Rank with Group Conditions
Rank with Group Conditions problems involve ranking lists that contain multiple categories (e.g., boys and girls). Given a person's overall rank and the number of persons from a specific category before them, you must find how many from that category are after them. These problems test your ability to work with categorized ranking data.
What You'll Learn
Introduction to Rank with Group Conditions
Rank with Group Conditions problems involve ranking lists that contain multiple categories (e.g., boys and girls). Given a person's overall rank and the number of persons from a specific category before them, you must find how many from that category are after them. These problems test your ability to work with categorized ranking data.
Prerequisites
How to Solve Rank with Group Conditions Problems
Step 1: Identify total persons and category counts (boys, girls)
Step 2: Identify the person's overall rank and category
Step 3: Determine how many from the same category are before them
Step 4: Calculate persons from same category before = given
Step 5: Calculate persons from same category after = total_category - before - 1
Step 6: For opposite category, use similar logic
Step 7: Present the answer
Example Problem
Example: In a class of 60 students (35 boys, 25 girls), Priya ranks 20th from top. There are 8 girls before her. How many girls are after her? Solution: Step 1: Total girls = 25, girls before Priya = 8 Step 2: Priya is a girl (herself counts as 1) Step 3: Girls after = Total girls - Girls before - 1 = 25 - 8 - 1 = 16 Answer: 16 girls
Pro Tips & Tricks
- Total = Boys + Girls
- Rank = (Persons before) + 1
- Persons before = Boys before + Girls before
- For a girl: Girls after = Total girls - Girls before - 1
- For a boy: Boys after = Total boys - Boys before - 1
- The person themselves counts as 1 in their category
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Rank with Group Conditions. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Rank with Group Conditions is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Rank with Group Conditions?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: