Family Counting

Family Counting problems require you to determine the number of males, females, or total members in a family based on given relationship statements. These problems test your ability to build a family tree and count individuals without duplication.

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

Introduction to Family Counting

Family Counting problems require you to determine the number of males, females, or total members in a family based on given relationship statements. These problems test your ability to build a family tree and count individuals without duplication.

Prerequisites

Basic family relationships Family tree construction Counting without duplication Deduction of implied family members
Why This Matters: Family Counting problems appear in 1-2 questions in SSC CGL and Banking exams. They test systematic family tree construction.

How to Solve Family Counting Problems

1

Step 1: List all persons mentioned by name in the statements

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Step 2: Identify relationships between these persons

3

Step 3: Draw a family tree showing all connections

4

Step 4: Identify implied family members (e.g., parents of someone mentioned)

5

Step 5: Count distinct individuals in the family tree

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Step 6: Count males and females based on relationship terms

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Step 7: Answer the specific counting question

Pro Strategy: Always identify gender from relationship terms. Count minimum and maximum possibilities when genders are not specified. Draw a family tree to visualize all connections and avoid double-counting.

Example Problem

Example: In a family, A is the father of B and C. B is the mother of D. How many females are there in the family? Solution: Step 1: Named persons: A, B, C, D Step 2: A is father → A is male Step 3: B is mother → B is female Step 4: C's gender not specified (could be male or female) Step 5: D's gender not specified (could be male or female) Step 6: Minimum females: B only (1) Step 7: Maximum females: B, C, D (3) if C and D are female Answer: At least 1 female (B)

Pro Tips & Tricks

  • Start with known genders from relationship terms
  • Use symbols: □ for male, ○ for female, ? for unknown
  • Each parent-child relationship implies two parents exist
  • A 'father' implies a mother also exists (though maybe not named)
  • A 'mother' implies a father also exists
  • Sibling relationships imply shared parents

Shortcut Methods to Solve Faster

Each marriage implies 2 persons (husband and wife)
Each parent-child link adds 1 child
Minimum family size = named persons + implied but unnamed parents
Use family tree diagrams for complex counting

Common Mistakes to Avoid

Double-counting the same person with different names
Forgetting implied parents (father implies mother exists)
Assuming gender when not specified
Counting relationships instead of individuals

Exam Importance

Family Counting 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

Ready to Master Family Counting?

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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