Question 1

Study the 3×3 figure matrix where each cell contains shapes with varying numbers of elements:

Row 1: 1 Circle, 2 Squares, 3 Triangles
Row 2: 2 Circles, 3 Squares, 4 Triangles
Row 3: 3 Circles, 4 Squares, ?

What should replace the question mark?

Accepted Answer

The pattern shows that the number of shapes increases by 1 as you move right in each row, and increases by 1 as you move down in each column. Position (3,3) should contain 5 Triangles. The formula is: number of shapes = row number + column number.

Question 2

In the figure matrix below, a pattern is formed across three rows. The first row contains: Circle, Square, Triangle. The second row contains: Square, Triangle, Circle. The third row contains: Triangle, Circle, ?. What should replace the question mark?

A) Square
B) Circle
C) Triangle
D) Pentagon

Accepted Answer

Each row and each column contains all three shapes exactly once (Latin Square principle). Row 3 has Triangle and Circle, missing Square. Column 3 has Triangle and Circle, missing Square. Therefore, the answer is Square.

Question 3

Study the 3×3 figure matrix. Each cell contains a shape with a specific number of sides:

Row 1: Triangle (3), Square (4), Pentagon (5)
Row 2: Square (4), Pentagon (5), Hexagon (6)
Row 3: Pentagon (5), Hexagon (6), ?

What should replace the question mark?

Accepted Answer

The pattern increases by 1 side as you move right in each row, and increases by 1 side as you move down in each column. Row 3, Column 3 should have 7 sides (Heptagon). Following the diagonal pattern: each position (i,j) has (i+j+1) sides. Position (3,3) = 3+3+1 = 7 sides.

Question 4

In the figure matrix below, shapes are arranged in a pattern based on rotation:

Row 1: Triangle pointing UP, Square (no rotation), Pentagon pointing UP
Row 2: Triangle pointing RIGHT, Square (no rotation), Pentagon pointing RIGHT
Row 3: Triangle pointing DOWN, Square (no rotation), ?

What should replace the question mark?

Accepted Answer

The pattern shows that Triangles and Pentagons rotate by 90° as you move down rows (UP → RIGHT → DOWN), while Squares remain unchanged. In Row 3, Column 3, the Pentagon should be pointing DOWN.

Question 5

Study the 3×3 matrix where each cell contains a shape with a specific shading pattern:

Row 1: Unshaded Circle, Half-shaded Square, Fully-shaded Triangle
Row 2: Half-shaded Circle, Fully-shaded Square, Unshaded Triangle
Row 3: Fully-shaded Circle, Unshaded Square, ?

What should replace the question mark?

Accepted Answer

This is a Latin Square pattern applied to shading. Each shading type (Unshaded, Half-shaded, Fully-shaded) appears exactly once in each row and column. Row 3 has Fully-shaded and Unshaded, missing Half-shaded. Column 3 has Fully-shaded and Unshaded, missing Half-shaded. The shape in position (3,3) is Triangle. Answer: Half-shaded Triangle.

Question 6

In the figure matrix, each row follows a pattern of size progression:

Row 1: Small Circle, Medium Circle, Large Circle
Row 2: Small Square, Medium Square, Large Square
Row 3: Small Triangle, Medium Triangle, ?

What should replace the question mark?

Accepted Answer

Each row contains the same shape in three sizes: Small, Medium, and Large. Row 3 contains Triangles in Small and Medium sizes, so the missing shape must be a Large Triangle to complete the size progression.

Question 7

A 2×2 matrix shows: Top-left has 2 dots, Top-right has 4 dots, Bottom-left has 6 dots, Bottom-right has ?. The pattern follows: each cell = (row number × column number × 2). What is the answer?

Accepted Answer

Testing pattern recognition using arithmetic relationships between position and cell value.

Question 8

In a 3×3 matrix, the first row contains: Circle, Square, Triangle. The second row contains: Square, Triangle, Circle. The third row contains: Triangle, Circle, ?. Each row and each column must contain all three shapes exactly once. What should replace the question mark?

Accepted Answer

This is a Latin Square logic puzzle where each shape must appear exactly once in every row and column.

Question 9

In a figure matrix, each row represents a transformation. Row 1: A square rotates 90° clockwise to become a diamond. Row 2: A triangle rotates 90° clockwise to become an inverted triangle. Row 3: A pentagon rotates 90° clockwise to become ?. What is the result?

Accepted Answer

Testing understanding of rotational transformations and their effects on different polygonal shapes.

Question 10

A 3×3 matrix has a pattern where each cell contains shapes with increasing complexity. Row 1: 1 line, 2 lines, 3 lines. Row 2: 1 circle, 2 circles, 3 circles. Row 3: 1 square, 2 squares, ?. How many squares should be in the bottom-right cell?

Accepted Answer

Testing pattern recognition based on both row progression and column progression in a matrix.

Question 11

In a figure series, each figure is divided into 4 quadrants. Figure 1: Top-left has 1 dot, top-right has 2 dots, bottom-left has 3 dots, bottom-right has 4 dots. Figure 2: Each quadrant has double the dots of Figure 1. Figure 3: Each quadrant has triple the dots of Figure 1. What is the total number of dots in the bottom-right quadrant of Figure 3?

Accepted Answer

Testing multiplication-based pattern recognition and ability to apply scaling rules to specific cell positions.

Question 12

A 2×3 matrix shows: Position (1,1) has a white square, (1,2) has a black square, (1,3) has a white square. Position (2,1) has a black square, (2,2) has a white square, (2,3) has ?. The pattern alternates colors such that no two adjacent cells (horizontally or vertically) share the same color. What should replace the question mark?

Accepted Answer

Testing constraint satisfaction in a checkerboard-like pattern where adjacency rules must be satisfied.

Question 13

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?

Accepted Answer

The pattern follows two simultaneous rules: (1) Each row increases the number of sides of the polygon by 1, and (2) Each cell contains dots equal to the number of sides. In row 2, Pentagon has 5 sides and 5 dots, Hexagon has 6 sides and 6 dots, so Heptagon must have 7 sides and 7 dots.

Question 14

In a 4×4 matrix, each cell contains a shape rotated by a specific angle. Row 1: Triangle (0°), Triangle (90°), Triangle (180°), Triangle (270°). Row 2: Square (45°), Square (135°), Square (225°), Square (315°). Row 3: Pentagon (30°), Pentagon (120°), Pentagon (210°), Pentagon (300°). Row 4: Hexagon (60°), Hexagon (150°), Hexagon (?), Hexagon (330°). What angle replaces the question mark?

Accepted Answer

Each row contains the same shape rotated by increasing angles. Row 1 increases by 90° (0→90→180→270). Row 2 increases by 90° starting from 45° (45→135→225→315). Row 3 increases by 90° starting from 30° (30→120→210→300). Row 4 increases by 90° starting from 60° (60→150→?→330). The missing angle is 150° + 90° = 240°.

Question 15

A 3×3 matrix shows concentric circles with shaded regions. Row 1: (2 circles, 1 shaded region), (3 circles, 2 shaded regions), (4 circles, 3 shaded regions). Row 2: (3 circles, 2 shaded regions), (4 circles, 3 shaded regions), (5 circles, ?). Row 3: (4 circles, 3 shaded regions), (5 circles, 4 shaded regions), (6 circles, 5 shaded regions). What is the missing value?

Accepted Answer

The pattern shows that shaded regions = number of circles − 1. In Row 2, Position 3: 5 circles means 5 − 1 = 4 shaded regions. This rule holds consistently across all cells in the matrix.

Question 16

A 3×3 matrix contains shapes with internal line divisions. Row 1: (Square divided into 2 parts, 1 shaded), (Square divided into 3 parts, 1 shaded), (Square divided into 4 parts, 2 shaded). Row 2: (Square divided into 3 parts, 1 shaded), (Square divided into 4 parts, 2 shaded), (Square divided into 5 parts, ?). Row 3: (Square divided into 4 parts, 2 shaded), (Square divided into 5 parts, 3 shaded), (Square divided into 6 parts, 4 shaded). What is the missing value?

Accepted Answer

The pattern shows that shaded parts = (number of divisions − 2). In Row 2, Position 3: 5 divisions means 5 − 2 = 3 shaded parts. This relationship is consistent across all cells.

SSC MTS Figure Matrix & Completion

Figure Matrix & Completion— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Figure Matrix & Completion — Practice Questions

60-Second Revision — Figure Matrix & Completion