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Question

A paper is folded and cut as shown below. How will it appear when unfolded?

The correct answer is

To determine how the paper will appear when unfolded, follow these logical steps:

  1. Observe the pattern of folds and cuts in the initial image provided:
  2. The paper is folded systematically, likely in multiple layers, which suggests symmetry. Understanding how each fold and cut reflects across the axes of symmetry is crucial.
  3. Identify the geometric shape where cuts are made. Cuts are positioned such that when the paper is unfolded, these cuts form a repeating symmetrical pattern.
  4. Consider the central cut. It appears to be circular or semi-circular, which will appear symmetrically distributed when opened. Similarly, any additional cuts will be evenly mirrored.
  5. Visualize the unfolding process step by step:
    • Unfold the first layer: The cut-outs replicate on each side of the fold.
    • Continue unfolding: Each unfold mirrors previous patterns, maintaining overall symmetry.
  6. Examine the options given for how the unfolded paper would look:
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  7. The correct unfolded pattern must reflect the symmetrical arrangement observed in folding and cutting stages. The correct pattern shows consistent symmetry with even distribution of cut shapes both horizontally and vertically.

Based on the above analysis, the correct option is:

This option accurately represents a symmetrical, evenly distributed pattern when the folded and cut paper is unfolded.

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Important Questions from Paper Folding and Cutting

  1. The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?

  2. The sequence of folding a piece of paper and manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?

  3. The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?

  4. Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?

  5. If the transparent sheet is folded at the dotted line, then the resulting figure is

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