DAT Quiz: Predict Locations On Unfolded Objects
20 questions · exam conditions
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Predict Locations On Unfolded ObjectsQuestion 1 of 20

A flat square of paper is folded as shown in the image. The broken lines indicate the original position of the paper, and the solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the answer for which the black dots represent holes in the unfolded paper.

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DAT Quiz

DAT Quiz: Predict Locations On Unfolded Objects

Practice Predict Locations On Unfolded Objects in DAT with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Predict Locations On Unfolded Objects, giving you a quick way to practice the rules, question types, and explanations that matter most for DAT.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A flat square of paper is folded as shown in the image. The broken lines indicate the original position of the paper, and the solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the answer for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C
  4. D
  5. E (correct answer)
Explanation: Two perpendicular half-folds = 4 layers. Produces 4 holes symmetric about both midlines.

Question 2

A flat square of paper is folded as shown. The broken lines indicate the original position of the paper, and the solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the answer for which the black dots represent holes in the unfolded paper.

  1. A
  2. B (correct answer)
  3. C
  4. D
  5. E
Explanation: One half-fold = 2 layers. The hole unfolds to 2 holes at the bottom-left and bottom-right of the original paper.

Question 3

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original paper.

Choose the answer for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C (correct answer)
  4. D
  5. E
Explanation: Single diagonal fold = 2 layers. Unfolds to 2 holes diagonally opposite.

Question 4

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Choose the answer for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C (correct answer)
  4. D
  5. E
Explanation: 4 layers; a corner punch through 4 layers produces holes at all 4 corners of the original paper.

Question 5

A flat square of paper is folded as shown. The broken lines indicate the original position of the paper, and the solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the answer that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A (correct answer)
  2. B
  3. C
  4. D
  5. E
Explanation: 4 layers. Unfolds with symmetry across both the main diagonal and the triangle's median — a rotationally-related pattern.

Question 6

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Choose the answer that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C
  4. D
  5. E (correct answer)
Explanation: 8 layers. The punch unfolds to 8 holes with symmetry across the vertical midline, horizontal midline, AND the third fold line (y=0.75).

Question 7

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Select the answer that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B (correct answer)
  3. C
  4. D
  5. E
Explanation: Two halvings → 4 layers; diagonal fold → 8 layers. Unfolds to 4 holes with symmetry across both midlines and the anti-diagonal.

Question 8

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C (correct answer)
  4. D
  5. E
Explanation: Corner-fold creates extra layers in the lower-left. Subsequent halvings produce an asymmetric 5-hole pattern — central 2×2 plus one extra hole in the corner.

Question 9

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C
  4. D
  5. E (correct answer)
Explanation: A halving + a corner-fold on the folded rectangle + another halving. Produces 4 holes in a distinct central 2×2 pattern.

Question 10

A flat square of paper is folded as shown. The broken lines indicate the original position of the paper, and the solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C
  4. D (correct answer)
  5. E
Explanation: Diagonal fold (2 layers) + median fold (4 layers). Unfolds to 4 holes in a rotationally-arranged pattern — symmetric across both the main diagonal and the median.

Question 11

A flat square of paper is folded as shown in the image. The broken lines indicate the original position of the paper, and the solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C
  4. D
  5. E (correct answer)
Explanation: 8 layers; a corner punch produces 8 holes in two vertical columns — symmetric across the vertical midline, horizontal midline, AND the third fold line at y=0.25.

Question 12

A flat square of paper is folded as pictured. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A (correct answer)
  2. B
  3. C
  4. D
  5. E
Explanation: Single half-fold = 2 layers. Unfolds to 2 holes mirrored across the horizontal midline.

Question 13

A flat square of paper is folded as pictured. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never twisted or turned. The folded paper always remains within the edges of its original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B (correct answer)
  3. C
  4. D
  5. E
Explanation: Single anti-diagonal fold = 2 layers. Unfolds to 2 holes mirrored across y = 1 − x.

Question 14

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Identify the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C
  4. D (correct answer)
  5. E
Explanation: Two opposing corner-folds + a halving. Produces a 3-hole pattern invariant under 180° rotation — pretty to look at, hard to predict.

Question 15

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never twisted or turned. The folded paper always remains within the edges of its original square. After the final fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C (correct answer)
  4. D
  5. E
Explanation: Corner-fold creates extra layers only in the upper-left; subsequent halvings redistribute them. Produces an asymmetric 5-hole pattern.

Question 16

A flat square of paper is folded as pictured. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never twisted or turned. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C
  4. D (correct answer)
  5. E
Explanation: Two half-folds = 4 layers. Produces 4 holes symmetric across both midlines.

Question 17

A flat square of paper is folded as pictured. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never twisted or turned. The folded paper always remains within the edges of its original square. After the final fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the unfolded paper.

Choose the letter that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C
  4. D
  5. E (correct answer)
Explanation: 8 layers. Unfolds to an 8-hole "corners + center" pattern (complement of Q10's ring pattern) — symmetric across both midlines and the anti-diagonal.

Question 18

A flat square of paper is folded as shown in the image. The broken lines indicate the original position of the paper, and the solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the answer that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B (correct answer)
  3. C
  4. D
  5. E
Explanation: The small corner-fold creates a 2-layer region in the top-right; subsequent halvings multiply it. The punch lands where the corner-fold layers overlap the quarter-fold layers, producing an asymmetric 5-hole pattern (a giveaway pattern only a careful solver notices).

Question 19

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the answer that corresponds to the image for which the black dots represent holes in the unfolded paper.

  1. A
  2. B
  3. C (correct answer)
  4. D
  5. E
Explanation: 8 layers. Unfolds to 8 holes with symmetry across both midlines plus the main diagonal — the classic "frame" pattern.

Question 20

A flat square of paper is folded as shown. Broken lines indicate the original position of the paper, and solid lines indicate the position of the folded paper. The paper is never turned or twisted. The folded paper always remains within the edges of the original square. After the last fold, a hole is punched in the paper. Your task is to mentally unfold the paper and determine the position of the holes on the original square. Choose the pattern of black circles that indicates the position of the holes on the original square.

Choose the answer for which the black dots represent holes in the unfolded paper.

  1. A (correct answer)
  2. B
  3. C
  4. D
  5. E
Explanation: 4 layers; unfolds to 4 holes in the outer columns of the two inner rows.