Shortcuts in Reasoning for Competitive Exams – Paper Cutting and Folding
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.
Directions In the following example, 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.
Step I – When sheet C is unfolded once, it will appear as follows
Step II – Clearly, the circle will appear in each of the triangular quarters of the paper. So, figure (c) would appear when sheet is opened.
EXAMPLE 2 .
Solution . 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 (d).
- Consider a mirror placed on the dotted line facing the portion part which is to be folded and the mirror image thus obtained is superimposed on the design of’ the other side to get the folded pattern.
- When more than one fold is made before punching then virtually try to unfold each fold one by onei and predict the complete unfolded pattern.