Non-Verbal Reasoning – Figure Matrix (2×2 & 3×3 Matrix Concept)
Figure Matrix is an important topic in Non-Verbal Reasoning commonly found in SSC, UPSC, GATE, Banking, and other competitive exams.
1. What is a Figure Matrix?
A figure matrix is a set of images arranged in a 2×2 or 3×3 grid where you must find the missing figure by identifying a pattern.
- The rows and columns follow a specific rule (rotation, size change, mirror image, number of elements, etc.).
- The missing figure must complete the logical pattern.
2. Types of Figure Matrices
(A) 2×2 Figure Matrix
Example:
The pattern follows A is related to B in the same way C is related to the missing figure.
Identify the logic (e.g., rotation, reflection, shape change, shading, etc.).
(B) 3×3 Figure Matrix
Example:
Here, each row and column follows a specific transformation rule.
The missing figure (?) should follow the same pattern as others.
3. Common Patterns in Figure Matrices
Rotation: Figures rotate by 90°, 180°, or 270°.
Reflection: Mirror image or water reflection is used.
Size Change: The shape may increase or decrease in size.
Addition/Removal of Elements: New elements are added or removed.
Shading Pattern: Figures may get shaded in a systematic way.
Mathematical Shape Patterns: Each shape follows an arithmetic rule.
4. Solving Strategy for Figure Matrix Problems
Step 1: Look at the given figures and identify patterns.
Step 2: Compare row-wise and column-wise to find relationships.
Step 3: Check for rotation, reflection, symmetry, or transformation.
Step 4: Apply the same pattern to find the missing figure.
5. Example Questions & Solutions
Example 1: 2×2 Figure Matrix
Solution: The triangle flips upside-down (
→
), so the circle should also flip. Since a circle is symmetric, the missing figure is
itself.
Example 2: 3×3 Figure Matrix
Solution: The pattern alternates between white (
) and black (
) squares. The missing figure must be black (
) to maintain the sequence.
Final Tips for Competitive Exams
Practice different patterns – Solve at least 50 figure matrix questions before your exam.
Identify transformation types – Rotation, reflection, shading, etc.
Eliminate incorrect options – Use logic to remove wrong choices.
Practice with previous year questions – SSC, UPSC, and Bank exams often repeat question styles.
Would you like practice questions or step-by-step explanations for tricky problems?