What's the best way to master Middle Position Overlapping Case quickly?

Master Middle Position Overlapping Case by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Middle Position (Overlapping)

Middle Position Overlapping problems occur when the ranks of two persons from opposite ends overlap (their positions cross). Given the total persons and the ranks, you can find how many persons are between them. These problems test your ability to handle overlapping positional relationships.

10Worksheets

200+Practice Questions

HardDifficulty

2-3 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 Middle Position (Overlapping)

Prerequisites

Position from one side concepts Understanding of overlapping vs non-overlapping Formula: Between = L1 + R2 - T - 2 Condition: L1 + R2 > T + 1 indicates overlap

Why This Matters: Overlapping Middle Position problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test understanding of overlapping rank scenarios.

How to Solve Middle Position (Overlapping) Problems

Step 1: Identify the ranks: L1 = rank of first person from left, R2 = rank of second person from right

Step 2: Check if L1 + R2 > T + 1 (overlap condition)

Step 3: For overlapping case, persons between = L1 + R2 - T - 2

Step 4: For total given between, T = L1 + R2 - B - 2

Step 5: Ensure the result is non-negative

Step 6: Verify that the positions indeed overlap

Step 7: Present the answer

Pro Strategy: First check if the ranks overlap using L1 + R2 > T + 1. If true, use the overlapping formula B = L1 + R2 - T - 2. If false, use non-overlapping formula B = T - L1 - R2.

Example Problem

Example: In a row of 40 persons, A is 25th from left and B is 30th from right. How many persons are between A and B? Solution: Step 1: L1 = 25, R2 = 30, T = 40 Step 2: Check overlap: L1 + R2 = 55 > T + 1 = 41 → overlapping Step 3: Persons between = L1 + R2 - T - 2 = 25 + 30 - 40 - 2 = 13 Answer: 13 persons

Pro Tips & Tricks

Overlap condition: L1 + R2 > T + 1
Non-overlap condition: L1 + R2 ≤ T + 1
Overlapping formula: B = L1 + R2 - T - 2
Non-overlapping formula: B = T - L1 - R2
When L1 + R2 = T + 1, the persons are adjacent (0 between)

Shortcut Methods to Solve Faster

If L + R > T + 1 → overlapping, between = L + R - T - 2

If L + R < T + 1 → non-overlapping, between = T - L - R

The sum of left and right ranks indicates overlap

Common Mistakes to Avoid

Using the wrong formula for overlapping vs non-overlapping

Forgetting to subtract 2 (not 1) in overlapping formula

Not checking the overlap condition first

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Middle Position (Overlapping). Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems