Figure Matrix— Concepts, Formulas & Shortcuts
- Read the rule from the complete rows first, then apply it to the incomplete one.
- Check rows AND columns; the rule may run either way.
- Common rules: constant rotation per step, constant change in element count, or superimposition.
- Superimposition rule: the third cell combines the first two, sometimes deleting common parts.
- The rule must hold for every complete row and column, not just one.
- If no transformation fits, count elements — the pattern is often purely numerical.
Figure Matrix Practice Questions with Answers
Attempt each question first, then open the explanation. All 8 questions below are free to read and require no signup.
Q1.In a 3 × 3 figure matrix, the governing rule usually applies:
Easy- AOnly to the first row
- BAcross rows and down columns
- CRandomly
- DOnly diagonally
Figure Matrix question 1 of 8+Show Answer & Explanation
Answer: B. Across rows and down columns
Explanation: A well-formed matrix has a rule consistent both horizontally and vertically.
Q2.If each cell in a row adds one dot and the first has 2 dots, the third has:
Easy- A3
- B4
- C5
- D6
Figure Matrix question 2 of 8+Show Answer & Explanation
Answer: B. 4
Explanation: 2, then 3, then 4 dots across the row.
Q3.If a figure rotates 90° clockwise per column, the third column shows a rotation from the first of:
Moderate- A90°
- B180°
- C270°
- D360°
Figure Matrix question 3 of 8+Show Answer & Explanation
Answer: B. 180°
Explanation: Two steps of 90° give a total rotation of 180°.
Q4.Under the superimposition rule, the third figure in a row is formed by:
Moderate- ARotating the first
- BOverlaying the first two
- CDeleting the second
- DReflecting the first
Figure Matrix question 4 of 8+Show Answer & Explanation
Answer: B. Overlaying the first two
Explanation: The first two figures are combined, often with common elements cancelling.
Q5.If element counts in a row run 3, 6 and then the missing cell, and the rule is doubling, the missing figure has:
Moderate- A9
- B12
- C18
- D24
Figure Matrix question 5 of 8+Show Answer & Explanation
Answer: B. 12
Explanation: Doubling gives 3, 6, 12.
Q6.A rule that fits the first row but not the second is:
Easy- AStill correct
- BThe wrong rule
- CPartially correct
- DCorrect for columns
Figure Matrix question 6 of 8+Show Answer & Explanation
Answer: B. The wrong rule
Explanation: The governing rule must hold for every complete row and column.
Q7.If shading alternates across each row starting shaded, the third cell is:
Easy- AShaded
- BUnshaded
- CHalf shaded
- DCannot be determined
Figure Matrix question 7 of 8+Show Answer & Explanation
Answer: A. Shaded
Explanation: Alternating from shaded gives shaded, unshaded, shaded.
Q8.When no transformation rule seems to fit a matrix, you should next check:
Moderate- AThe option labels
- BThe count of elements in each cell
- CThe page number
- DThe size of the grid
Figure Matrix question 8 of 8+Show Answer & Explanation
Answer: B. The count of elements in each cell
Explanation: Many matrices use a purely numerical progression rather than a geometric transformation.
Figure Matrix — Frequently Asked Questions
How do I find the rule in a figure matrix?+
Use the rows that are complete. Compare the first and second cells, then the second and third, and identify the consistent change. Confirm the same change holds in the other complete row before applying it.
What is the superimposition rule?+
The third figure in a row is formed by overlaying the first two, often with the shared elements cancelling out. It is one of the most frequent matrix rules in Indian exams.
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