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Non-verbal Reasoning · Question 30 of 65

Aarav makes two folds in a square sheet, then punches it in two places.

Question 30

HardOriginal question

Aarav makes two folds in a square sheet, then punches it in two places. How many holes, and where, will he find when he unfolds it? Choose the figure.

A square sheet, thought of as a 4 by 4 grid: the right half is folded over onto the left half, then the bottom half is folded up onto the top half. 2 holes are then punched through the folded sheet, in the squares at (row, column) (1, 2), (2, 2) of the original sheet.
Options for question 30

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, 2), (2, 2), (3, 2), (4, 2) (row, column).

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

  4. Figure 4 shows these 8 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
110 s
Your time
—
The rule this testsPaper folding and punching
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