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Non-verbal Reasoning · Question 32 of 65

Lalremsiami folds a square notice twice and punches two holes to pin it up.

Question 32

HardOriginal question

Lalremsiami folds a square notice twice and punches two holes to pin it up. Which figure shows the holes in the notice when it is flat?

A square sheet, thought of as a 4 by 4 grid: the bottom half is folded up onto the top half, then the right half is folded over onto the left half. 2 holes are then punched through the folded sheet, in the squares at (row, column) (1, 2), (2, 1) of the original sheet.
Options for question 32

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

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

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

  4. Figure 2 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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