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Horizontal Shifting

Horizontal Shifting problems feature figures that move horizontally (left or right) or vertically (up or down) by a fixed distance at each step. The movement may be one-dimensional (only horizontal) or two-dimensional (both axes). You must determine the direction and step size to predict the next position.

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 Horizontal Shifting

Horizontal Shifting problems feature figures that move horizontally (left or right) or vertically (up or down) by a fixed distance at each step. The movement may be one-dimensional (only horizontal) or two-dimensional (both axes). You must determine the direction and step size to predict the next position.

Prerequisites

Understanding of left/right and up/down directions Coordinate tracking Fixed increment movement Boundary awareness
Why This Matters: Horizontal Shifting problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test translation pattern recognition.

How to Solve Horizontal Shifting Problems

1

Step 1: Track the x-coordinate (horizontal position) of the figure

2

Step 2: Calculate the shift amount between consecutive figures

3

Step 3: Determine direction (left = negative shift, right = positive shift)

4

Step 4: For vertical movement, track y-coordinate similarly

5

Step 5: Apply the same shift to the last figure's position

6

Step 6: Handle boundaries (figure may wrap or bounce)

7

Step 7: Select the figure at the predicted position

Pro Strategy: Treat the figure's position as coordinates (x,y). If the figure moves only horizontally, y remains constant. Calculate the difference in x between consecutive figures. Apply the same difference to the last figure's x-coordinate.

Example Problem

Example: A square moves right by 15 units each step. Positions: x=20, 35, 50, 65, ___. Find next x-coordinate. Solution: Step 1: X coordinates: 20, 35, 50, 65 Step 2: Shift = +15 each step Step 3: Next x = 65 + 15 = 80 Answer: Square at x=80

Pro Tips & Tricks

  • Horizontal shift: Δx = x₂ - x₁ (positive = right, negative = left)
  • Vertical shift: Δy = y₂ - y₁ (positive = down, negative = up)
  • Shift amount is usually constant
  • The figure may move only horizontally, only vertically, or both
  • Boundaries: figure may stop, wrap to other side, or bounce back
  • The figure's shape and orientation usually remain constant

Shortcut Methods to Solve Faster

Next x = Last x + (x₂ - x₁)
Next y = Last y + (y₂ - y₁)
If shift is constant, use arithmetic progression formula
For right movement, x increases; for left movement, x decreases

Common Mistakes to Avoid

Confusing left shift with right shift
Forgetting to track both x and y when movement is two-dimensional
Not considering boundaries (figure may move out of frame)
Assuming shift is always +1 unit (step size may vary)

Exam Importance

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

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
INSURANCE
1-2 questions

Ready to Master Horizontal Shifting?

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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