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Thesis Defense Scheduling Beginner-Intermediate Worksheet: Focus on common variations practice Thesis Defense Scheduling BEGINNER INTERMEDIATE

Level up your Thesis Defense Scheduling skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: thesis defense scheduling for competitive exams, how to solve thesis defense scheduling, thesis defense scheduling tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Thesis Defense Scheduling
Worksheet 4 of 10 (33% complete)

Question 1

A PhD thesis defense requires all 5 committee members to be present. Their availability (slots 1-8): - Prof. E: Slots 4, 6, 8, 5 - Prof. B: Slots 3, 8, 6, 7 - Prof. C: Slots 2, 7, 8, 4 - Prof. A: Slots 8, 6, 4 - Prof. D: Slots 5, 2 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. E: [4, 5, 6, 8]
∩ Prof. B: [3, 6, 7, 8]
∩ Prof. C: [2, 4, 7, 8]
∩ Prof. A: [4, 6, 8]
∩ Prof. D: [2, 5]
= ∅ (No common slots)

Answer: No common slot available

Question 2

A PhD thesis defense requires all 3 committee members to be present. Their availability (slots 1-8): - Prof. E: Slots 1, 2, 5, 6 - Prof. D: Slots 4, 3, 8 - Prof. A: Slots 4, 6, 5, 7 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. E: [1, 2, 5, 6]
∩ Prof. D: [3, 4, 8]
∩ Prof. A: [4, 5, 6, 7]
= ∅ (No common slots)

Answer: No common slot available

Question 3

A PhD thesis defense requires all 5 committee members to be present. Their availability (slots 1-8): - Prof. A: Slots 7, 3 - Prof. C: Slots 5, 2 - Prof. D: Slots 5, 7 - Prof. B: Slots 4, 8 - Prof. E: Slots 7, 3, 8 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. A: [3, 7]
∩ Prof. C: [2, 5]
∩ Prof. D: [5, 7]
∩ Prof. B: [4, 8]
∩ Prof. E: [3, 7, 8]
= ∅ (No common slots)

Answer: No common slot available

Question 4

A PhD thesis defense requires all 4 committee members to be present. Their availability (slots 1-8): - Prof. A: Slots 1, 6, 5 - Prof. E: Slots 5, 7 - Prof. C: Slots 5, 6, 7 - Prof. B: Slots 8, 4, 7, 2 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. A: [1, 5, 6]
∩ Prof. E: [5, 7]
∩ Prof. C: [5, 6, 7]
∩ Prof. B: [2, 4, 7, 8]
= ∅ (No common slots)

Answer: No common slot available

Question 5

A PhD thesis defense requires all 4 committee members to be present. Their availability (slots 1-8): - Prof. E: Slots 3, 8, 7, 4 - Prof. D: Slots 8, 6, 3, 4 - Prof. A: Slots 7, 6, 1 - Prof. C: Slots 3, 2 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. E: [3, 4, 7, 8]
∩ Prof. D: [3, 4, 6, 8]
∩ Prof. A: [1, 6, 7]
∩ Prof. C: [2, 3]
= ∅ (No common slots)

Answer: No common slot available

Question 6

A PhD thesis defense requires all 4 committee members to be present. Their availability (slots 1-8): - Prof. B: Slots 8, 7, 4, 2 - Prof. E: Slots 4, 2, 3, 8 - Prof. C: Slots 4, 3, 6, 5 - Prof. A: Slots 6, 2, 4 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. B: [2, 4, 7, 8]
∩ Prof. E: [2, 3, 4, 8]
∩ Prof. C: [3, 4, 5, 6]
∩ Prof. A: [2, 4, 6]
= [4]

2. Earliest common slot: Slot 4

Answer: Slot 4

Question 7

A PhD thesis defense requires all 5 committee members to be present. Their availability (slots 1-8): - Prof. B: Slots 4, 1, 6 - Prof. D: Slots 8, 7 - Prof. C: Slots 4, 6, 5, 8 - Prof. A: Slots 8, 3, 2, 5 - Prof. E: Slots 5, 3, 6 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. B: [1, 4, 6]
∩ Prof. D: [7, 8]
∩ Prof. C: [4, 5, 6, 8]
∩ Prof. A: [2, 3, 5, 8]
∩ Prof. E: [3, 5, 6]
= ∅ (No common slots)

Answer: No common slot available

Question 8

A PhD thesis defense requires all 4 committee members to be present. Their availability (slots 1-8): - Prof. E: Slots 8, 1 - Prof. A: Slots 7, 4 - Prof. B: Slots 2, 1 - Prof. C: Slots 7, 8 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. E: [1, 8]
∩ Prof. A: [4, 7]
∩ Prof. B: [1, 2]
∩ Prof. C: [7, 8]
= ∅ (No common slots)

Answer: No common slot available

Question 9

A PhD thesis defense requires all 5 committee members to be present. Their availability (slots 1-8): - Prof. E: Slots 8, 5, 1, 6 - Prof. C: Slots 4, 6, 5, 7 - Prof. B: Slots 2, 4, 6, 3 - Prof. D: Slots 1, 6 - Prof. A: Slots 7, 2, 5 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. E: [1, 5, 6, 8]
∩ Prof. C: [4, 5, 6, 7]
∩ Prof. B: [2, 3, 4, 6]
∩ Prof. D: [1, 6]
∩ Prof. A: [2, 5, 7]
= ∅ (No common slots)

Answer: No common slot available

Question 10

A PhD thesis defense requires all 3 committee members to be present. Their availability (slots 1-8): - Prof. A: Slots 7, 2 - Prof. E: Slots 5, 1, 4 - Prof. B: Slots 1, 6, 8 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. A: [2, 7]
∩ Prof. E: [1, 4, 5]
∩ Prof. B: [1, 6, 8]
= ∅ (No common slots)

Answer: No common slot available

Question 11

A PhD thesis defense requires all 4 committee members to be present. Their availability (slots 1-8): - Prof. B: Slots 6, 3, 1, 8 - Prof. D: Slots 3, 4 - Prof. E: Slots 6, 8, 1 - Prof. C: Slots 4, 7, 1 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. B: [1, 3, 6, 8]
∩ Prof. D: [3, 4]
∩ Prof. E: [1, 6, 8]
∩ Prof. C: [1, 4, 7]
= ∅ (No common slots)

Answer: No common slot available

Question 12

A PhD thesis defense requires all 3 committee members to be present. Their availability (slots 1-8): - Prof. B: Slots 8, 4, 1, 7 - Prof. D: Slots 4, 7, 6 - Prof. C: Slots 5, 6, 2, 4 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. B: [1, 4, 7, 8]
∩ Prof. D: [4, 6, 7]
∩ Prof. C: [2, 4, 5, 6]
= [4]

2. Earliest common slot: Slot 4

Answer: Slot 4

Question 13

A PhD thesis defense requires all 4 committee members to be present. Their availability (slots 1-8): - Prof. C: Slots 8, 3, 5, 6 - Prof. A: Slots 4, 5, 7 - Prof. E: Slots 1, 3, 8, 2 - Prof. B: Slots 3, 7, 6, 5 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. C: [3, 5, 6, 8]
∩ Prof. A: [4, 5, 7]
∩ Prof. E: [1, 2, 3, 8]
∩ Prof. B: [3, 5, 6, 7]
= ∅ (No common slots)

Answer: No common slot available

Question 14

A PhD thesis defense requires all 3 committee members to be present. Their availability (slots 1-8): - Prof. E: Slots 5, 7, 4 - Prof. C: Slots 5, 6, 2, 4 - Prof. A: Slots 1, 5, 6 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. E: [4, 5, 7]
∩ Prof. C: [2, 4, 5, 6]
∩ Prof. A: [1, 5, 6]
= [5]

2. Earliest common slot: Slot 5

Answer: Slot 5

Question 15

A PhD thesis defense requires all 5 committee members to be present. Their availability (slots 1-8): - Prof. C: Slots 4, 7, 1, 5 - Prof. D: Slots 6, 5 - Prof. B: Slots 5, 3 - Prof. E: Slots 4, 5, 6 - Prof. A: Slots 1, 4, 6, 8 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. C: [1, 4, 5, 7]
∩ Prof. D: [5, 6]
∩ Prof. B: [3, 5]
∩ Prof. E: [4, 5, 6]
∩ Prof. A: [1, 4, 6, 8]
= ∅ (No common slots)

Answer: No common slot available

Question 16

A PhD thesis defense requires all 5 committee members to be present. Their availability (slots 1-8): - Prof. B: Slots 6, 3, 2, 7 - Prof. C: Slots 1, 2 - Prof. E: Slots 4, 2 - Prof. D: Slots 6, 1 - Prof. A: Slots 4, 7 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. B: [2, 3, 6, 7]
∩ Prof. C: [1, 2]
∩ Prof. E: [2, 4]
∩ Prof. D: [1, 6]
∩ Prof. A: [4, 7]
= ∅ (No common slots)

Answer: No common slot available

Question 17

A PhD thesis defense requires all 3 committee members to be present. Their availability (slots 1-8): - Prof. D: Slots 7, 4 - Prof. C: Slots 5, 7 - Prof. A: Slots 2, 6, 7, 8 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. D: [4, 7]
∩ Prof. C: [5, 7]
∩ Prof. A: [2, 6, 7, 8]
= [7]

2. Earliest common slot: Slot 7

Answer: Slot 7

Question 18

A PhD thesis defense requires all 3 committee members to be present. Their availability (slots 1-8): - Prof. B: Slots 3, 8 - Prof. D: Slots 7, 6, 4 - Prof. E: Slots 3, 5 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. B: [3, 8]
∩ Prof. D: [4, 6, 7]
∩ Prof. E: [3, 5]
= ∅ (No common slots)

Answer: No common slot available

Question 19

A PhD thesis defense requires all 4 committee members to be present. Their availability (slots 1-8): - Prof. B: Slots 8, 6, 4, 5 - Prof. A: Slots 6, 2, 4 - Prof. E: Slots 8, 3, 1, 6 - Prof. C: Slots 6, 4, 3, 2 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. B: [4, 5, 6, 8]
∩ Prof. A: [2, 4, 6]
∩ Prof. E: [1, 3, 6, 8]
∩ Prof. C: [2, 3, 4, 6]
= [6]

2. Earliest common slot: Slot 6

Answer: Slot 6

Question 20

A PhD thesis defense requires all 3 committee members to be present. Their availability (slots 1-8): - Prof. A: Slots 2, 1, 5, 7 - Prof. E: Slots 1, 7, 6 - Prof. B: Slots 1, 3, 7, 4 What is the earliest slot when all can attend?
Step-by-step solution:

1. Find intersection of availability:
Prof. A: [1, 2, 5, 7]
∩ Prof. E: [1, 6, 7]
∩ Prof. B: [1, 3, 4, 7]
= [1, 7]

2. Earliest common slot: Slot 1

Answer: Slot 1
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