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Pattern Folding Questions for SSC CGL

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Why this topic matters · 6 min read
Pattern Folding (also called Paper Folding) is a regular feature in SSC CGL Reasoning section, typically contributing 1-2 questions per tier. You are shown a flat sheet with a pattern of holes or cuts, which is then folded in steps. You must identify how the pattern looks when unfolded, OR you are shown a folded paper with a punch hole and must find the unfolded result. Speed and spatial visualization are tested. Questions are medium difficulty and can be solved fast with practice.

Understanding the Basics

A flat square or rectangular sheet of paper is folded once or twice along a dotted line. A hole is then punched through all layers. When unfolded, the hole appears at mirror-image positions on each layer. Your job is to find which answer option correctly shows all hole positions on the fully unfolded sheet. Think of it like folding a letter and poking a pin — every layer gets a hole at the exact mirror point of the punch.

  • Each fold creates a mirror image of the punched hole across the fold line
  • One fold produces 2 holes when unfolded, two folds produce 4 holes (doubling each time)
  • Fold line acts as a mirror or axis of reflection
  • The hole positions must be symmetric about every fold line
  • Sheet is always folded so one part overlaps exactly onto another
Key formulas
Number of holes after unfolding
Total holes = 2^n (where n = number of folds before punching)
When: Use this to quickly eliminate wrong answer options that show wrong number of holes
Worked examples

Square folded once along vertical center line, hole punched on right half at top-right corner. After unfolding: 2 holes appear — one at top-right and its mirror at top-left. If any option shows holes not symmetric about the vertical center, eliminate it.

Square folded first along horizontal center (top half folds onto bottom), then along vertical center (left half folds onto right), hole punched at bottom-right corner of the now quarter-size sheet. Unfolding step 1 (vertical): hole mirrors to bottom-left. Unfolding step 2 (horizontal): both bottom holes mirror to top. Final result: 4 holes at all four corners symmetrically.

Types of Fold Lines

SSC CGL uses three main fold line directions. Knowing each one and how reflection works across it saves crucial seconds in the exam. Always trace the fold line first before locating mirror positions.

  • Vertical fold (left-right): mirror the x-coordinate, y stays same
  • Horizontal fold (top-bottom): mirror the y-coordinate, x stays same
  • Diagonal fold (corner to corner): swap and mirror both x and y coordinates
  • Most SSC questions use vertical or horizontal folds — diagonal is rare but tricky
  • In each option, check symmetry first — wrong options almost always break symmetry

Step-by-Step Solving Method

Do not try to visualize all folds at once. Work backwards — start from the last fold and unfold one step at a time. At each step, reflect the existing holes across the fold line to get new holes. This reverse unfolding approach is faster and less error-prone than forward folding in your head.

  • Step 1: Count folds shown in the question — determines total holes in answer
  • Step 2: Identify each fold line direction (vertical, horizontal, diagonal)
  • Step 3: Start from the final folded state with the punched hole
  • Step 4: Unfold last fold first — reflect hole across that fold line
  • Step 5: Unfold second-to-last fold — reflect all current holes
  • Step 6: Match your final hole pattern with answer options

Quick Elimination Strategy

In SSC CGL where time pressure is real, elimination beats calculation. You can rule out 2-3 options within seconds without fully solving the problem. Check the number of holes first, then symmetry, then exact position only if needed.

  • Wrong hole count: eliminate immediately using the 2^n formula
  • Wrong symmetry: if holes are not symmetric about the fold line, eliminate
  • Holes outside boundary: if a reflected hole would fall outside the sheet, that option is wrong
  • Position check: the original punched hole must appear in the answer
  • In most SSC questions, 2-3 options fail the symmetry check — only 1 survives
⚠ Common mistakes to avoid
  • Forgetting that BOTH layers get a hole — students often mark only one hole for a single fold instead of two
  • Reflecting across the wrong axis — confusing vertical fold (left-right mirror) with horizontal fold (top-bottom mirror)
  • Not working backwards: trying to mentally fold forward creates confusion; always unfold from last step to first
  • Placing the reflected hole on the same side as the original instead of the opposite side across the fold line
  • Assuming diagonal folds behave like vertical or horizontal ones — diagonal folds require swapping both coordinates, not just one
🧠 Memory aids
  • FOLD = MIRROR: Every fold line is just a mirror. Whatever is on one side appears flipped on the other. Say to yourself fold equals mirror before each question.
  • Count before you solve: 1 fold gives 2 holes, 2 folds give 4 holes, 3 folds give 8 holes. Write 2^n in your rough work to instantly kill wrong options.
  • Peel the onion backwards: just like peeling an onion from outside, unfold from the last fold to the first. Never go forward.
  • The pin always lands on the unfolded sheet too: the original punched position must appear in every correct answer. If you see an option without the original hole location, it is wrong.
🎯 SSC CGL exam tips
  • SSC CGL typically shows 1 to 2 paper folding questions per Tier 1 attempt. These appear in the non-verbal reasoning cluster alongside mirror images and water images.
  • Questions almost always use a square sheet with 1 or 2 folds only. Three-fold questions are rare but have appeared in Tier 2.
  • The fold is always shown as a dotted line in the diagram. The direction of folding (which part folds onto which) is shown by an arrow — read the arrow carefully before reflecting.
  • Target time per question: 30 to 45 seconds. If you cannot visualize quickly, use elimination — it is almost always faster than mental folding.
  • Recent CGL papers (2023-2024) have increased use of diagonal fold variants, so practice at least 5-7 diagonal fold questions separately to avoid surprises.

Sample questions

Q1 · hard · AI-verified
A square sheet of paper is folded along its diagonal, then the resulting triangle is folded in half again. Two circular holes are punched through all layers near the center. When the paper is completely unfolded, how many holes will be visible?
  1. 8 holes
  2. 2 holes
  3. 6 holes
  4. 4 holes
Q2 · medium · AI-verified
A square paper is folded once diagonally so that the bottom-right corner meets the top-left corner. A circular hole is punched near the right angle of the folded triangle. How many holes appear when the paper is unfolded?
  1. 3 holes
  2. 2 holes
  3. 4 holes
  4. 1 hole
Q3 · hard · AI-verified
A square sheet is folded: Step 1 – fold along vertical center (right over left); Step 2 – fold along horizontal center (top over bottom); Step 3 – fold along the diagonal of the resulting square. One hole is punched through all layers. How many holes appear when fully unfolded?
  1. 8 holes
  2. 6 holes
  3. 4 holes
  4. 16 holes
Q4 · hard · AI-verified
A square paper is folded along its horizontal centre line (bottom half up), then folded along its vertical centre line (right half over left). Two straight cuts are made: one cut from the top-left corner to the bottom-right corner of the folded piece (a diagonal cut), removing the top-left triangle. How many separate pieces result when the paper is fully unfolded?
  1. 4 pieces
  2. 6 pieces
  3. 3 pieces
  4. 5 pieces
Q5 · medium · AI-verified
A square paper is folded in half vertically (left over right), and then folded in half horizontally (top over bottom). A hole is punched at the top-right corner of the folded paper. How many holes will appear when the paper is completely unfolded?
  1. 4 holes
  2. 8 holes
  3. 1 hole
  4. 2 holes
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