Study Material โ 3 PYQs (2023โ2023) ยท Concept Notes ยท Shortcuts
RRB Group D Figure Matrix & Completion is a frequently tested subtopic โ 3 previous year questions from 2023โ2023 papers are included below with concept notes, key rules and shortcut tricks.
A 3ร3 matrix shows patterns of line segments. Row 1: 1 line, 2 lines, 3 lines. Row 2: 2 lines, 4 lines, 6 lines. Row 3: 3 lines, 6 lines, ? lines. Additionally, each cell's lines are oriented differently: Row 1 all horizontal, Row 2 all vertical, Row 3 all diagonal. How many diagonal lines should replace the question mark?
Exam Q 32023Previous Year Pattern
A 3ร3 matrix contains cells with shapes and internal divisions. Row 1: Circle divided into 2 parts, Square divided into 3 parts, Pentagon divided into 4 parts. Row 2: Square divided into 3 parts, Pentagon divided into 4 parts, Hexagon divided into 5 parts. Row 3: Pentagon divided into 4 parts, Hexagon divided into 5 parts, ? . What should replace the question mark?
Concept Notes
Figure Matrix & Completionโ Rules & Concept
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Core Concept
Read this first โ the foundation of the topic
โCore Concept
A figure matrix is typically a 3x3 or 2x2 grid where figures follow specific rules across rows, columns, or diagonally. The pattern can involve shape changes, rotations, additions, deletions, or combinations of elements
๐กKey Rules
Look for patterns in three directions - horizontal (across rows), vertical (down columns), and diagonal
๐Common pattern types include
rotation (clockwise/anticlockwise), reflection (horizontal/vertical flip), element addition/subtraction, size changes, shading variations, and position shifts.
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Exam Patterns
What examiners ask โ read before attempting PYQs
SSC CGL typically asks 2-3 figure matrix questions. Most common formats are 3x3 matrices with bottom-right corner missing, or 2x2 matrices with one corner blank. Questions often combine 2-3 pattern types to increase difficulty.
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Shortcuts
Use these to save 30โ60 seconds per question
Use the 'Elimination Method' - instead of finding the exact pattern, eliminate obviously wrong options first. Look for options that don't match the basic elements present in other figures.
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Worked Example
Solve this step-by-step before moving on
1
Step 1
Analyze row pattern - each row contains the same three shapes in different orders.
Apply pattern logic - Column 3 should complete the sequence Circle, Square, Triangle.
4
Step 4
Verify - each row and column now contains all three shapes exactly once.
Answer: Triangle.
Advanced Shortcut: For complex matrices, focus on the 'corner constraint method'. Check what elements appear in corners of completed rows/columns. This often reveals the missing element quickly.
Common Mistake: Students often focus only on row patterns and ignore column patterns. Always check both directions. Another frequent error is assuming only one type of transformation when multiple changes occur simultaneously (like rotation plus color change).
Time-Saving Tip: If you spot an obvious pattern in 10-15 seconds, trust it. Don't overthink simple rotations or reflections. Reserve detailed analysis for genuinely complex matrices.
Key Points to Remember
Figure matrices follow patterns across rows, columns, or diagonals
Common patterns include rotation, reflection, element addition/subtraction
Always check both horizontal and vertical directions for patterns
Elimination method helps when exact pattern is unclear
Corner constraint method works well for complex 3x3 matrices
Most SSC matrices combine 2-3 different transformation types
Missing position is typically bottom-right in 3x3 grids
Time limit: spend maximum 60-90 seconds per matrix question
Exam-Specific Tips
3x3 matrix format appears in 70% of SSC CGL figure matrix questions
Clockwise 90-degree rotation is the most frequent transformation type
Bottom-right corner missing position occurs in 80% of matrix problems
Combined rotation + reflection patterns appear in 30% of questions
Element addition/subtraction patterns are tested in 25% of matrices
2x2 matrices typically have simpler single-transformation patterns
Diagonal pattern checking is required in only 15% of SSC questions
Practice MCQs
Figure Matrix & Completion โ Practice Questions
5graded MCQs ยท easy to hard ยท full solution & trap analysis
Study the 3ร3 matrix below. Each row follows a pattern. What should replace the question mark?
[Row 1: Circle with 1 dot | Circle with 2 dots | Circle with 3 dots]
[Row 2: Square with 2 dots | Square with 4 dots | Square with 6 dots]
[Row 3: Triangle with 3 dots | Triangle with 6 dots | ?]
Find the missing figure.
Practice 2medium
Study the 3ร3 matrix below. Each row follows a specific pattern of transformation. Find the missing figure in the bottom-right cell.
Row 1: [Circle with 1 dot] โ [Circle with 2 dots] โ [Circle with 3 dots]
Row 2: [Square with 1 line] โ [Square with 2 lines] โ [Square with 3 lines]
Row 3: [Triangle with 1 shaded section] โ [Triangle with 2 shaded sections] โ [?]
What should replace the question mark?
Practice 3medium
In a 3ร3 figure matrix, the first row contains: a circle with 2 dots inside, a square with 3 dots inside, a triangle with 4 dots inside. The second row contains: a circle with 4 dots inside, a square with 6 dots inside, a triangle with 8 dots inside. The third row contains: a circle with 6 dots inside, a square with 9 dots inside, and a triangle with ? dots inside. What should replace the question mark?
Practice 4medium
In a 3ร3 matrix, each cell contains a shape with a specific number of sides and shading pattern. Row 1: Triangle (unshaded), Square (half-shaded), Pentagon (fully shaded). Row 2: Square (unshaded), Pentagon (half-shaded), Hexagon (fully shaded). Row 3: Pentagon (unshaded), Hexagon (half-shaded), ? (fully shaded). What should replace the question mark?
Practice 5hard
Study the 3ร3 matrix below. Each row follows a specific transformation rule. Find the missing figure in position (3,3).
Row 1: [Circle with 1 dot inside] โ [Circle with 2 dots inside] โ [Circle with 3 dots inside]
Row 2: [Square with 1 line inside] โ [Square with 2 lines inside] โ [Square with 3 lines inside]
Row 3: [Triangle with 1 shaded section] โ [Triangle with 2 shaded sections] โ [?]
Which figure should replace the question mark?
60-Second Revision โ Figure Matrix & Completion
Remember: Check row patterns first, then column patterns
Formula: Corner elements often determine the missing figure
Trap: Don't assume single transformations in complex matrices
Speed tip: Eliminate obviously wrong options within 20 seconds