Figure Series and Matrix Puzzles

🔷 Figure Series and Matrix Puzzles – Visual Reasoning

✅ What is Figure Series?

A figure series is a sequence of images that follow a specific pattern. You are asked to identify the next figure in the series or the missing one.



✅ What is a Matrix Puzzle?

A matrix puzzle is a grid (commonly 2×2 or 3×3) of images arranged in rows and columns, where one image is missing. You must identify the missing figure that completes the logic based on patterns across rows or columns.



🧠 Section 1: Figure Series

🔹 Types of Figure Series

  • 1️⃣ Rotation-Based Series: Figures rotate at a fixed angle (e.g., 90°, 180°). Look for changes in direction, corners, or arrows.
  • 2️⃣ Number of Elements Change: Shapes are added/removed each step—could be increasing, decreasing, or alternating.
  • 3️⃣ Size or Shape Change: Elements get bigger, smaller, or change form across steps.
  • 4️⃣ Shading or Filling Pattern: Filled/unfilled areas alternate or move position.
  • 5️⃣ Movement Pattern: Elements move in a specific direction—left, right, up, down, or diagonal.

🎯 Solving Strategy

Step Action
1️⃣ Observe differences between each image
2️⃣ Identify the pattern: rotation, movement, size, shading
3️⃣ Use elimination if confused
4️⃣ Predict the next logical figure

🧩 Example – Figure Series

Example: Triangle rotates 90° clockwise each time; one dot is added per step.

✅ Answer: A triangle rotated 270° with 3 dots



🧠 Section 2: Matrix Puzzles

🔹 What is a Matrix Puzzle?

A matrix puzzle consists of a 3×3 (or 2×2) grid where each row and column follows a specific pattern. One image is missing, and you must find the figure that completes the logic.

🔹 Common Patterns in Matrix


Pattern Type Description
Rotation Each row/column rotates an image in a consistent way
Repetition Same shape appears in row/column (repeated or alternating)
Number Change Objects increase or decrease progressively
Position Shift Elements move in specific directions
XOR/Overlay Logic Two figures combine to form the third
Mirror Image Image is reflected across axis within a row or column

🧩 Matrix Puzzle Example (3×3 Grid)

Grid:
[●] [▲] [●+▲]
[▼] [■] [▼+■]
[?] [?] [?]

Logic: Third cell in each row is a combination (overlay) of the first two.

✅ Answer: Combine row-3 figures in the same way as the others.


🎯 Solving Strategy for Matrix Puzzles

Step Action
1️⃣ Observe row-wise and column-wise patterns
2️⃣ Identify transformation logic (rotation, flip, overlay)
3️⃣ Eliminate figures that don't follow the pattern
4️⃣ Sketch or visualize the pattern if needed

❌ Common Mistakes to Avoid


Mistake Tip
Ignoring shading/direction Always check for minor detail changes
Guessing based on design only Use logical pattern, not just visual similarity
Missing diagonal patterns Check rows, columns, and diagonals equally



📝 Practice Questions

Q1: Figure Series

Series: Square with 1 dot → Square with 2 dots → Square with 3 dots → ?

✅ Answer: Square with 4 dots


Q2: Matrix Puzzle

Grid:
[●] [▲] [●+▲]
[▼] [■] [▼+■]
[?] [?] [?]

Logic: Each third cell is a combination of first and second.

✅ Answer: Combine shapes in row-3 to match the rule.



✅ Conclusion

Figure series and matrix puzzles sharpen visual thinking, pattern analysis, and logical reasoning. They are commonly seen in competitive exams, IQ tests, and school reasoning papers. With practice and the right strategies, anyone can master them!


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