Total from Same-Side Ranks
Total from Same-Side Ranks problems give the ranks of two persons from the same end (both from left or both from right) and the rank of one from the opposite end. You must find the total number of persons. These problems test your ability to combine rank information from multiple persons.
What You'll Learn
Introduction to Total from Same-Side Ranks
Total from Same-Side Ranks problems give the ranks of two persons from the same end (both from left or both from right) and the rank of one from the opposite end. You must find the total number of persons. These problems test your ability to combine rank information from multiple persons.
Prerequisites
How to Solve Total from Same-Side Ranks Problems
Step 1: Identify the ranks given: e.g., A's rank from left (L1), B's rank from left (L2), and B's rank from right (R2)
Step 2: Use the formula for B: T = L2 + R2 - 1
Step 3: Alternatively, use A's rank from right if given: R1 = T - L1 + 1
Step 4: Calculate the total directly from one person's data
Step 5: Verify consistency with other person's data
Step 6: Present the total
Example Problem
Example: In a row, A is 12th from left and B is 18th from left. B is also 25th from right. Find total persons. Solution: Step 1: L2 = 18 (B's left rank), R2 = 25 (B's right rank) Step 2: Total persons T = L2 + R2 - 1 = 18 + 25 - 1 = 42 Answer: 42 persons
Pro Tips & Tricks
- For any person, T = Left rank + Right rank - 1
- If a person's both-side ranks are known, total is directly calculated
- Use the person with complete information
- The other person's rank can verify the total
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Total from Same-Side Ranks. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Total from Same-Side Ranks is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Total from Same-Side Ranks?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: