We’ve now covered Series Problems, Analogy Problems, Classification, Analytical Reasoning, Mirror Images, Embedded Images, Pattern Completion, Figure Matrix, and Paper Folding in this Non-Verbal Reasoning series. Paper Cutting is the natural next step, because it builds directly on what you learned about folds. A sheet is folded, a piece is cut out of the folded packet, and then you’re asked what the paper looks like once it’s opened up. Many students find this topic intimidating at first, but after training IBPS, SBI, SSC, and Railway aspirants for years, I can tell you that it’s one of the most logical topics in the entire section. Every cut on the folded packet is copied onto each layer, and each layer maps back onto the original sheet in a predictable way. Once you master that mapping, paper cutting becomes a reliable source of marks rather than a guessing game.

1. Understand What Paper Cutting Tests

Paper Cutting questions show a square or rectangular sheet that is folded one or more times, after which a shape is cut or punched from the folded packet. You’re then asked how many cut-outs appear, what shape they take, or which picture matches the opened sheet.

The skill tested:

• Understanding that a cut on the packet is repeated on every layer
• Mapping each cut back to the original sheet through the folds
• Recognizing when cuts combine into one shape and when they remain separate
• Using symmetry to predict the opened pattern
• Visualizing the final shape without losing track of positions

Basic structure:

• Folding sequence: Usually one or two folds, sometimes a diagonal fold
• Cut type: A triangle at a corner, a semicircle on an edge, or a small square in the middle
• Answer format: A count of cut-outs or holes, or a choice of opened diagrams
• Task: Determine the result after the sheet is fully unfolded

This structured approach turns a visual challenge into a clear process.

2. Count the Layers and Note Where the Cut Lands

Start by counting layers. One fold creates two layers, and two folds create four. Each layer corresponds to a different region of the original sheet, so a cut through the packet produces one copy of the cut on each layer.

Then identify exactly where the cut sits on the packet. Does it touch a free edge, a crease, or the point where two creases meet? This single observation decides almost everything else. A cut on a free edge or corner produces separate copies on the opened sheet, while a cut on a crease merges across layers into one symmetric shape.

Write both pieces of information down before reading the answer options: the number of layers and the location of the cut. These two facts usually narrow the answer to one or two possibilities immediately.

3. Use Corners as the Easiest Starting Point

Corner cuts are the most common type in competitive exams, and they’re also the easiest to master. When you fold a square in half once, the packet has two free corners and two corners that sit on the fold. A triangle cut from one of the free corners removes a corner from each layer, so the opened sheet shows two notches, one at each of the two original corners that belong to that free position.

When you fold twice, the packet has four layers and only one free corner, the outer corner opposite the centre. A triangle cut there produces four notches, one at each corner of the opened sheet. The count of notches always equals the number of layers that share that free corner.

Corner cuts are a useful anchor. If you can count notches reliably for corners, you can extend the same reasoning to edges and centres.

4. Handle Cuts Along a Fold Carefully

A cut that touches a crease behaves differently. Because the layers are joined at the crease, cutting across it removes the same region from both halves at once. A semicircle cut out of the middle of a folded edge, for example, opens up into a complete circle centred on the fold line.

This is a common exam pattern. Students often count the cut as two separate shapes because they see two layers, but the layers are connected at the crease, so the opened result is a single shape symmetric about the fold line. Always ask whether the cut passes through a crease before counting copies.

The rule of thumb is simple: cuts on free edges and corners multiply, while cuts on creases merge into symmetric shapes.

5. Recognize the Centre Cut

When two creases meet, that corner represents the exact centre of the original sheet. Every layer passes through this point, so a cut made at that corner removes the same central region from all layers at once.

After unfolding, the cuts from each layer combine around the centre. A small triangle cut at the centre corner of a twice-folded square opens into one central shape, such as a small square or diamond, with symmetric points arranged around the middle. Only one cut-out appears, because all layers share the centre.

Recognizing the centre cut prevents a very common error, which is counting four separate holes when the layers actually overlap at one point.

6. Use Symmetry to Check Your Answer

Folding creates mirror symmetry, and cutting preserves it. Every cut-out on the opened sheet has a mirror image across each crease, so the final pattern must be symmetric in the same directions as the folds.

For a single vertical fold, the opened pattern is symmetric about the vertical centre line. For two perpendicular folds, the pattern is symmetric in both directions. A diagonal fold produces symmetry about the diagonal.

Use symmetry as a verification step. If your predicted pattern breaks the symmetry the folds require, recheck your reflections before selecting an answer. Options that look attractive but break symmetry are frequently distractors.

7. Work With Diagonal Folds

Diagonal folds change the shape of the packet into a triangle with two layers. The crease is the diagonal, and each point reflects across that diagonal rather than across a side.

When a triangular corner of the packet is cut, the right-angle corner of the triangle is a free corner. On a diagonally folded square, that free corner represents two different original corners, one on each layer. Cutting it therefore produces two notches on the opened square, positioned at two adjacent corners of the original sheet.

The key discipline is to reflect across the correct crease at each step. Students who habitually reflect across a side rather than the diagonal often produce the wrong count or the wrong position.

8. Avoid the Common Traps

Several traps appear again and again in paper cutting questions.

The first trap is counting every layer as a separate cut-out when the cut lies on a crease. A semicircle on a fold opens into one circle, not two.

The second trap is ignoring overlap at the centre. A cut at the point where creases meet produces one shape, not one per layer.

The third trap is misreading the orientation. Answer options often show the opened sheet flipped or rotated. Compare the arrangement of cut-outs relative to the sheet’s edges, not just the shapes themselves.

The fourth trap is choosing the most symmetric-looking option without checking positions. Symmetric distractors that place the cut-outs at the wrong corners or edges are common, so always verify each position against your reflection sketch.

9. Use Elimination When the Sequence Is Long

When a question combines three folds or several cuts, the full mental reversal can slow you down. Use elimination in that case. Count the layers and the cuts first, then compare the answer options against that count. An option showing more cut-outs than layers allow, or a shape that cannot result from the cut type, can be eliminated immediately.

Next, check symmetry. Options that break the symmetry the folds predict are usually wrong. Often two plausible options remain, and reflecting one cut through the crease lines settles the question quickly.

This method keeps you from spending a full minute on one question while still giving you a reasoned answer rather than a random guess.

10. Time Management and Exam Strategy for Paper Cutting

Simple questions with one fold and a single corner cut typically take 20 to 30 seconds once you’re comfortable with the method. Questions with two folds, a crease cut, or a diagonal fold can take 45 to 75 seconds.

Strategic timing:

• Spend 5 seconds counting the layers and noting the fold types
• Spend 10 to 15 seconds identifying where each cut lands: free edge, crease, corner, or centre
• Spend 10 to 20 seconds reflecting the cuts back onto the original sheet
• Spend 5 to 10 seconds matching your result to the answer options

If a question seems to need more than a minute, switch to elimination. Accuracy within a reasonable time is the goal, not a perfect mental animation of every cut.

Key habit: practise with a real sheet of paper. Folding, cutting, and opening a few sheets builds a physical sense of mirror positions that reading alone cannot provide. After a few sessions, the reflections start to happen automatically.

How Team OdTutor Strengthens This Skill

Paper cutting rewards a clear method and regular practice, and both develop fastest through guided work with real exam examples. At OdTutor, our teachers walk you through layer counting and cut mapping on exam-style problems, help you build speed in classifying cuts as free-edge, crease, corner, or centre, and give you personalized feedback on whether your errors come from miscounting layers, misreading crease cuts, or hasty elimination. With that support, paper cutting becomes another dependable scoring area in your reasoning section.

Quick Practice Quiz

Here’s a short interactive quiz to test these techniques. Five Paper Cutting questions covering corner cuts, centre cuts, crease cuts, and diagonal folds.