Relationship Degree/Distance

Relationship Degree/Distance problems ask for the minimum number of relationship steps (edges) needed to connect two persons in a family tree. Each parent-child, sibling, or spouse connection counts as one step. These problems test your ability to find the shortest path through a family tree graph.

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

Introduction to Relationship Degree/Distance

Relationship Degree/Distance problems ask for the minimum number of relationship steps (edges) needed to connect two persons in a family tree. Each parent-child, sibling, or spouse connection counts as one step. These problems test your ability to find the shortest path through a family tree graph.

Prerequisites

Family tree navigation Graph path concepts Relationship types Step counting
Why This Matters: Relationship Degree problems appear in 0-1 questions in advanced exams. They test graph traversal and path-finding skills in family trees.

How to Solve Relationship Degree/Distance Problems

1

Step 1: Build the complete family tree from given statements.

2

Step 2: Identify the start person and target person.

3

Step 3: Find all possible paths between them through the tree.

4

Step 4: Count the number of relationship edges in each path.

5

Step 5: The minimum number of steps is the length of the shortest path.

6

Step 6: Each edge (direct relationship) counts as one step.

7

Step 7: Express the answer as the number of steps.

Pro Strategy: Treat the family tree as a graph where each direct relationship is an edge. Use breadth-first search mentally to find the shortest path. Count edges, not nodes.

Example Problem

Example: In a family tree: A is parent of B. B is parent of C. C is parent of D. What is the degree of relationship between A and D? Solution: Step 1: Path: A → B (parent-child), B → C (parent-child), C → D (parent-child). Step 2: Number of steps = 3. Answer: 3 steps.

Pro Tips & Tricks

  • Parent-child = 1 step.
  • Sibling = 2 steps (through common parent).
  • Grandparent-grandchild = 2 steps.
  • Cousins = 4 steps (through grandparents).
  • Spouse = 1 step.
  • Aunt/Uncle to niece/nephew = 2 steps.

Shortcut Methods to Solve Faster

Same person: 0 steps.
Direct parent-child: 1 step.
Direct spouse: 1 step.
Siblings: 2 steps (A → parent → B).
Grandparent: 2 steps (A → parent → grandchild).
First cousins: 4 steps (A → parent → grandparent → parent → B).

Common Mistakes to Avoid

Counting nodes instead of edges (steps = edges, not vertices).
Not considering spouse relationships as valid steps.
Missing shorter paths through different connections.
Assuming the most obvious path is always the shortest.

Exam Importance

Relationship Degree/Distance is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
0-1 questions
BANKING PO
0-1 questions
RAILWAYS RRB
0-1 questions
CAT
1-2 questions
INSURANCE
0-1 questions

Ready to Master Relationship Degree/Distance?

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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