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Non-verbal Reasoning · Question 25 of 65

Two folds reduce a square page to a quarter of its size, and one hole is then punched.

Question 25

MediumOriginal question

Two folds reduce a square page to a quarter of its size, and one hole is then punched. When the page is opened out completely, which figure does it resemble?

A square sheet, thought of as a 4 by 4 grid: the left half is folded over onto the right half, then the bottom half is folded up onto the top half. One hole is then punched through the folded sheet, in the square at (row, column) (1, 3) of the original sheet.
Options for question 25

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Open the folds in reverse order. Opening a fold adds the mirror image of every hole across that fold line, because each hole went through both layers.

  2. Opening step 2 (the horizontal fold) gives holes at (1, 3), (4, 3) (row, column).

  3. Opening step 1 (the vertical fold) gives holes at (1, 2), (1, 3), (4, 2), (4, 3) (row, column).

  4. Figure 4 shows these 4 holes.

Worth noting

The folded sheet has 4 layers, so each punch makes 4 holes. A figure with fewer holes has left a fold closed; one with the right number in the wrong places has opened a fold about the wrong line.

Concept
Unfolding a punched sheet: reflect the holes across each fold line
Typical time
70 s
Your time
—
The rule this testsPaper folding and punching
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