Raven's Progressive Matrices Test Raven's Progressive Matrices Matrix Structure and Logic 3 — Questions and Answers
Question 1: In an RPM item where each row contains three overlapping shapes, and the third cell shows only the region NOT shared by the first two, which logical operation is demonstrated?
- Union
- Intersection complement (XOR)
- Symmetric difference (Correct answer)
- Conjunction
Correct answer: Symmetric difference
Symmetric difference (XOR) retains only the portions that appear in one shape but not in both, removing the overlapping region.
Question 2: Which term describes the rule where a small dot moves one position clockwise around the edges of a square frame in each successive cell?
- Linear translation
- Orbital rotation (Correct answer)
- Axial reflection
- Scale transformation
Correct answer: Orbital rotation
Orbital rotation describes an element that moves around a fixed circular or polygonal path in each step.
Question 3: A matrix has shapes in the first column, the same shapes rotated 45° in the second column, and rotated 90° in the third. What is the transformation increment?
- 30-degree rotation per step
- 45-degree rotation per step (Correct answer)
- 60-degree rotation per step
- 90-degree rotation per step
Correct answer: 45-degree rotation per step
The shape advances by 45 degrees with each column step, making 45-degree rotation the per-step transformation increment.
Question 4: When completing an RPM matrix, why is it important to verify the answer option satisfies BOTH the row rule and the column rule?
- Because RPM only uses column rules in advanced sets
- Because most matrices encode independent rules along both dimensions simultaneously (Correct answer)
- Because the row rule always overrides the column rule
- Because answer options are ordered by row compliance
Correct answer: Because most matrices encode independent rules along both dimensions simultaneously
Advanced RPM items deliberately encode one rule across rows and a different rule across columns, requiring both to be satisfied for the correct answer.
Question 5: In an RPM matrix, the shaded area inside shapes doubles with each step across a row. Starting from 1/4 shaded, what fraction is shaded in the third cell?
- 1/2
- 3/4
- 1 (Correct answer)
- 1/8
Correct answer: 1
Doubling from 1/4 gives 1/2 in the second cell and 1 (fully shaded) in the third cell.
Question 6: A matrix contains shapes where each row's cells collectively use all three shadings: white, gray, and black. Each column also contains each shading exactly once. This constraint is called:
- A Latin square rule (Correct answer)
- A gradient rule
- A binary rule
- A cumulative rule
Correct answer: A Latin square rule
A Latin square rule ensures each value (shading, shape type, etc.) appears exactly once in every row and every column.
Question 7: In an RPM item, a triangle in the first cell becomes a square in the second and a pentagon in the third. What is the underlying pattern?
- Shape rotation by 90 degrees
- Addition of one side per step (Correct answer)
- Random shape substitution
- Mirror reflection sequence
Correct answer: Addition of one side per step
Triangle (3 sides) → square (4 sides) → pentagon (5 sides) shows addition of one side with each step.
Raven's Progressive Matrices Test Raven's Progressive Matrices Matrix Structure and Logic 3
In an RPM item where each row contains three overlapping shapes, and the third cell shows only the region NOT shared by the first two, which logical operation is demonstrated?