CCAT - Criteria Cognitive Aptitude Spatial Reasoning: Matrices Questions and Answers 1 — Questions and Answers
Question 1: A 3x3 matrix is presented. Each cell contains a primary shape. The pattern progresses logically across the rows and down the columns. Which of the answer choices correctly completes the matrix in the bottom-right cell? Row 1: [Circle with horizontal line], [Circle with vertical line], [Circle with horizontal and vertical lines] Row 2: [Square with horizontal line], [Square with vertical line], [Square with horizontal and vertical lines] Row 3: [Triangle with horizontal line], [Triangle with vertical line], [?]
- A square with a vertical line
- A triangle with a horizontal line
- A triangle with horizontal and vertical lines (Correct answer)
- A circle with a diagonal line
Correct answer: A triangle with horizontal and vertical lines
The logic follows two rules. Across each row, the shape remains the same (Circle, Square, Triangle). Down each column, the added line pattern is consistent (horizontal, vertical, combined). In the third row, the shape is a triangle. In the third column, the pattern is the combination of the lines from the first and second columns (horizontal + vertical). Therefore, the missing cell must contain a triangle with both horizontal and vertical lines.
Question 2: Examine the 3x3 matrix of symbols. A logical pattern exists both horizontally and vertically. Identify the answer choice that should replace the question mark in the bottom-right cell. Row 1: [One black dot], [Two black dots], [Three black dots] Row 2: [Two black dots], [Three black dots], [Four black dots] Row 3: [Three black dots], [Four black dots], [?]
- Three black dots
- Five black dots (Correct answer)
- Four black dots
- Six black dots
Correct answer: Five black dots
The pattern is an arithmetic progression. Across each row, the number of dots increases by one from left to right. Down each column, the number of dots also increases by one from top to bottom. Following this logic for the third row (3, 4, ...), the next number of dots should be five. Following the logic for the third column (3, 4, ...), the next number should also be five.
Question 3: In the following 3x3 matrix, the figure in each cell is determined by a consistent rule. Which of the options below logically fills the empty cell? Row 1: [Upward Arrow], [Right-pointing Arrow], [Downward Arrow] Row 2: [Left-pointing Arrow], [Upward Arrow], [Right-pointing Arrow] Row 3: [Downward Arrow], [Left-pointing Arrow], [?]
- A right-pointing arrow
- A downward arrow
- A left-pointing arrow
- An upward arrow (Correct answer)
Correct answer: An upward arrow
The pattern in this matrix is a 90-degree clockwise rotation. As you move from left to right across each row, the arrow rotates 90 degrees clockwise. The last cell of a row becomes the first cell of the next row, continuing the rotation. In the third row, the sequence is Down Arrow -> Left Arrow. The next 90-degree clockwise rotation results in an Upward Arrow.
Question 4: A 3x3 grid contains shapes with different shadings. There is a logical rule that applies to the rows and columns. Select the option that correctly completes the grid. Row 1: [Unfilled Circle], [Half-filled Circle (right side)], [Filled Circle] Row 2: [Unfilled Square], [Half-filled Square (right side)], [Filled Square] Row 3: [Unfilled Triangle], [?], [Filled Triangle]
- Half-filled Triangle (right side) (Correct answer)
- Unfilled Triangle
- Filled Square
- Half-filled Circle (left side)
Correct answer: Half-filled Triangle (right side)
Two patterns are present. Down each column, the shape is consistent (Circle, Square, Triangle). Across each row, the shading pattern is consistent: Unfilled, Half-filled, and then Fully Filled. The missing cell is in the 'Triangle' row and the 'Half-filled' column. Therefore, the correct answer is a Half-filled Triangle.
Question 5: The 3x3 matrix below shows a grid where each cell contains a large square divided into four smaller quadrants. A small black circle occupies one quadrant in each cell. Determine the correct figure for the empty cell. Row 1: [Circle in Top-Left], [Circle in Top-Right], [Circle in Top-Left] Row 2: [Circle in Bottom-Left], [Circle in Bottom-Right], [Circle in Bottom-Left] Row 3: [Circle in Top-Right], [?], [Circle in Top-Right]
- Circle in Top-Left
- Circle in Bottom-Right (Correct answer)
- Circle in Bottom-Left
- Circle in Top-Right
Correct answer: Circle in Bottom-Right
The pattern is determined by the column. In the first and third columns, the position of the circle alternates between two positions (Top-Left/Bottom-Left for column 1, and Top-Left/Top-Right for column 3). In the second column, the circle moves from the Top-Right quadrant in Row 1 to the Bottom-Right quadrant in Row 3. Therefore, the middle cell must contain the circle in the Bottom-Right quadrant to complete the vertical pattern.
Question 6: Each cell in the 3x3 matrix contains a different number of lines. A consistent rule governs the arrangement. Which answer choice should be in the place of the question mark? Row 1: [3 Horizontal Lines], [2 Vertical Lines], [1 Diagonal Line] Row 2: [4 Horizontal Lines], [3 Vertical Lines], [2 Diagonal Lines] Row 3: [5 Horizontal Lines], [4 Vertical Lines], [?]
- 2 Vertical Lines
- 4 Horizontal Lines
- 3 Diagonal Lines (Correct answer)
- 1 Diagonal Line
Correct answer: 3 Diagonal Lines
The logic operates both down columns and across rows. Down each column, the number of lines increases by one (3, 4, 5 for horizontal; 2, 3, 4 for vertical; 1, 2, ? for diagonal). Across each row, the number of lines decreases by one (3, 2, 1 for row 1; 4, 3, 2 for row 2; 5, 4, ? for row 3). Both patterns indicate that the missing cell must contain 3 lines. Since the third column contains diagonal lines, the correct answer is 3 Diagonal Lines.
A 3x3 matrix is presented.
Each cell contains a primary shape.
The pattern progresses logically across the rows and down the columns.
Which of the answer choices correctly completes the matrix in the bottom-right cell?
Row 1: [Circle with horizontal line], [Circle with vertical line], [Circle with horizontal and vertical lines]
Row 2: [Square with horizontal line], [Square with vertical line], [Square with horizontal and vertical lines]
Row 3: [Triangle with horizontal line], [Triangle with vertical line], [?]