Three-Step Chain

Three-Step Chain problems extend the two-step concept by linking three or more relationships (e.g., 'A is father of B', 'B is sister of C', 'C is mother of D'). You must find the relationship between the first and last person. These problems test advanced logical chaining and multi-generational reasoning.

10Worksheets
200+Practice Questions
AdvancedDifficulty
3-4 hoursHours to Master

Introduction to Three-Step Chain

Three-Step Chain problems extend the two-step concept by linking three or more relationships (e.g., 'A is father of B', 'B is sister of C', 'C is mother of D'). You must find the relationship between the first and last person. These problems test advanced logical chaining and multi-generational reasoning.

Prerequisites

Two-step chain proficiency Gender tracking Multi-generational understanding Family tree construction
Why This Matters: Three-Step Chain problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test advanced chaining skills.

How to Solve Three-Step Chain Problems

1

Step 1: List all given relationships in order (e.g., A→B, B→C, C→D).

2

Step 2: Identify the starting person (A) and the ending person (D).

3

Step 3: Chain the relationships step by step: A→B, then B→C, then C→D.

4

Step 4: Combine the first two relationships to get A→C, then combine that with C→D.

5

Step 5: Track gender information carefully at each step.

6

Step 6: Draw a small family tree if needed.

7

Step 7: Express the final relationship.

Pro Strategy: Break the long chain into smaller, manageable parts. Combine two relationships at a time. Use the family tree method: place the oldest generation at the top and build downwards.

Example Problem

Example: A is the father of B. B is the sister of C. C is the mother of D. How is A related to D? Solution: Step 1: A → B (father), B → C (sister), C → D (mother). Step 2: Combine A→B and B→C: A is father of B, B is sister of C → A is father of C. Step 3: Combine A→C and C→D: A is father of C, C is mother of D → A is grandfather of D. Answer: A is the grandfather of D.

Pro Tips & Tricks

  • Write the chain as: Person1 → Rel1 → Person2 → Rel2 → Person3 → Rel3 → Person4.
  • Combine from left to right, keeping track of the cumulative relationship.
  • If a step involves a sibling, remember that siblings share parents.
  • If a step involves a parent-child, that's a generational shift.
  • The number of parent-child steps determines the generational gap (1 step = parent/child, 2 steps = grandparent/grandchild, 3 steps = great-grandparent).
  • Sibling relationships do not change generation.

Shortcut Methods to Solve Faster

Father's brother's son = Cousin.
Mother's sister's daughter = Cousin.
Brother's son's daughter = Grand-niece.
Sister's daughter's son = Grand-nephew.
Father's mother's sister = Great-aunt.

Common Mistakes to Avoid

Losing track of gender through the chain.
Adding an extra generation when combining sibling relationships.
Confusing 'uncle' with 'grandfather' (generation gap).
Not drawing a tree for complex chains.

Exam Importance

Three-Step Chain 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
CAT
1-2 questions
INSURANCE
1-2 questions

Ready to Master Three-Step Chain?

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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