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Olympiad-Level: Advanced Mathematical Logic: Worksheet 10 - Expert Practice Olympiad-Level: Advanced Mathematical Logic EXPERT

Ready to master Olympiad-Level: Advanced Mathematical Logic? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve olympiad-level: advanced mathematical logic reasoning tricks, handle fast olympiad-level: advanced mathematical logic solving, and perfect olympiad-level: advanced mathematical logic mastery with our step-by-step solutions.

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

What you'll learn in this worksheet:
Your progress through Olympiad-Level: Advanced Mathematical Logic
Worksheet 10 of 10 (100% complete)

Question 1

7 people (Layla, Skyler, Taylor, Rohan, Lily, Hazel, Ritu) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Rohan and Ritu are exactly 3 floors apart • The difference between floor numbers of Rohan and Lily is 5 • Skyler lives at most 2 floors above Hazel • The product of floor numbers of Taylor and Hazel is 21 On which floor does Lily live?
The unique arrangement (floor: person) is: {1: 'Rohan', 2: 'Layla', 3: 'Hazel', 4: 'Ritu', 5: 'Skyler', 6: 'Lily', 7: 'Taylor'}.

Question 2

7 people (Skyler, Max, Ryan, Preeti, Loki, Manish, Jasmine) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Skyler lives immediately below Loki • Ryan lives on floor 4 • Preeti and Jasmine are exactly 1 floor apart • The sum of floor numbers of Skyler and Loki is 13 • Ryan and Preeti live on consecutive floors • Preeti lives above Manish On which floor does Max live?
The unique arrangement (floor: person) is: {1: 'Manish', 2: 'Jasmine', 3: 'Preeti', 4: 'Ryan', 5: 'Max', 6: 'Skyler', 7: 'Loki'}.

Question 3

6 people (Eva, Ritu, Sam, Parker, Sara, Sakura) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Sakura lives immediately above Eva • The sum of floor numbers of Ritu and Sara is 10 • Ritu and Sam are exactly 3 floors apart • The product of floor numbers of Eva and Sakura is 2 On which floor does Sara live?
The unique arrangement (floor: person) is: {1: 'Eva', 2: 'Sakura', 3: 'Sam', 4: 'Sara', 5: 'Parker', 6: 'Ritu'}.

Question 4

5 people (Sunil, Eva, Mary, Apollo, Daniel) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Eva and Daniel are exactly 1 floor apart • Mary lives above Apollo • The difference between floor numbers of Apollo and Daniel is 3 • Sunil lives immediately below Daniel On which floor does Mary live?
The unique arrangement (floor: person) is: {1: 'Apollo', 2: 'Mary', 3: 'Sunil', 4: 'Daniel', 5: 'Eva'}.

Question 5

5 people (Barbara, Peyton, Reese, Tom, Sara) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Tom's floor number is not divisible by 2 • Barbara lives above Tom • The product of floor numbers of Peyton and Sara is 10 • Peyton lives immediately below Tom On which floor does Sara live?
The unique arrangement (floor: person) is: {1: 'Reese', 2: 'Peyton', 3: 'Tom', 4: 'Barbara', 5: 'Sara'}.

Question 6

7 people (Layla, Pooja, Willow, Hiroshi, Avery, Ben, Matthew) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Avery lives immediately below Layla • The sum of floor numbers of Avery and Ben is 11 • The product of floor numbers of Willow and Matthew is 6 • Willow and Avery live on consecutive floors • The product of floor numbers of Layla and Pooja is 5 On which floor does Matthew live?
The unique arrangement (floor: person) is: {1: 'Pooja', 2: 'Matthew', 3: 'Willow', 4: 'Avery', 5: 'Layla', 6: 'Hiroshi', 7: 'Ben'}.

Question 7

6 people (Meena, Manish, Ankit, Leo, Lily, Hazel) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Ankit lives immediately above Hazel • Hazel lives on the bottom floor • Meena does not live on floor 4 • There are exactly two floors between Leo and Lily • The difference between floor numbers of Meena and Lily is 2 On which floor does Leo live?
The unique arrangement (floor: person) is: {1: 'Hazel', 2: 'Ankit', 3: 'Lily', 4: 'Manish', 5: 'Meena', 6: 'Leo'}.

Question 8

5 people (Preeti, Zoe, Sora, Ahmed, Joshua) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Sora and Ahmed live on consecutive floors • There is exactly one floor between Preeti and Joshua • Preeti lives on the bottom floor • Sora lives at most 2 floors above Zoe On which floor does Zoe live?
The unique arrangement (floor: person) is: {1: 'Preeti', 2: 'Zoe', 3: 'Joshua', 4: 'Sora', 5: 'Ahmed'}.

Question 9

7 people (Sara, Pooja, Ibrahim, James, Omar, Avery, Leo) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • James lives above Leo • Pooja and Omar are exactly 5 floors apart • The product of floor numbers of Sara and Avery is 30 • Omar lives above Avery • The sum of floor numbers of Sara and Ibrahim is 9 • Ibrahim lives on floor 4 On which floor does Ibrahim live?
The unique arrangement (floor: person) is: {1: 'Leo', 2: 'Pooja', 3: 'James', 4: 'Ibrahim', 5: 'Sara', 6: 'Avery', 7: 'Omar'}.

Question 10

7 people (Alex, Hazel, Susan, Zeus, Eva, Rohan, Michael) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Rohan lives immediately below Zeus • The product of floor numbers of Alex and Hazel is 42 • There are exactly two floors between Hazel and Susan • The product of floor numbers of Alex and Michael is 35 On which floor does Hazel live?
The unique arrangement (floor: person) is: {1: 'Rohan', 2: 'Zeus', 3: 'Susan', 4: 'Eva', 5: 'Michael', 6: 'Hazel', 7: 'Alex'}.

Question 11

7 people (Sarah, Patricia, Priya, Riley, Akira, Charlie, Dakota) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Sarah and Priya are exactly 2 floors apart • The product of floor numbers of Priya and Akira is 14 • The difference between floor numbers of Patricia and Priya is 4 • The sum of floor numbers of Patricia and Riley is 4 • The difference between floor numbers of Patricia and Charlie is 3 On which floor does Sarah live?
The unique arrangement (floor: person) is: {1: 'Riley', 2: 'Akira', 3: 'Patricia', 4: 'Dakota', 5: 'Sarah', 6: 'Charlie', 7: 'Priya'}.

Question 12

6 people (Skyler, Tyr, Violet, Ibrahim, Jessica, Sunil) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Violet and Jessica is 1 • There is exactly one floor between Violet and Ibrahim • The sum of floor numbers of Tyr and Violet is 6 • Sunil lives immediately above Violet • Jessica does not live on floor 3 On which floor does Skyler live?
The unique arrangement (floor: person) is: {1: 'Tyr', 2: 'Skyler', 3: 'Ibrahim', 4: 'Jessica', 5: 'Violet', 6: 'Sunil'}.

Question 13

6 people (Logan, Pooja, Alex, Yuki, Rohan, Mia) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Mia lives at most 2 floors above Alex • Alex lives at most 2 floors above Yuki • The sum of floor numbers of Pooja and Yuki is 7 • Mia lives immediately above Pooja • Yuki lives at most 1 floor above Rohan On which floor does Alex live?
The unique arrangement (floor: person) is: {1: 'Rohan', 2: 'Yuki', 3: 'Logan', 4: 'Alex', 5: 'Pooja', 6: 'Mia'}.

Question 14

5 people (Fatima, Shweta, John, Eva, Hassan) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Fatima and Eva is 3 • Shweta lives on an even-numbered floor • Shweta's floor number is divisible by 2 • The sum of floor numbers of Eva and Hassan is 3 On which floor does Shweta live?
The unique arrangement (floor: person) is: {1: 'Eva', 2: 'Hassan', 3: 'Fatima', 4: 'Shweta', 5: 'John'}.

Question 15

6 people (Violet, Aisha, Ritu, Michael, Odin, Jordan) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Aisha lives above Ritu • The sum of floor numbers of Aisha and Jordan is 8 • The product of floor numbers of Violet and Jordan is 3 • The sum of floor numbers of Aisha and Odin is 7 On which floor does Aisha live?
The unique arrangement (floor: person) is: {1: 'Violet', 2: 'Odin', 3: 'Jordan', 4: 'Ritu', 5: 'Aisha', 6: 'Michael'}.

Question 16

5 people (Ritu, Daisy, Logan, Hikari, Jessica) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Ritu and Jessica are exactly 1 floor apart • Logan lives immediately above Daisy • The difference between floor numbers of Ritu and Daisy is 4 • Logan does not live on floor 5 On which floor does Daisy live?
The unique arrangement (floor: person) is: {1: 'Daisy', 2: 'Logan', 3: 'Hikari', 4: 'Jessica', 5: 'Ritu'}.

Question 17

5 people (Cameron, Dakota, Artemis, Yusuf, Skyler) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Skyler lives on an odd-numbered floor • The difference between floor numbers of Cameron and Dakota is 2 • The sum of floor numbers of Yusuf and Skyler is 9 • The sum of floor numbers of Dakota and Artemis is 5 On which floor does Dakota live?
The unique arrangement (floor: person) is: {1: 'Cameron', 2: 'Artemis', 3: 'Dakota', 4: 'Yusuf', 5: 'Skyler'}.

Question 18

6 people (Amy, Max, Elizabeth, William, Patricia, Aisha) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Aisha lives immediately below Patricia • The sum of floor numbers of Amy and William is 4 • The difference between floor numbers of William and Aisha is 2 • There are exactly two floors between Amy and Max On which floor does Amy live?
The unique arrangement (floor: person) is: {1: 'Amy', 2: 'Elizabeth', 3: 'William', 4: 'Max', 5: 'Aisha', 6: 'Patricia'}.

Question 19

7 people (Apollo, Jay, Blake, Kenji, Layla, Raj, Freya) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Apollo and Freya is 12 • The product of floor numbers of Jay and Freya is 7 • There is exactly one floor between Jay and Kenji • Raj lives on floor 4 • Apollo and Layla live on consecutive floors On which floor does Blake live?
The unique arrangement (floor: person) is: {1: 'Jay', 2: 'Blake', 3: 'Kenji', 4: 'Raj', 5: 'Apollo', 6: 'Layla', 7: 'Freya'}.

Question 20

5 people (Hassan, Freya, Rahul, Elizabeth, Riley) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Rahul lives at most 1 floor above Elizabeth • The product of floor numbers of Hassan and Freya is 15 • Riley's floor number is divisible by 2 • Freya lives at most 2 floors above Hassan On which floor does Freya live?
The unique arrangement (floor: person) is: {1: 'Elizabeth', 2: 'Rahul', 3: 'Hassan', 4: 'Riley', 5: 'Freya'}.
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