Figure series: Reasoning Ability Notes for Rajasthan Police Constable

📊 Figure Series – Reasoning Ability

(Rajasthan Police Constable – Reasoning Ability – Figure Series)

1. Simple Explanation

A Figure Series is a sequence of shapes (or “figures”) arranged in a row, column, or grid.
The task is to find the rule that governs the progression of the figures and then use that rule to predict the next figure(s).

Typical elements you’ll encounter:

Shape type (circle, square, triangle, etc.)
Size (increasing or decreasing)
Orientation (rotation, flipping)
Color (if given)
Position (row/column shift)
Quantity (number of shapes per row)

Goal: Detect the hidden pattern and fill in the missing figure(s) or choose the correct answer from options.

2. Key Points to Remember

#	Idea	Why it matters
1	Identify the dimension (row vs column vs grid).	Patterns differ if the series is horizontal versus vertical.
2	Count the shapes in each figure.	Quantity often follows arithmetic or geometric progressions.
3	Check size changes (diameter, side length).	Size can increase/decrease by a fixed amount or by a factor.
4	Look for orientation changes (rotation angles, mirroring).	Rotations often follow 90°, 180°, 270° steps.
5	Notice color or shading changes.	Color may alternate or change in a predictable way.
6	Look for symmetry (mirror, rotational, translational).	Symmetry operations often describe the rule.
7	Consider “hidden” operations (sum of sides, number of vertices, etc.).	Some series use abstract attributes.
8	Beware of distractors – patterns that initially look right but break later.	Always test the rule with all given figures.
9	Practice “reverse engineering” – start from the last figure back to the first.	Helps confirm the rule.
10	Time‑management – get the rule quickly; you’ll solve the rest in seconds.	In exams, you must solve many questions fast.

3. Worked Example

Series:

1️⃣  ●
2️⃣  ◯
3️⃣  △
4️⃣  ◆
5️⃣  ◻

(All shapes are solid, same size, no color given.)

Step‑by‑Step Solution

Step	Observation	Reasoning
1	Count shapes in each figure	Each figure contains one shape.
2	Identify shape type	Sequence of shape types: Circle → Triangle → Square (diamond) → Circle → Square.
3	Look for a repeating pattern	The sequence of shape types repeats every 4 figures: Circle, Triangle, Square, Diamond.
4	Find next figure	After the 5th figure (Square), the 6th should be the first shape in the cycle → Circle.
5	Verify with all given figures	All 5 figures follow the cycle; the rule holds.

Answer: The missing 6th figure is a solid Circle (●).

4. Quick Revision Summary

Focus Area	Tips
Pattern Identification	Look at shape type, size, orientation, quantity, color.
Common Operations	+1 shape, +2 size, rotate +90°, color alternation, symmetry flips.
Rule Testing	Apply suspected rule to all figures; if one fails, redo.
Reverse Check	Work backwards to confirm consistency.
Time‑Saving	Skim for obvious repeats; then lock in one possible rule.
Practice	Solve at least 10 figure‑series questions daily; annotate patterns.

📚 Quick Study Guide for Exam Day

Read the series fully – note every attribute.
Identify a single changing attribute (usually easiest).
Guess a rule (arithmetic, geometric, rotation, etc.).
Validate the rule against all figures.
Predict the next figure or pick the correct option.
Mark and move on – don’t get stuck on one question.

Good luck, and keep practicing – the more patterns you see, the faster you’ll solve them!