Delhi TET (Teacher Eligibility) /Reasoning Ability

Figure series

Non-Verbal & Puzzles · free study notes

📚 Delhi TET – Reasoning Ability

Topic: Figure Series

Figure series questions ask you to look at a set of shapes and predict the next shape.
They test how well you see patterns and trends in visual information.


1️⃣ What is a Figure Series?

  • A figure series is a row (or column) of pictures/shapes.
  • You have to find the rule that connects all the shapes and then apply it to find the next shape.
  • Think of it like a story made out of pictures.

2️⃣ Everyday Analogy

Imagine you’re watching a train with several carriages:

Carriage # What you see What it tells you
1 A red window “Start with red”
2 A blue window “Color changes”
3 A green window “Color changes again”

If you know the rule “color changes cyclically”, you can guess the color of carriage #4.
A figure series works the same way: shapes are the “carriages,” and the rule is the “train’s timetable.”


3️⃣ Common Pattern Types (Very Simple)

Pattern What to look for Quick example
Shape change The shape itself changes (circle → square → triangle). 1️⃣ circle → 2️⃣ square → 3️⃣ triangle
Size change Shape gets bigger or smaller. 1️⃣ small circle → 2️⃣ medium circle → 3️⃣ big circle
Orientation change Shape rotates 90°, 180°, etc. 1️⃣ arrow pointing up → 2️⃣ arrow pointing right
Color change Color cycles (red → blue → green). 1️⃣ red dot → 2️⃣ blue dot
Number of parts Adds or removes lines/points. 1️⃣ one line → 2️⃣ two lines → 3️⃣ three lines
Combination Two or more of the above happen together. 1️⃣ small red circle → 2️⃣ medium blue square → 3️⃣ big green triangle

Tip: If you can’t spot a single rule, try each type one by one.


4️⃣ Step‑by‑Step How to Solve

  1. Look at all shapes

    • Notice shape type, size, color, orientation, parts.
  2. List the changes

    • Write a short note: “Circle → Square”, “Size ↑”, “Color red → blue”.
  3. Find a repeating cycle

    • Does the change repeat every 2, 3, or 4 shapes?
  4. Apply the rule

    • Use the same change on the last shape to get the next one.
  5. Check all options

    • Compare your predicted shape with the choices. Pick the one that matches.

5️⃣ Tiny Example

Series:
1️⃣ Red circle
2️⃣ Blue square
3️⃣ Green triangle
4️⃣ ?

What changed each step?

Step Shape Color
1 Circle Red
2 Square Blue
3 Triangle Green
  • Shape sequence: circle → square → triangle (maybe a cycle of 3 shapes).
  • Color sequence: red → blue → green (also 3 colors).

Prediction: Next shape should repeat the first shape and color.

  • Shape: circle
  • Color: red

Answer: The 4th shape is a red circle.


6️⃣ Quick Practice

# Shape & Color Your guess
1 Blue diamond
2 Blue square
3 Red square
4 ?

Hint: Look for what changes (shape or color) and the order they appear.


7️⃣ Tips for TET

  • Keep it simple: Most TET questions use one rule (shape or color) or a simple combo.
  • Time‑saving: If you see a clear cycle (3, 4, or 5 shapes), jump to the answer.
  • Eliminate wrong options: If an option has a shape or color that never appeared, it’s wrong.
  • Practice with sample papers; the more you practice, the faster you spot patterns.

8️⃣ Summary

  • A figure series is like a short visual story.
  • Identify shape, size, color, orientation, and parts.
  • Spot the rule (or rules).
  • Apply the rule to the last figure → choose the correct answer.

Happy practicing! 🎉

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