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Linear Rotation Sequence

Linear Rotation Sequence problems present a series of geometric figures that rotate by a constant angle at each step. The rotation may be clockwise or anticlockwise, with common step angles including 45°, 90°, and 180°. You must calculate the next rotation angle and identify the figure with the correct orientation.

10Worksheets
200+Practice Questions
BeginnerDifficulty
1-2 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Linear Rotation Sequence

Linear Rotation Sequence problems present a series of geometric figures that rotate by a constant angle at each step. The rotation may be clockwise or anticlockwise, with common step angles including 45°, 90°, and 180°. You must calculate the next rotation angle and identify the figure with the correct orientation.

Prerequisites

Understanding of clockwise and anticlockwise directions Knowledge of angles (45°, 90°, 180°, 270°, 360°) Basic shape recognition Mental rotation skills
Why This Matters: Linear Rotation Sequence problems are fundamental to missing figure reasoning. You can expect 2-3 questions in SSC CGL, 2-3 in Banking PO, and 2-3 in Railways RRB exams.

How to Solve Linear Rotation Sequence Problems

1

Step 1: Identify the shape in the sequence (rectangle, triangle, arrow, etc.)

2

Step 2: Calculate the rotation angle between consecutive figures

3

Step 3: Determine if rotation is clockwise or anticlockwise

4

Step 4: Verify the rotation step is constant throughout the series

5

Step 5: Apply the same rotation step to the last figure

6

Step 6: If rotation exceeds 360°, subtract 360° to get effective angle

7

Step 7: Select the figure with the correct orientation

Pro Strategy: Always convert figures to their orientation angles. Track the rotation direction and step size. Apply the same step to find the next orientation.

Example Problem

Example: Figures show a rectangle rotating 45° clockwise each step: 0°, 45°, 90°, 135°. What is the next rotation angle? Solution: Step 1: Identify shape = rectangle Step 2: Rotation step = 45° clockwise Step 3: Last angle = 135° Step 4: Next angle = 135° + 45° = 180° Answer: Rectangle rotated 180°

Pro Tips & Tricks

  • Practice regularly to build speed and accuracy
  • Understand the concept before memorizing formulas
  • Start with easier problems and gradually increase difficulty

Exam Importance

Linear Rotation Sequence is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
2-3 questions
BANKING PO
2-3 questions
RAILWAYS RRB
2-3 questions
INSURANCE
2-3 questions

Ready to Master Linear Rotation Sequence?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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