Why this topic matters · 8 min read
Non-Verbal Reasoning appears regularly in the SSC GD Reasoning section, typically 4 to 7 questions per paper. Questions test your ability to see patterns in shapes, figures, and images without using words or numbers. Common question types include mirror images, water images, figure completion, paper folding, counting figures, and series completion with shapes. These are scoring questions if you practice the visual logic behind them.
Mirror Image
A mirror image is what you see when a figure is placed in front of a vertical mirror. The left and right sides flip, but top and bottom stay the same. Think of it like waving your right hand in front of a mirror — the reflection raises its left hand. For letters and numbers, only horizontal flip matters for a vertical mirror.
- Vertical mirror: Left becomes Right, Top and Bottom stay same
- Horizontal mirror (water image): Top becomes Bottom, Left and Right stay same
- For clocks: if original shows 3:00, mirror image shows 9:00 — use formula 11:60 minus original time
- Letters that look same in mirror: A, H, I, M, O, T, U, V, W, X, Y
- Numbers that look same in mirror: 0, 1, 8
- Always check the direction of asymmetric parts like arrows or tails of letters
Key formulas
Mirror Time Formula
Mirror Time = 11 hours 60 minutes minus Original Time
When: Use when a clock face is shown and you need to find mirror image time
Water Image
Water image is the reflection when a figure is placed above a horizontal surface like water. The top flips to bottom. Imagine holding a paper and dipping it face-down in water — the image you see from below is the water image. Unlike mirror images, left and right are unchanged.
- Top becomes Bottom, Left and Right stay the same
- Water image is always upside down compared to original
- For clocks: Water image formula = 17 hours 60 minutes minus original time
- Letters that look same in water image: B, C, D, E, K
- Do not confuse water image with mirror image — a common exam trap
- Water image + Mirror image together = 180 degree rotation of original
Key formulas
Water Image Time Formula
Water Image Time = 17 hours 60 minutes minus Original Time
When: Use when a clock face is shown and you need water image time
Figure Series and Analogy
In figure series, a set of shapes changes in a pattern and you have to find the next figure. Changes can be in rotation, size, shading, number of sides, or position of elements. In figure analogy, two figures share a relationship and you apply the same relationship to a third figure to find the fourth.
- Look for changes in: rotation angle, shading pattern, number of elements, size
- Common rotation angles: 45, 90, 135, 180 degrees clockwise or anticlockwise
- If an element disappears in one step, it usually reappears two steps later
- In analogy questions, identify the exact transformation and apply it consistently
- Eliminate options by checking the easiest visible change first
- Arrow direction, dot position, and line style are frequent distinguishing clues
Paper Folding and Cutting
A square paper is folded once or twice and a hole is punched. You have to find how the paper looks when unfolded. The key idea is that every fold creates a mirror copy of the punch. So one fold gives 2 holes, two folds give 4 holes, all symmetric about fold lines.
- One fold means 2 holes when unfolded, two folds mean 4 holes
- Holes are always symmetric about the fold line
- Trace the fold line carefully — fold direction determines which side mirrors which
- In cutting questions, visualize the shape that opens up when paper unfolds
- Practice by actually folding a paper once — this builds lasting visual memory
- SSC GD usually tests single fold, rarely double fold
Counting Figures (Triangles, Squares, Rectangles)
A complex figure is drawn and you are asked how many triangles or squares are hidden inside it. The trick is to count systematically: first count the smallest units, then combinations of 2 units, then 3 units, and so on. Using a formula saves time.
- For a triangle divided by n lines from one vertex: total triangles = n(n+2)(2n+1) divided by 8 — only for specific standard figures
- Count in order: single, double, triple combinations — do not skip
- Mark each figure as you count to avoid double counting
- For squares in an n by n grid: total squares = sum of squares from 1 to n = n(n+1)(2n+1) divided by 6
- Rectangles in an n by m grid: total = nC2 times mC2
- Triangles inside a triangle with n divisions per side: use n(n+2)(2n+1) divided by 8
Key formulas
Squares in n x n grid
Total squares = n(n+1)(2n+1) divided by 6
When: When a square grid is given and you need total squares of all sizes
Triangles in triangle with n rows
Total triangles = n(n+2)(2n+1) divided by 8
When: Standard equilateral triangle divided into n rows of smaller triangles
Embedded Figures and Figure Completion
In embedded figures, a small shape is hidden inside a larger complex figure and you must identify which option contains the small shape. In figure completion, one part of a figure is missing and you choose which piece fits correctly to complete it.
- Rotate the small figure mentally — it can appear in any orientation inside the larger figure
- Trace the outline of the small figure over the large figure segment by segment
- In completion questions, check edges and corners for exact matching
- The correct piece must match in size, angle, and direction
- Eliminate options that have extra lines or wrong shading
- Spend max 30 seconds per question — move on if stuck
⚠ Common mistakes to avoid
- Confusing mirror image with water image — mirror flips left-right, water flips top-bottom. Many students mix these up under time pressure.
- Using the mirror clock formula for water image or vice versa — remember Mirror uses 11:60 and Water uses 17:60.
- In paper folding, forgetting that a fold on the right means the hole mirrors to the left side, not the same side.
- In counting figures, counting only the smallest units and missing the larger combinations — always count in layers.
- In figure series, focusing only on shape and ignoring shading or dot position, which is often where the real pattern hides.
🧠 Memory aids
- Mirror vs Water: M comes before W in alphabet, Mirror = Left-Right flip (horizontal change), Water = Up-Down flip (vertical change). M for side, W for wave below.
- Clock mirror trick: ELEVEN SIXTY minus time. Clock water trick: SEVENTEEN SIXTY minus time. 11 for mirror, 17 for water — 17 is bigger like water is deeper.
- Paper fold rule: FOLD ONCE = DOUBLE HOLES, FOLD TWICE = FOUR HOLES. Think of it as folding a bedsheet — each fold doubles the layers.
- Counting triangles mnemonic: SMALL then MEDIUM then LARGE — always go S-M-L like a T-shirt size order.
🎯 SSC GD exam tips
- SSC GD typically asks 4 to 6 non-verbal questions in Reasoning. Mirror image and figure series are the most repeated — practice these first for maximum return.
- Mirror and water image questions are straightforward and take under 30 seconds each if formula is memorized. Do not spend more time than this.
- Paper folding questions are slightly tricky — if you cannot visualize within 30 seconds, mark and return. Do not let one question eat 2 minutes.
- Counting figures questions appear once per paper usually. Use the formula directly for standard grids — do not count manually under exam pressure.
- In recent SSC GD papers, embedded figures and figure completion have increased slightly. Practice spotting shapes at different orientations as a daily drill for 5 minutes.
Q1 · hard · AI-verified
In a sequence of figures showing a clock, if the hour hand moves 3 hours forward and minute hand moves 15 minutes backward each step, and it starts at 12:00, what time is shown after 4 steps?
- 11:00
- 12:00
- 1:00
- 11:45
Q2 · hard · AI-verified
A net of a cube shows 6 faces with symbols: ★, ●, ▲, ♦, ■, ✚. If ★ is on top and ● is facing you, which symbol is on the bottom?
- ▲
- ♦
- ■
- ✚
Q3 · hard · AI-verified
If a mirror is placed vertically on the right side of the figure 'P9E', what will be the mirror image?
- Ǝ6Ꭾ
- E6P
- Ǝ6q
- E9P
Q4 · hard · AI-verified
A cube is painted red on all faces and then cut into 64 smaller cubes of equal size. How many small cubes will have exactly two faces painted?
- 28
- 20
- 16
- 24
Q5 · hard · AI-verified
In a 4×4 grid, if you start from top-left corner and can only move right or down, visiting each cell exactly once, and must end at bottom-right corner, how many different paths are possible?
- 16
- 20
- 24
- 28