Question 1

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, ?. What should replace the question mark?

Accepted Answer

Each row and each column must contain all three shapes exactly once (Latin Square principle).

Question 2

In the following figure matrix, a pattern is established across rows and columns. 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?

Accepted Answer

Each row and each column contains all three shapes (Circle, Square, Triangle) exactly once. In Row 3, we have Triangle and Circle, so we need Square. In Column 3, we have Triangle and Circle, so we need Square. The missing figure is Square.

Question 3

Study the following 3×3 matrix carefully. In the matrix, each row follows a specific pattern. Find the missing figure that should replace 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?

Accepted Answer

To solve this figure matrix, identify the pattern in each row:

Row 1 Pattern: The number of dots inside a circle increases by 1 from left to right (1 dot → 2 dots → 3 dots).

Row 2 Pattern: The number of lines inside a square increases by 1 from left to right (1 line → 2 lines → 3 lines).

Row 3 Pattern: Following the same logic, the number of dots inside a triangle should increase by 1 from left to right (1 dot → 2 dots → 3 dots).

Therefore, the missing figure should be a Triangle with 3 dots inside it.

Common mistakes:
- Option (a): Triangle with 4 dots - incorrectly assumes dots increase by more than 1
- Option (c): Triangle with 2 dots - assumes the pattern stops at 2 instead of continuing to 3
- Option (d): Circle with 3 dots - confuses the shape (should be triangle, not circle)

Question 4

Study the 3×3 figure matrix below:

[Triangle pointing up] [Triangle pointing right] [Triangle pointing down]
[Triangle pointing right] [Triangle pointing down] [Triangle pointing left]
[Triangle pointing down] [Triangle pointing left] [?]

What should replace the question mark?

Accepted Answer

Each row shows triangles pointing in different directions, rotating clockwise. Row 1: Up, Right, Down. Row 2: Right, Down, Left. Row 3: Down, Left, ?. In each row, the direction rotates 90° clockwise. Following this pattern, after Left comes Up. The missing figure should be a Triangle pointing up.

Question 5

In the following 3×3 matrix, each row follows a rule. Identify the missing figure:

[1 line] [2 lines] [3 lines]
[2 lines] [3 lines] [4 lines]
[3 lines] [4 lines] [?]

Each cell contains a shape with the indicated number of lines. What should replace the question mark?

Accepted Answer

Each row shows an increasing number of lines. Row 1: 1, 2, 3 lines. Row 2: 2, 3, 4 lines. Row 3: 3, 4, ? lines. Each row starts one number higher than the previous row. Following this pattern, Row 3 should have 3, 4, 5 lines. The missing figure should have 5 lines.

Question 6

In the figure matrix below, a pattern is followed in each row. Study the pattern and 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?

Accepted Answer

The pattern in each row shows a shape that progressively increases the number of internal elements (dots or lines) by 1 in each successive cell. Row 1 adds dots to circles, Row 2 adds lines to squares, and Row 3 should add dots to triangles. Following this rule, the third cell in Row 3 should contain a triangle with 3 dots.

Question 7

In the following 3×3 matrix, a pattern governs the number of shapes in each cell:

[1 circle] [2 circles] [3 circles]
[2 circles] [4 circles] [6 circles]
[3 circles] [6 circles] [?]

What should replace the question mark?

Accepted Answer

Each cell's value equals the product of its row number and column number. Row 1, Column 1: 1×1=1 circle. Row 1, Column 2: 1×2=2 circles. Row 2, Column 2: 2×2=4 circles. Row 3, Column 3: 3×3=9 circles. The missing figure should contain 9 circles.

Question 8

In the figure matrix below, each cell contains shapes with a specific number of elements. Identify the missing figure.

Row 1: 1 Circle, 2 Circles, 3 Circles
Row 2: 1 Square, 2 Squares, 3 Squares
Row 3: 1 Triangle, 2 Triangles, ?

What should replace the question mark?

Accepted Answer

Each row contains the same shape repeated in increasing quantities: 1, 2, and 3 times. Row 1 has 1, 2, and 3 circles. Row 2 has 1, 2, and 3 squares. Row 3 has 1 and 2 triangles, so it should have 3 triangles in the missing cell.

Question 9

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?

Accepted Answer

Each row contains three shapes: Circle, Square, and Triangle. In each row, the shapes appear in a different order. Row 1 has them in order: Circle, Square, Triangle. Row 2 shifts the pattern: Square, Triangle, Circle. Row 3 continues the shift: Triangle, Circle, ?. Following the cyclic pattern, the missing shape should be Square.

Question 10

In the figure matrix below, a pattern is followed in each row. Study the pattern and select the figure that should replace 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 → ?

Which figure should replace the question mark?

Accepted Answer

The pattern in each row shows a shape increasing in internal elements (dots or lines) by 1 with each step. Row 3 follows the same logic: Triangle with 1 dot → Triangle with 2 dots → Triangle with 3 dots.

Question 11

In the figure matrix below, shapes are filled with different shading patterns. Identify the missing figure.

Row 1: Unfilled Circle, Filled Circle, Half-filled Circle
Row 2: Unfilled Square, Filled Square, Half-filled Square
Row 3: Unfilled Triangle, Filled Triangle, ?

What should replace the question mark?

Accepted Answer

The pattern shows that each row contains the same shape in three different fill states: Unfilled, Filled, and Half-filled. Row 3 has Unfilled Triangle and Filled Triangle, so it needs Half-filled Triangle to complete the pattern.

Question 12

In a 3×3 grid, each row must contain the symbols: ★, ●, ■ exactly once. Row 1: ★, ●, ■. Row 2: ●, ■, ★. Row 3: ■, ★, ?. What symbol replaces the question mark?

Accepted Answer

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

Question 13

Examine the figure matrix where each cell contains a shape with a specific orientation. Find the missing figure.

Row 1: Triangle pointing up, Triangle pointing right, Triangle pointing down
Row 2: Square (normal), Square (rotated 45°), Square (normal)
Row 3: Circle (no rotation), Circle (no rotation), ?

What should replace the question mark?

Accepted Answer

Row 1 shows triangles rotating 90° clockwise (up → right → down). Row 2 shows squares alternating between normal and 45° rotation. Row 3 shows circles, which have no distinguishable orientation regardless of rotation. The missing figure should be a Circle (no rotation), as circles appear identical in any orientation.

Question 14

In a 2×2 grid, the top-left cell has 5 sides. The top-right cell has 6 sides. The bottom-left cell has 4 sides. The bottom-right cell has ? sides. If the pattern is that each row sums to 11, what is the missing value?

Accepted Answer

Each row must sum to 11 (given constraint).

Question 15

Observe the pattern in the figure matrix below. Each cell contains a shape with a specific number of sides. Find the missing figure.

Row 1: 3-sided shape, 4-sided shape, 5-sided shape
Row 2: 4-sided shape, 5-sided shape, 6-sided shape
Row 3: 5-sided shape, 6-sided shape, ?

How many sides should the missing shape have?

Accepted Answer

The pattern shows that each row increases the number of sides by 1 as you move right. Row 1 starts with 3 sides and increases to 5. Row 2 starts with 4 sides and increases to 6. Row 3 starts with 5 sides, so it should increase to 7 sides. The missing shape should have 7 sides (heptagon).

Question 16

In a sequence of figures: Figure 1 has 1 shaded square, Figure 2 has 3 shaded squares, Figure 3 has 5 shaded squares, Figure 4 has 7 shaded squares. How many shaded squares should Figure 6 have?

Accepted Answer

The sequence follows an arithmetic progression where each figure has 2 more shaded squares than the previous figure (odd numbers: 1, 3, 5, 7, ...).

Question 17

Study the pattern: In each row, the number of sides of the shapes increases by 1. Row 1: Triangle (3 sides), Square (4 sides), Pentagon (5 sides). Row 2: Square (4 sides), Pentagon (5 sides), ?. What is the missing shape in Row 2?

Accepted Answer

Each row follows a sequence where consecutive shapes have sides increasing by 1.

Question 18

In a 3×3 matrix, each cell contains a number. Row 1: 2, 4, 6. Row 2: 3, 6, 9. Row 3: 4, 8, ?. The pattern in each row is that each number is a multiple of the first number in that row. What should replace the question mark?

Accepted Answer

Each row follows the pattern: first number, 2× first number, 3× first number.

Question 19

A 3×3 matrix shows shapes that rotate 90° clockwise in each cell moving left to right. The first cell (top-left) shows a triangle pointing up. The second cell shows a triangle pointing right. The third cell shows a triangle pointing down. The fourth cell (second row, first column) shows a triangle pointing left. The fifth cell shows a triangle pointing up. The sixth cell shows a triangle pointing right. The seventh cell shows a triangle pointing down. The eighth cell shows a triangle pointing left. The ninth cell (bottom-right) shows a triangle pointing ?.

Accepted Answer

The pattern rotates 90° clockwise with each step, cycling through up→right→down→left→up.

Question 20

Observe the pattern: In position (1,1) there are 2 dots. In position (1,2) there are 4 dots. In position (1,3) there are 6 dots. In position (2,1) there are 3 dots. In position (2,2) there are 6 dots. In position (2,3) there are 9 dots. In position (3,1) there are 4 dots. In position (3,2) there are 8 dots. In position (3,3) there are ? dots. What is the missing value?

Accepted Answer

The pattern follows: dots = (row number) × (column number) × 2.

Delhi Police Head Constable 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