Coast Guard /Reasoning Ability

Figure series

Non-Verbal & Puzzles · free study notes

📊 Study Notes – Figure Series

Coast Guard Reasoning Ability – Beginner Edition


1️⃣ What is a Figure Series?

A figure series is a set of pictures that follow a hidden rule.
You look at the first few pictures, find the rule, and then pick the picture that fits next.

Think of it as a pattern game with shapes instead of numbers.


2️⃣ Why Do We Need It?

  • Logic test – Many exams ask you to choose the missing picture.
  • Quick thinking – Spotting patterns trains your brain to see connections fast.

3️⃣ Common Types of Patterns

Pattern Everyday Analogy How It Looks
Rotation Turning a pizza slice 90° The same shape, but turned
Reflection Mirror image in a window Left ↔ right
Scaling Growing a plant Bigger or smaller shape
Color Change Changing a light bulb’s color Only the color changes
Shape Addition Adding a new toy to a shelf New shape appears in each step
Shape Subtraction Removing a piece from a puzzle Shapes disappear one by one

4️⃣ How to Solve a Figure Series

  1. Look at all pictures
    Don’t rush – focus on the whole set.

  2. Find a common element
    What is the same in every picture?

    • Shape?
    • Color?
    • Number of parts?
  3. Notice how that element changes

    • Does it rotate?
    • Does a part grow?
    • Does a color switch?
  4. Predict the next change
    Apply the same rule to the last picture.

  5. Check all options
    Choose the picture that matches the predicted change.


5️⃣ Quick Tips

  • Start with simple moves – rotation, reflection, size.
  • Count carefully – number of shapes or lines.
  • Use the “copy and paste” test – imagine copying the picture and then making the same move.
  • Eliminate wrong answers first – if an option has a shape that never appeared, drop it.

6️⃣ Tiny Example

Picture 1 Picture 2 Picture 3
🟦 (blue square) 🟦 (blue square, rotated 90°) 🟦 (blue square, rotated 180°)

Rule: Rotate the square 90° each step.

  • Next picture: The square rotated 270° (or 90° counter‑clockwise).
Correct Answer Wrong Answer
🟦 (blue square, rotated 270°) 🟦 (blue square, rotated 360° – same as start)

7️⃣ Practice Question

Series
1️⃣ ➜ 2️⃣ ➜ 3️⃣ ➜ ❓

  • 1️⃣: A red circle.
  • 2️⃣: The same circle, but with a green dot in the center.
  • 3️⃣: The circle with a blue dot in the center.

Options
A) Circle with a red dot
B) Circle with a green dot
C) Circle with a blue dot
D) Circle with a yellow dot

Solution

  • Rule: The dot’s color changes in a cycle (red → green → blue → red).
  • Next picture should have a red dot.
  • Answer: A

8️⃣ Summary

  • A figure series is a pattern of shapes.
  • Spot the common element and how it changes.
  • Use simple moves: rotate, reflect, grow, color.
  • Practice with small examples – it builds speed.

Good luck with your Coast Guard exam! Remember: Look, pattern, predict. 🚀

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