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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?

Paper folded twice along dashed lines and then cut with a small figure shaped hole

  • A.Square with four small round figures with ears at the top, left, right and bottom, version one
  • B.Square with four small round figures with ears at the top, left, right and bottom, version two with the right figure turned sideways
  • C.Square with four small round figures with ears at the top, left, right and bottom, version three with the top figure upside down
  • D.Square with four small round figures with ears at the top, left, right and bottom, version four

Answer: C

The unfolded paper looks like option 3.

The folds and cut are the same as in the previous question with a small figure in place of the bow-tie. Unfolding reflects the cut across each fold line, so four copies appear round the centre of the sheet, the upper and lower ones facing each other and the left and right ones facing each other. Option 3 shows the four copies placed and turned in that way.

Options 1, 2 and 4 turn one or more of the copies the wrong way, which a reflection cannot do.

The same method works here as in the previous question. Open the last fold to get two mirror images of the cut, and then open the first fold to get four. The copies lie near the centre because the cut was made at the folded point. Only option 3 shows the four copies mirrored correctly.

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