Non Verbal Reasoning – Figure matrix – Concept of 2 2 matrix and 3 3 matrix.

Non Verbal Reasoning – Figure matrix – Concept of 2 2 matrix and 3 3 matrix.



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 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:

[ A → B ]
[ C → ? ]

 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:

[ A B C ]
[ D E F ]
[ G H ? ]

 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?

Non Verbal Reasoning – Figure matrix – Concept of 2 2 matrix and 3 3 matrix.



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