appear as follows

Â Â Â Â Â Â Â Â Â Â Â  Step II – Clearly, the circle will appear in each of the triangular quarters of the paper.

EXAMPLE 2.

Sol.Â Â Â Â Â  (b) Unfolded Step I

Since a quarter circle is made on folded paper Therefore, when the paper is opened, a complete circle will appear on paper.

EXAMPLE 3.

Sol.Â  Â  Â  Here, a circular cut is made on the quarter circle. Hence, this sheet, when completely unfolded, will contain small circle on each quarter and will appear as option.

EXAMPLE 4.

Sol. (a) When sheet (c) is unfolded once, it will appear as shown below:

This sheet when completed unfolded will appear as option (a)

EXAMPLE 5.

Sol. (a) When sheet C is unfolded once, it will appear as shown below

This sheet, when completely unfolded will appear as option (a)

EXAMPLE 6.

Sol. (d) We untold the paper step by step as follows

Â Â Â Â Â Â Â Â Â Â Â  Step I

EXAMPLE 7.Â Solution: (d) We unfold the paper step by step as follows.Â