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Grouping & Classification: Projects by Skill

Grouping and Classification problems involve dividing a set of people into groups (teams, projects, departments) based on given constraints. Clues include co-membership (X works with Y), exclusion (X does not work with Y), and skill-based allocation. These problems test set partitioning logic.

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

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Grouping & Classification: Projects by Skill

Grouping and Classification problems involve dividing a set of people into groups (teams, projects, departments) based on given constraints. Clues include co-membership (X works with Y), exclusion (X does not work with Y), and skill-based allocation. These problems test set partitioning logic.

Prerequisites

Understanding of set partition Co-membership constraints Exclusion constraints Process of elimination
Why This Matters: Grouping problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test logical partitioning and constraint satisfaction.

How to Solve Grouping & Classification: Projects by Skill Problems

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Step 1: Identify total number of people and number of groups

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Step 2: Determine group sizes (equal or unequal)

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Step 3: List all co-membership constraints (X is in same group as Y)

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Step 4: List all exclusion constraints (X is not in same group as Y)

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Step 5: Start with the most restrictive constraints

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Step 6: Use process of elimination to assign people to groups

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Step 7: Verify that all group size requirements are met

Pro Strategy: Create two (or more) groups as empty sets. Place people who have co-membership constraints together. Use exclusion constraints to separate people into different groups. Ensure group size limits are respected.

Example Problem

Example: Six people divided into two projects of three each. A works with B but not with C. The DevOps person is in same group as Data person. D is not in same group as Design person. The Backend person is not with E. Find which group F belongs to. Solution: Step 1: Two groups of 3 each Step 2: Apply co-membership: A and B together Step 3: Apply exclusion: A not with C → C in other group Step 4: Apply skill constraints to place remaining Step 5: Determine F's group Answer: F in Project A or B based on elimination

Pro Tips & Tricks

  • Start with people who have co-membership constraints (they must be together)
  • Exclusion constraints force people into different groups
  • If group sizes are equal, the number of people in each group is fixed
  • Use a table to track group assignments
  • If a person is forced into a full group, that's a contradiction
  • Skills/attributes may determine group membership indirectly

Shortcut Methods to Solve Faster

Co-membership: X and Y in same group
Exclusion: X and Y in different groups
If group sizes are k and m, total = k + m
Process of elimination: if a group has k-1 members, the last must be the remaining person

Common Mistakes to Avoid

Forgetting that groups have fixed sizes
Placing a person in two different groups
Leaving a group incomplete
Not checking all constraints after assignment

Exam Importance

Grouping & Classification: Projects by Skill 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
0-1 questions
INSURANCE
1-2 questions

Ready to Master Grouping & Classification: Projects by Skill?

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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