Discussion
The sequence of folding a piece of paper (figures i and ii) and the manner in which the folded paper has been cut (figure iii) is shown in the following figures. Select a figure from among the given options that would most closely resemble the unfolded form of figure (iii).
- A.
- B.
- C.
- D.
Answer: B
The unfolded paper looks like option 2.
Unfold the paper step by step, reflecting each cut across the fold line it was made over. The cuts in the last figure are on the folded corner of the paper, so after unfolding the cut-outs appear only in the lower part: two diamond-shaped holes and a semicircular notch on the bottom edge, which is what option 2 shows.
Options 1 and 3 show four diamond cuts and option 4 shows an extra notch at the top, none of which can come from the cut in the folded corner.
A useful check is the number of cut-outs. Each cut on a folded sheet is repeated on every layer, and the layers at the cut here make two diamonds and a notch, not four diamonds. The notch lies on the lower edge, because that is the edge where the folded corner sat, and this matches option 2 only.
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