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RRB NTPC Figure Matrix & Completion

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This page covers RRB NTPC Figure Matrix & Completion with complete concept notes, 17 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Figure Matrix & Completion— Rules & Concept

Core ConceptRead this first — the foundation of the topic
Core 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

Key Rules

Look for patterns in three directions - horizontal (across rows), vertical (down columns), and diagonal

Common pattern types include

rotation (clockwise/anticlockwise), reflection (horizontal/vertical flip), element addition/subtraction, size changes, shading variations, and position shifts.

Exam PatternsWhat examiners ask — 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.

ShortcutsUse these to save 30–60 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.

Worked ExampleSolve this step-by-step before moving on
1
Step 1

Analyze row pattern - each row contains the same three shapes in different orders.

2
Step 2

Check column pattern - Column 1: Triangle, Circle, Square. Column 2: Square, Triangle, Circle. Column 3: Circle, Square, ?.

3
Step 3

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.

Exam TrapsCommon mistakes students make — avoid these

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 — Practice Questions

17graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

In the figure matrix below, a 3×3 grid contains 8 figures with one missing (marked as ?). Each row and column follows a specific pattern. Identify the missing figure. Row 1: [Circle with 1 dot] [Circle with 2 dots] [Circle with 3 dots] Row 2: [Square with 1 dot] [Square with 2 dots] [?] Row 3: [Triangle with 1 dot] [Triangle with 2 dots] [Triangle with 3 dots] What should replace the ?

Practice 2easy

In the following figure matrix, a pattern is followed in each row. Find the missing figure in place of the question mark. Row 1: Circle, Square, Triangle Row 2: Square, Triangle, Circle Row 3: Triangle, Circle, ? What should replace the question mark?

Practice 3easy

Observe the pattern in the 3×3 matrix: A, B, C D, E, F G, H, ? If the pattern follows alphabetical sequence filling row by row from left to right, what should replace the question mark?

Practice 4easy

Observe the pattern in the 3×3 matrix below: 2, 4, 6 8, 10, 12 14, 16, ? Which number should replace the question mark?

Practice 5easy

In the following 3×3 figure matrix, each row follows a pattern based on the number of sides of shapes. Identify the missing figure. Row 1: Triangle (3 sides), Square (4 sides), Pentagon (5 sides) Row 2: Square (4 sides), Pentagon (5 sides), Hexagon (6 sides) Row 3: Pentagon (5 sides), Hexagon (6 sides), ? What should replace the question mark?

Practice 6easy

In the following 3×3 figure matrix, shapes are arranged based on a specific rule. Find the missing figure. Row 1: ●●●, ●●●, ●●● Row 2: ●●, ●●, ●● Row 3: ●, ●, ? Each cell contains a certain number of dots. What should replace the question mark?

Practice 7medium

Study the 3×3 grid below. Each cell contains a shape with internal lines. Row 1: Triangle (0 internal lines), Square (1 internal line), Pentagon (2 internal lines). Row 2: Square (1 internal line), Pentagon (2 internal lines), Hexagon (3 internal lines). Row 3: Pentagon (2 internal lines), Hexagon (3 internal lines), ?. What replaces the question mark?

Practice 8medium

In the given 3×3 matrix, each row follows a pattern. The first row contains: Circle with 1 dot, Circle with 2 dots, Circle with 3 dots. The second row contains: Square with 2 dots, Square with 3 dots, Square with 4 dots. The third row contains: Triangle with 3 dots, Triangle with 4 dots, ?. What should replace the question mark?

Practice 9medium

In a 3×3 matrix, each cell contains overlapping circles and squares. Row 1: 1 circle + 1 square, 2 circles + 1 square, 3 circles + 1 square. Row 2: 1 circle + 2 squares, 2 circles + 2 squares, 3 circles + 2 squares. Row 3: 1 circle + 3 squares, 2 circles + 3 squares, ?. What should replace the question mark?

Practice 10medium

A 3×3 matrix contains shapes with shading patterns. Row 1: Unshaded circle, Half-shaded circle, Fully-shaded circle. Row 2: Unshaded square, Half-shaded square, Fully-shaded square. Row 3: Unshaded triangle, Half-shaded triangle, ?. What replaces the question mark?

Practice 11medium

In a 3×3 matrix, each cell contains a shape with a specific number of sides and a number inside it. Row 1: Triangle (3 sides, number 2), Square (4 sides, number 3), Pentagon (5 sides, number 4). Row 2: Square (4 sides, number 3), Pentagon (5 sides, number 4), Hexagon (6 sides, number 5). Row 3: Pentagon (5 sides, number 4), Hexagon (6 sides, number 5), ?. What replaces the question mark?

Practice 12medium

Study the figure matrix below. Each row follows a specific pattern of transformation. Find the missing figure in place of the question mark (?) [Row 1: Circle with 1 dot → Circle with 2 dots → Circle with 3 dots] [Row 2: Square with 1 line → Square with 2 lines → Square with 3 lines] [Row 3: Triangle with 1 dot → Triangle with 2 dots → ?] What should replace the question mark?

Practice 13hard

A 3×3 matrix shows shapes with line counts: (1,1)=Triangle with 3 lines, (1,2)=Square with 4 lines, (1,3)=Pentagon with 5 lines, (2,1)=Square with 4 lines, (2,2)=Pentagon with 5 lines, (2,3)=Hexagon with 6 lines, (3,1)=Pentagon with 5 lines, (3,2)=Hexagon with 6 lines, (3,3)=?. Each shape is rotated: (1,1)=0°, (1,2)=0°, (1,3)=0°, (2,1)=45°, (2,2)=45°, (2,3)=45°, (3,1)=90°, (3,2)=90°, (3,3)=?. What replaces the question mark?

Practice 14hard

A 3×3 matrix shows: Row 1: [Black square rotated 0°, Black square rotated 45°, Black square rotated 90°], Row 2: [White square rotated 0°, White square rotated 45°, ?], Row 3: [Gray square rotated 0°, Gray square rotated 45°, Gray square rotated 90°]. Each square has an internal line. What replaces the question mark?

Practice 15hard

In a 3×3 matrix, the first row contains: Circle with 2 dots, Square with 3 dots, Triangle with 4 dots. The second row contains: Pentagon with 5 dots, Hexagon with 6 dots, Heptagon with ?. The third row contains: Octagon with 8 dots, Nonagon with 9 dots, Decagon with 10 dots. What should replace the question mark?

Practice 16hard

In a 3×3 matrix: Row 1 has 1 shape, Row 2 has 2 shapes, Row 3 has 3 shapes. Column 1 has circles, Column 2 has triangles, Column 3 has squares. The shapes are filled as follows: (1,1)=filled circle, (1,2)=empty triangle, (1,3)=filled square, (2,1)=empty circle, (2,2)=filled triangle, (2,3)=empty square, (3,1)=filled circle, (3,2)=empty triangle, (3,3)=?. What replaces the question mark?

Practice 17hard

A 3×3 matrix displays: (1,1)=1 small circle inside 1 large square, (1,2)=2 small circles inside 1 large square, (1,3)=3 small circles inside 1 large square, (2,1)=1 small circle inside 2 large squares, (2,2)=2 small circles inside 2 large squares, (2,3)=3 small circles inside 2 large squares, (3,1)=1 small circle inside 3 large squares, (3,2)=2 small circles inside 3 large squares, (3,3)=?. What replaces the question mark?

60-Second Revision — 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
  • Pattern priority: Rotation > Reflection > Addition/Subtraction
  • Time strategy: 60 seconds max per matrix question
  • Final check: Verify answer maintains pattern consistency
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