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Olympiad-Level: Advanced Mathematical Logic - Intermediate Level: tricky scenarios handling Olympiad-Level: Advanced Mathematical Logic INTERMEDIATE

This expert challenge 📈 worksheet focuses on Olympiad-Level: Advanced Mathematical Logic - a key topic in Floor Puzzles. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve olympiad-level: advanced mathematical logic, olympiad-level: advanced mathematical logic tricks, and olympiad-level: advanced mathematical logic shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Olympiad-Level: Advanced Mathematical Logic
Worksheet 5 of 10 (44% complete)

Question 1

5 people (Divya, Riley, Susan, Ritu, Hazel) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Divya lives immediately below Hazel • The sum of floor numbers of Divya and Riley is 5 • Riley does not live on floor 3 • Ritu lives on an even-numbered floor On which floor does Riley live?
The unique arrangement (floor: person) is: {1: 'Riley', 2: 'Ritu', 3: 'Susan', 4: 'Divya', 5: 'Hazel'}.

Question 2

6 people (David, Leo, Rahul, Daisy, Apollo, Iris) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • David and Rahul are exactly 2 floors apart • Daisy lives above David • David lives on an odd-numbered floor • David and Daisy are exactly 2 floors apart • Leo and Daisy are exactly 3 floors apart • The difference between floor numbers of Rahul and Iris is 3 On which floor does Iris live?
The unique arrangement (floor: person) is: {1: 'Rahul', 2: 'Leo', 3: 'David', 4: 'Iris', 5: 'Daisy', 6: 'Apollo'}.

Question 3

7 people (Pankaj, Kaito, Thor, Zoe, Joshua, Mia, Dakota) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Mia lives above Pankaj • There is exactly one floor between Kaito and Joshua • Kaito lives at most 1 floor above Pankaj • Zoe lives on floor 2 • The sum of floor numbers of Thor and Zoe is 7 On which floor does Zoe live?
The unique arrangement (floor: person) is: {1: 'Dakota', 2: 'Zoe', 3: 'Pankaj', 4: 'Kaito', 5: 'Thor', 6: 'Joshua', 7: 'Mia'}.

Question 4

5 people (Mia, Linda, Meena, Artemis, Kaito) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Linda and Meena is 1 • The product of floor numbers of Linda and Artemis is 20 • Mia does not live on floor 1 • Mia's floor number is not divisible by 4 On which floor does Kaito live?
The unique arrangement (floor: person) is: {1: 'Kaito', 2: 'Mia', 3: 'Meena', 4: 'Linda', 5: 'Artemis'}.

Question 5

6 people (William, Jennifer, Hassan, Meena, Barbara, Sidney) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Meena lives immediately below Hassan • Jennifer and Meena are exactly 1 floor apart • William lives immediately below Jennifer • The product of floor numbers of Hassan and Barbara is 6 On which floor does William live?
The unique arrangement (floor: person) is: {1: 'Barbara', 2: 'Sidney', 3: 'William', 4: 'Jennifer', 5: 'Meena', 6: 'Hassan'}.

Question 6

5 people (Akira, Michael, Parker, Willow, Susan) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Akira and Parker is 6 • Willow lives above Susan • Parker lives immediately below Michael • Parker lives at most 1 floor above Susan On which floor does Akira live?
The unique arrangement (floor: person) is: {1: 'Susan', 2: 'Parker', 3: 'Michael', 4: 'Akira', 5: 'Willow'}.

Question 7

5 people (Hassan, Sam, Manish, Avery, Linda) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Hassan and Manish is 5 • The sum of floor numbers of Sam and Avery is 5 • Sam lives on floor 1 • Sam lives immediately below Manish On which floor does Avery live?
The unique arrangement (floor: person) is: {1: 'Sam', 2: 'Manish', 3: 'Hassan', 4: 'Avery', 5: 'Linda'}.

Question 8

5 people (Mary, Jennifer, Max, Preeti, Cameron) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Max and Cameron is 3 • Cameron's floor number is not divisible by 2 • Mary lives above Preeti • The sum of floor numbers of Max and Preeti is 5 On which floor does Jennifer live?
The unique arrangement (floor: person) is: {1: 'Jennifer', 2: 'Max', 3: 'Preeti', 4: 'Mary', 5: 'Cameron'}.

Question 9

6 people (David, Amy, Pankaj, Eva, Hazel, Yusuf) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • There is exactly one floor between David and Pankaj • Amy lives on floor 3 • The sum of floor numbers of Hazel and Yusuf is 11 • The sum of floor numbers of Amy and Pankaj is 5 • The difference between floor numbers of Amy and Yusuf is 3 On which floor does Amy live?
The unique arrangement (floor: person) is: {1: 'Eva', 2: 'Pankaj', 3: 'Amy', 4: 'David', 5: 'Hazel', 6: 'Yusuf'}.

Question 10

7 people (Rose, Raj, Sara, Casey, Barbara, Rohan, Amy) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Rose and Rohan is 8 • Casey and Rohan are exactly 1 floor apart • The product of floor numbers of Raj and Barbara is 14 • The sum of floor numbers of Barbara and Rohan is 10 • The sum of floor numbers of Raj and Sara is 3 On which floor does Casey live?
The unique arrangement (floor: person) is: {1: 'Sara', 2: 'Raj', 3: 'Rohan', 4: 'Casey', 5: 'Rose', 6: 'Amy', 7: 'Barbara'}.

Question 11

5 people (Hermes, Manish, Susan, Sora, Preeti) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Preeti lives on floor 4 • The sum of floor numbers of Manish and Susan is 4 • The difference between floor numbers of Susan and Sora is 1 • Susan lives above Manish On which floor does Preeti live?
The unique arrangement (floor: person) is: {1: 'Manish', 2: 'Sora', 3: 'Susan', 4: 'Preeti', 5: 'Hermes'}.

Question 12

7 people (Michael, Jessica, Loki, Leo, Omar, Meena, Sarah) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Meena lives at most 2 floors above Michael • Omar lives on floor 4 • The difference between floor numbers of Jessica and Loki is 3 • The difference between floor numbers of Jessica and Leo is 2 • The difference between floor numbers of Michael and Jessica is 4 On which floor does Omar live?
The unique arrangement (floor: person) is: {1: 'Michael', 2: 'Loki', 3: 'Meena', 4: 'Omar', 5: 'Jessica', 6: 'Sarah', 7: 'Leo'}.

Question 13

5 people (Hikari, Preeti, Jasmine, Lily, Jennifer) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Jasmine and Lily are exactly 1 floor apart • There are exactly two floors between Hikari and Lily • Jennifer lives immediately below Lily • There is exactly one floor between Hikari and Jennifer On which floor does Preeti live?
The unique arrangement (floor: person) is: {1: 'Hikari', 2: 'Preeti', 3: 'Jennifer', 4: 'Lily', 5: 'Jasmine'}.

Question 14

6 people (Fatima, Kenji, Logan, Aisha, Priya, Devin) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Fatima and Logan is 2 • The product of floor numbers of Kenji and Devin is 15 • The product of floor numbers of Kenji and Aisha is 18 • Fatima lives at most 2 floors above Logan On which floor does Logan live?
The unique arrangement (floor: person) is: {1: 'Priya', 2: 'Logan', 3: 'Kenji', 4: 'Fatima', 5: 'Devin', 6: 'Aisha'}.

Question 15

6 people (Ritu, Karen, Jessica, Robert, Apollo, Noor) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Karen and Noor are exactly 1 floor apart • Robert lives immediately below Jessica • Ritu lives above Robert • Noor lives immediately below Ritu • Apollo lives at most 2 floors above Noor On which floor does Ritu live?
The unique arrangement (floor: person) is: {1: 'Robert', 2: 'Jessica', 3: 'Karen', 4: 'Noor', 5: 'Ritu', 6: 'Apollo'}.

Question 16

6 people (Vikram, Anjali, Sidney, Neha, Daisy, Mary) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Sidney lives at most 1 floor above Anjali • Sidney does not live on floor 3 • Mary lives above Daisy • Daisy lives on an even-numbered floor • The difference between floor numbers of Vikram and Daisy is 3 On which floor does Anjali live?
The unique arrangement (floor: person) is: {1: 'Neha', 2: 'Daisy', 3: 'Anjali', 4: 'Sidney', 5: 'Vikram', 6: 'Mary'}.

Question 17

6 people (Dakota, Michael, Yuki, Priya, Fatima, Sunil) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Priya and Sunil is 12 • The difference between floor numbers of Michael and Yuki is 1 • Yuki lives on an even-numbered floor • There are exactly two floors between Fatima and Sunil • Dakota lives on floor 5 On which floor does Priya live?
The unique arrangement (floor: person) is: {1: 'Michael', 2: 'Yuki', 3: 'Sunil', 4: 'Priya', 5: 'Dakota', 6: 'Fatima'}.

Question 18

5 people (Taylor, Devin, Willow, Violet, Artemis) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Devin and Artemis are exactly 4 floors apart • The sum of floor numbers of Violet and Artemis is 5 • Taylor does not live on floor 4 • Willow does not live on floor 3 On which floor does Taylor live?
The unique arrangement (floor: person) is: {1: 'Artemis', 2: 'Willow', 3: 'Taylor', 4: 'Violet', 5: 'Devin'}.

Question 19

5 people (Artemis, Mia, Daisy, Kaito, Ibrahim) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Mia and Ibrahim is 1 • Artemis's floor number is not divisible by 4 • Ibrahim lives immediately above Daisy • The product of floor numbers of Kaito and Ibrahim is 3 On which floor does Daisy live?
The unique arrangement (floor: person) is: {1: 'Kaito', 2: 'Daisy', 3: 'Ibrahim', 4: 'Mia', 5: 'Artemis'}.

Question 20

6 people (Taylor, Akira, Susan, Elizabeth, Hiroshi, Dakota) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Taylor and Akira is 2 • Elizabeth lives on an odd-numbered floor • Elizabeth lives immediately below Dakota • Susan lives above Hiroshi • The product of floor numbers of Taylor and Hiroshi is 6 On which floor does Hiroshi live?
The unique arrangement (floor: person) is: {1: 'Akira', 2: 'Taylor', 3: 'Hiroshi', 4: 'Susan', 5: 'Elizabeth', 6: 'Dakota'}.
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