Diagonal Movement

Diagonal Movement problems feature figures that move along diagonal paths within a square or rectangular frame. Common patterns include moving from top-left to bottom-right and back, bouncing off corners, or alternating between two diagonal positions. You must track the movement pattern and predict the next position.

10Worksheets
200+Practice Questions
HardDifficulty
2-3 hoursHours to Master

Introduction to Diagonal Movement

Diagonal Movement problems feature figures that move along diagonal paths within a square or rectangular frame. Common patterns include moving from top-left to bottom-right and back, bouncing off corners, or alternating between two diagonal positions. You must track the movement pattern and predict the next position.

Prerequisites

Understanding of diagonal lines Position tracking (corners: TL, TR, BR, BL) Bouncing pattern recognition Alternating sequence prediction
Why This Matters: Diagonal Movement problems appear in 0-1 questions in advanced exams. They test spatial tracking of diagonal paths.

How to Solve Diagonal Movement Problems

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Step 1: Identify the positions (corners or grid cells) on the diagonal path

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Step 2: Track the sequence: TL → BR → TL → BR or TL → BR → TR → BL (bouncing)

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Step 3: Determine if movement is alternating or bouncing

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Step 4: For bouncing, the figure moves to opposite corner, then to other corners

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Step 5: Apply the same movement pattern to predict next position

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Step 6: Consider if the figure also rotates or changes during movement

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Step 7: Select the figure in the predicted position

Pro Strategy: Diagonal movement often alternates between two opposite corners. For bouncing patterns, the figure may hit one corner, then bounce to a different corner, following a specific sequence (e.g., TL → BR → TR → BL → TL).

Example Problem

Example: A circle moves: Top-Left → Bottom-Right → Top-Left → Bottom-Right → ___. Next position? Solution: Step 1: Pattern alternates between TL and BR Step 2: Last position = Bottom-Right Step 3: Next position = Top-Left Answer: Top-left corner

Pro Tips & Tricks

  • Main diagonal: Top-Left ↔ Bottom-Right
  • Other diagonal: Top-Right ↔ Bottom-Left
  • Bouncing pattern: TL → BR → TR → BL → TL (zigzag)
  • Alternating pattern: TL → BR → TL → BR (simple back-and-forth)
  • The figure may start at any corner
  • Movement may be along a diagonal line of grid cells, not just corners

Shortcut Methods to Solve Faster

For alternating pattern: next = opposite corner of last
For bouncing pattern: follow the sequence: TL→BR→TR→BL→TL
If on main diagonal, next is opposite; if on other diagonal, next is opposite
Use coordinates: (0,0)→(1,1)→(0,0) or (0,1)→(1,0)→(0,1)

Common Mistakes to Avoid

Confusing main diagonal with anti-diagonal
Not recognizing the bouncing pattern
Assuming movement is always to the opposite corner (may be to adjacent corners)
Missing that the figure may also rotate or change size

Exam Importance

Diagonal Movement is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
0-1 questions
BANKING PO
0-1 questions
RAILWAYS RRB
0-1 questions
INSURANCE
0-1 questions

Ready to Master Diagonal Movement?

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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