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Question

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

The correct answer is

When solving paper folding and cutting problems, it's essential to visualize both the fold and any cuts made. We'll start by analyzing the folds and cuts in the given image and then determine the resultant pattern when the paper is unfolded.

  1. First, notice that the paper is folded diagonally, forming a triangular shape. This is indicated by the arrow showing the direction of the fold.
  2. Next, observe the cuts at the base of the folded triangle. These cuts will mirror symmetrically on the unfolding of the paper.

Once we unfold the paper, the symmetry created by these actions results in a pattern that mirrors along both the diagonal fold line.

Let's analyze each option to determine which image correctly displays this pattern:

  • Option 1: Incorrect symmetry or positioning.
  • Option 2: Matches the expected pattern upon unfolding with perfect symmetry.
  • Option 3: Incorrect cut representation.
  • Option 4: Incorrect reflection and alignment.

Therefore, the correct representation of the unfolded paper is given by the following image:

This option accurately reflects the symmetry and positions of the cuts when the paper is completely unfolded. Such questions emphasize spatial reasoning and visualization skills.

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Important Questions from Folding and Completion

  1. Select the option in which the given figure is embedded (rotation is NOT allowed).

  2. A square sheet of paper is folded along the dotted line successively along the directions shown and is then punched in the last as shown. How would the paper look when unfolded?

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

  4. 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?

  5. Select the number that will come in the place of the question mark(?), if ‘+’ and ‘ – ‘ are interchanged and ‘×’ and ‘÷’ are interchanged 

    93 – 7 ÷ 65 × 13 + 34 = ?

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