Visual reasoning is algorithmic. Treat each figure as a state and identify transformations: rotation, reflection, addition/removal, count change, shading, position movement or alternation.
Core Definitions
Figure series
Standard definition: A sequence of figures changing according to a visual rule.
Exam meaning: चित्रहरू rule अनुसार परिवर्तन हुँदै जाने क्रम।
Matrix reasoning
Standard definition: Finding a missing cell in a grid by row-wise, column-wise or combined visual rules.
Exam meaning: Grid मा row/column rule बुझेर missing figure निकाल्ने reasoning।
How To Think
Use the same debugging habit as programming. Define the state variables: shape, position, direction, count, shade and size. Then identify the transformation from one state to the next.
Common Visual Transformations
Most figure series use a small set of operations.
| Transformation | Meaning | How to detect |
|---|---|---|
| Rotation | Object turns by fixed angle | Arrow/direction changes |
| Reflection | Mirror flip | Left-right or top-bottom switch |
| Translation | Object moves position | Cell/location changes |
| Count change | Shapes increase/decrease | Number of objects changes |
| Shading | Black/white pattern changes | Fill alternates |
Matrix Logic
A matrix can use row rule, column rule or arithmetic count rule.
- Check each row left-to-right.
- Check each column top-to-bottom.
- Count elements and compare totals.
- Watch for superimposition: two figures combine to form third.
- For 3×3 matrix, missing cell often follows both row and column rule.
Formulas and Rules
- Rotation cycle: 90 degrees x 4 returns original.
- Opposite direction after 180 degrees.
- Symmetry can be vertical, horizontal or rotational.
- Matrix superimposition: cell3 = cell1 + cell2 or cell1 – cell2 visually.
Step-by-Step Method
- List visual variables: shape, count, shade, direction, position.
- Compare first two figures and state transformation.
- Check whether same transformation continues.
- For matrix, test rows, columns and diagonals.
- Reject options that satisfy only one variable.
Worked Examples
- If arrow rotates 90 degrees clockwise each step, after up comes right, down, left, up.
- If number of dots increases by one each cell, missing cell should continue count.
- If row third image is overlap of first two, combine visible components.
| Variable | Possible Rule | Trap |
|---|---|---|
| Direction | Rotation | Confusing clockwise/counterclockwise |
| Count | +1/-1 | Ignoring hidden repeated shape |
| Position | Movement path | Skipping alternate cells |
| Shade | Toggle fill | Choosing correct shape but wrong fill |
Exam Point
- State variables before choosing option.
- Matrix questions may combine two rules.
- Rotation and reflection are different.
- Option may match shape but fail shading/count.
Visual Practice
- Draw 90-degree rotation cycle.
- Practice 3×3 matrix row/column rules.
- Create shape-count-shade table.
- Sketch transformations instead of solving mentally.
Common Mistakes
- Looking only at shape.
- Ignoring fill/shading.
- Confusing mirror with rotation.
- Not checking row and column both.
MCQ Revision
- What is 180-degree rotation?
- What is vertical symmetry?
- What is matrix reasoning?
- What is superimposition?
- Why track visual variables?
Final Summary
- Visual reasoning is transformation detection.
- Track variables systematically.
- Matrix may use row, column or combined rule.
- Rotation, reflection and shading are common traps.