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Constraint Redundancy - Expert Level: conceptual clarity Constraint Redundancy EXPERT

This skill evaluation ⚡ worksheet focuses on Constraint Redundancy - a key topic in Scheduling. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master constraint redundancy ssc cgl, constraint redundancy reasoning tricks, and fast constraint redundancy solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Constraint Redundancy
Worksheet 9 of 10 (88% complete)

Question 1

Four tasks (Task 3, Task 2, Task 4, Task 1) must be scheduled with these constraints: 1. Task 3 must be before Task 2 2. Task 2 must be before Task 4 3. Task 3 must be before Task 4 4. Task 1 must be after Task 4 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 3 must be before Task 2
2. Task 2 must be before Task 4
3. Task 3 must be before Task 4
4. Task 1 must be after Task 4

2. Check for transitive relationships:
- From Constraint 1: Task 3 before Task 2
- From Constraint 2: Task 2 before Task 4
- By transitivity: Task 3 before Task 4
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 1 after Task 4) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 2

Four tasks (Task 1, Task 4, Task 3, Task 2) must be scheduled with these constraints: 1. Task 1 must be before Task 4 2. Task 4 must be before Task 3 3. Task 1 must be before Task 3 4. Task 2 must be after Task 3 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 1 must be before Task 4
2. Task 4 must be before Task 3
3. Task 1 must be before Task 3
4. Task 2 must be after Task 3

2. Check for transitive relationships:
- From Constraint 1: Task 1 before Task 4
- From Constraint 2: Task 4 before Task 3
- By transitivity: Task 1 before Task 3
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 3) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 3

Four tasks (Task 4, Task 3, Task 1, Task 2) must be scheduled with these constraints: 1. Task 4 must be before Task 3 2. Task 3 must be before Task 1 3. Task 4 must be before Task 1 4. Task 2 must be after Task 1 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 4 must be before Task 3
2. Task 3 must be before Task 1
3. Task 4 must be before Task 1
4. Task 2 must be after Task 1

2. Check for transitive relationships:
- From Constraint 1: Task 4 before Task 3
- From Constraint 2: Task 3 before Task 1
- By transitivity: Task 4 before Task 1
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 1) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 4

Four tasks (Task 2, Task 1, Task 3, Task 4) must be scheduled with these constraints: 1. Task 2 must be before Task 1 2. Task 1 must be before Task 3 3. Task 2 must be before Task 3 4. Task 4 must be after Task 3 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 2 must be before Task 1
2. Task 1 must be before Task 3
3. Task 2 must be before Task 3
4. Task 4 must be after Task 3

2. Check for transitive relationships:
- From Constraint 1: Task 2 before Task 1
- From Constraint 2: Task 1 before Task 3
- By transitivity: Task 2 before Task 3
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 4 after Task 3) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 5

Four tasks (Task 1, Task 4, Task 3, Task 2) must be scheduled with these constraints: 1. Task 1 must be before Task 4 2. Task 4 must be before Task 3 3. Task 1 must be before Task 3 4. Task 2 must be after Task 3 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 1 must be before Task 4
2. Task 4 must be before Task 3
3. Task 1 must be before Task 3
4. Task 2 must be after Task 3

2. Check for transitive relationships:
- From Constraint 1: Task 1 before Task 4
- From Constraint 2: Task 4 before Task 3
- By transitivity: Task 1 before Task 3
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 3) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 6

Four tasks (Task 1, Task 3, Task 4, Task 2) must be scheduled with these constraints: 1. Task 1 must be before Task 3 2. Task 3 must be before Task 4 3. Task 1 must be before Task 4 4. Task 2 must be after Task 4 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 1 must be before Task 3
2. Task 3 must be before Task 4
3. Task 1 must be before Task 4
4. Task 2 must be after Task 4

2. Check for transitive relationships:
- From Constraint 1: Task 1 before Task 3
- From Constraint 2: Task 3 before Task 4
- By transitivity: Task 1 before Task 4
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 4) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 7

Four tasks (Task 4, Task 1, Task 3, Task 2) must be scheduled with these constraints: 1. Task 4 must be before Task 1 2. Task 1 must be before Task 3 3. Task 4 must be before Task 3 4. Task 2 must be after Task 3 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 4 must be before Task 1
2. Task 1 must be before Task 3
3. Task 4 must be before Task 3
4. Task 2 must be after Task 3

2. Check for transitive relationships:
- From Constraint 1: Task 4 before Task 1
- From Constraint 2: Task 1 before Task 3
- By transitivity: Task 4 before Task 3
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 3) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 8

Four tasks (Task 3, Task 4, Task 2, Task 1) must be scheduled with these constraints: 1. Task 3 must be before Task 4 2. Task 4 must be before Task 2 3. Task 3 must be before Task 2 4. Task 1 must be after Task 2 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 3 must be before Task 4
2. Task 4 must be before Task 2
3. Task 3 must be before Task 2
4. Task 1 must be after Task 2

2. Check for transitive relationships:
- From Constraint 1: Task 3 before Task 4
- From Constraint 2: Task 4 before Task 2
- By transitivity: Task 3 before Task 2
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 1 after Task 2) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 9

Four tasks (Task 4, Task 3, Task 1, Task 2) must be scheduled with these constraints: 1. Task 4 must be before Task 3 2. Task 3 must be before Task 1 3. Task 4 must be before Task 1 4. Task 2 must be after Task 1 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 4 must be before Task 3
2. Task 3 must be before Task 1
3. Task 4 must be before Task 1
4. Task 2 must be after Task 1

2. Check for transitive relationships:
- From Constraint 1: Task 4 before Task 3
- From Constraint 2: Task 3 before Task 1
- By transitivity: Task 4 before Task 1
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 1) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 10

Four tasks (Task 4, Task 2, Task 1, Task 3) must be scheduled with these constraints: 1. Task 4 must be before Task 2 2. Task 2 must be before Task 1 3. Task 4 must be before Task 1 4. Task 3 must be after Task 1 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 4 must be before Task 2
2. Task 2 must be before Task 1
3. Task 4 must be before Task 1
4. Task 3 must be after Task 1

2. Check for transitive relationships:
- From Constraint 1: Task 4 before Task 2
- From Constraint 2: Task 2 before Task 1
- By transitivity: Task 4 before Task 1
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 3 after Task 1) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 11

Four tasks (Task 1, Task 3, Task 2, Task 4) must be scheduled with these constraints: 1. Task 1 must be before Task 3 2. Task 3 must be before Task 2 3. Task 1 must be before Task 2 4. Task 4 must be after Task 2 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 1 must be before Task 3
2. Task 3 must be before Task 2
3. Task 1 must be before Task 2
4. Task 4 must be after Task 2

2. Check for transitive relationships:
- From Constraint 1: Task 1 before Task 3
- From Constraint 2: Task 3 before Task 2
- By transitivity: Task 1 before Task 2
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 4 after Task 2) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 12

Four tasks (Task 4, Task 3, Task 1, Task 2) must be scheduled with these constraints: 1. Task 4 must be before Task 3 2. Task 3 must be before Task 1 3. Task 4 must be before Task 1 4. Task 2 must be after Task 1 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 4 must be before Task 3
2. Task 3 must be before Task 1
3. Task 4 must be before Task 1
4. Task 2 must be after Task 1

2. Check for transitive relationships:
- From Constraint 1: Task 4 before Task 3
- From Constraint 2: Task 3 before Task 1
- By transitivity: Task 4 before Task 1
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 1) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 13

Four tasks (Task 2, Task 1, Task 4, Task 3) must be scheduled with these constraints: 1. Task 2 must be before Task 1 2. Task 1 must be before Task 4 3. Task 2 must be before Task 4 4. Task 3 must be after Task 4 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 2 must be before Task 1
2. Task 1 must be before Task 4
3. Task 2 must be before Task 4
4. Task 3 must be after Task 4

2. Check for transitive relationships:
- From Constraint 1: Task 2 before Task 1
- From Constraint 2: Task 1 before Task 4
- By transitivity: Task 2 before Task 4
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 3 after Task 4) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 14

Four tasks (Task 3, Task 1, Task 4, Task 2) must be scheduled with these constraints: 1. Task 3 must be before Task 1 2. Task 1 must be before Task 4 3. Task 3 must be before Task 4 4. Task 2 must be after Task 4 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 3 must be before Task 1
2. Task 1 must be before Task 4
3. Task 3 must be before Task 4
4. Task 2 must be after Task 4

2. Check for transitive relationships:
- From Constraint 1: Task 3 before Task 1
- From Constraint 2: Task 1 before Task 4
- By transitivity: Task 3 before Task 4
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 4) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 15

Four tasks (Task 4, Task 2, Task 1, Task 3) must be scheduled with these constraints: 1. Task 4 must be before Task 2 2. Task 2 must be before Task 1 3. Task 4 must be before Task 1 4. Task 3 must be after Task 1 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 4 must be before Task 2
2. Task 2 must be before Task 1
3. Task 4 must be before Task 1
4. Task 3 must be after Task 1

2. Check for transitive relationships:
- From Constraint 1: Task 4 before Task 2
- From Constraint 2: Task 2 before Task 1
- By transitivity: Task 4 before Task 1
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 3 after Task 1) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 16

Four tasks (Task 2, Task 3, Task 4, Task 1) must be scheduled with these constraints: 1. Task 2 must be before Task 3 2. Task 3 must be before Task 4 3. Task 2 must be before Task 4 4. Task 1 must be after Task 4 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 2 must be before Task 3
2. Task 3 must be before Task 4
3. Task 2 must be before Task 4
4. Task 1 must be after Task 4

2. Check for transitive relationships:
- From Constraint 1: Task 2 before Task 3
- From Constraint 2: Task 3 before Task 4
- By transitivity: Task 2 before Task 4
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 1 after Task 4) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 17

Four tasks (Task 4, Task 3, Task 1, Task 2) must be scheduled with these constraints: 1. Task 4 must be before Task 3 2. Task 3 must be before Task 1 3. Task 4 must be before Task 1 4. Task 2 must be after Task 1 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 4 must be before Task 3
2. Task 3 must be before Task 1
3. Task 4 must be before Task 1
4. Task 2 must be after Task 1

2. Check for transitive relationships:
- From Constraint 1: Task 4 before Task 3
- From Constraint 2: Task 3 before Task 1
- By transitivity: Task 4 before Task 1
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 1) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 18

Four tasks (Task 1, Task 4, Task 2, Task 3) must be scheduled with these constraints: 1. Task 1 must be before Task 4 2. Task 4 must be before Task 2 3. Task 1 must be before Task 2 4. Task 3 must be after Task 2 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 1 must be before Task 4
2. Task 4 must be before Task 2
3. Task 1 must be before Task 2
4. Task 3 must be after Task 2

2. Check for transitive relationships:
- From Constraint 1: Task 1 before Task 4
- From Constraint 2: Task 4 before Task 2
- By transitivity: Task 1 before Task 2
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 3 after Task 2) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 19

Four tasks (Task 3, Task 1, Task 4, Task 2) must be scheduled with these constraints: 1. Task 3 must be before Task 1 2. Task 1 must be before Task 4 3. Task 3 must be before Task 4 4. Task 2 must be after Task 4 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 3 must be before Task 1
2. Task 1 must be before Task 4
3. Task 3 must be before Task 4
4. Task 2 must be after Task 4

2. Check for transitive relationships:
- From Constraint 1: Task 3 before Task 1
- From Constraint 2: Task 1 before Task 4
- By transitivity: Task 3 before Task 4
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 2 after Task 4) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).

Question 20

Four tasks (Task 2, Task 3, Task 1, Task 4) must be scheduled with these constraints: 1. Task 2 must be before Task 3 2. Task 3 must be before Task 1 3. Task 2 must be before Task 1 4. Task 4 must be after Task 1 Which constraint is REDUNDANT (does not add new information beyond the others)?
Step-by-step solution (Redundancy Detection):

1. List all constraints:
1. Task 2 must be before Task 3
2. Task 3 must be before Task 1
3. Task 2 must be before Task 1
4. Task 4 must be after Task 1

2. Check for transitive relationships:
- From Constraint 1: Task 2 before Task 3
- From Constraint 2: Task 3 before Task 1
- By transitivity: Task 2 before Task 1
- This makes Constraint 3 unnecessary (redundant)

3. Verify other constraints are independent:
- Constraint 4 (Task 4 after Task 1) adds unique information

Answer: Constraint 3 is redundant

Key Strategy: Look for transitive relationships (A→B, B→C implies A→C).
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