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Master Olympiad-Level: Advanced Mathematical Logic - Beginner Level Problems Olympiad-Level: Advanced Mathematical Logic BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Olympiad-Level: Advanced Mathematical Logic. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing olympiad-level: advanced mathematical logic practice, olympiad-level: advanced mathematical logic for competitive exams, and how to solve olympiad-level: advanced mathematical logic.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Olympiad-Level: Advanced Mathematical Logic
Worksheet 3 of 10 (22% complete)

Question 1

5 people (Hikari, Zeus, Devin, Jasmine, Casey) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Hikari and Zeus is 2 • The product of floor numbers of Hikari and Jasmine is 3 • The difference between floor numbers of Hikari and Casey is 1 • The difference between floor numbers of Zeus and Devin is 3 On which floor does Jasmine live?
The unique arrangement (floor: person) is: {1: 'Jasmine', 2: 'Devin', 3: 'Hikari', 4: 'Casey', 5: 'Zeus'}.

Question 2

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

Question 3

6 people (Preeti, Thor, Kavita, Anjali, Avery, Meena) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Preeti and Avery is 3 • Meena lives on floor 4 • Meena lives at most 2 floors above Thor • Kavita and Meena are exactly 1 floor apart • The difference between floor numbers of Kavita and Avery is 2 On which floor does Meena live?
The unique arrangement (floor: person) is: {1: 'Anjali', 2: 'Thor', 3: 'Avery', 4: 'Meena', 5: 'Kavita', 6: 'Preeti'}.

Question 4

6 people (James, Linda, Riley, Pooja, Ivy, Jasmine) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Linda and Jasmine are exactly 2 floors apart • Pooja lives at most 2 floors above James • Ivy lives above Riley • Pooja lives on an even-numbered floor • Ivy lives above James • The sum of floor numbers of Ivy and Jasmine is 7 On which floor does Ivy live?
The unique arrangement (floor: person) is: {1: 'Jasmine', 2: 'James', 3: 'Linda', 4: 'Pooja', 5: 'Riley', 6: 'Ivy'}.

Question 5

5 people (Meena, Hermes, Taylor, Michael, Alex) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Meena lives immediately below Michael • Michael lives on the top floor • Hermes lives immediately above Taylor • There are exactly two floors between Hermes and Michael On which floor does Taylor live?
The unique arrangement (floor: person) is: {1: 'Taylor', 2: 'Hermes', 3: 'Alex', 4: 'Meena', 5: 'Michael'}.

Question 6

5 people (Sora, Apollo, Peyton, Aisha, Elizabeth) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Aisha and Elizabeth is 8 • The difference between floor numbers of Apollo and Peyton is 1 • The sum of floor numbers of Peyton and Elizabeth is 4 • Peyton's floor number is not divisible by 3 On which floor does Aisha live?
The unique arrangement (floor: person) is: {1: 'Peyton', 2: 'Apollo', 3: 'Elizabeth', 4: 'Sora', 5: 'Aisha'}.

Question 7

6 people (Leo, Tyr, Logan, Yusuf, Reese, Elizabeth) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Logan and Elizabeth is 3 • Tyr and Reese are exactly 3 floors apart • The sum of floor numbers of Leo and Reese is 8 • The product of floor numbers of Leo and Elizabeth is 12 On which floor does Reese live?
The unique arrangement (floor: person) is: {1: 'Logan', 2: 'Tyr', 3: 'Leo', 4: 'Elizabeth', 5: 'Reese', 6: 'Yusuf'}.

Question 8

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

Question 9

6 people (Matthew, Sora, Meena, Parker, Freya, Michael) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Sora and Freya are exactly 4 floors apart • The product of floor numbers of Meena and Freya is 4 • Parker lives on an even-numbered floor • Matthew and Parker are exactly 3 floors apart On which floor does Meena live?
The unique arrangement (floor: person) is: {1: 'Freya', 2: 'Michael', 3: 'Matthew', 4: 'Meena', 5: 'Sora', 6: 'Parker'}.

Question 10

6 people (Omar, Leo, Violet, David, James, Zeus) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • David and Zeus are exactly 2 floors apart • The product of floor numbers of Omar and Zeus is 18 • The product of floor numbers of Violet and James is 5 • James lives at most 1 floor above David On which floor does Omar live?
The unique arrangement (floor: person) is: {1: 'Violet', 2: 'Leo', 3: 'Omar', 4: 'David', 5: 'James', 6: 'Zeus'}.

Question 11

6 people (Divya, Noor, Sam, James, Thor, Logan) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Divya and Thor live on consecutive floors • Noor and James are exactly 5 floors apart • James and Logan are exactly 2 floors apart • James lives above Sam • The sum of floor numbers of Sam and Thor is 7 On which floor does Logan live?
The unique arrangement (floor: person) is: {1: 'Noor', 2: 'Thor', 3: 'Divya', 4: 'Logan', 5: 'Sam', 6: 'James'}.

Question 12

5 people (Morgan, Divya, James, Meena, Iris) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Divya lives on the top floor • The product of floor numbers of Morgan and Meena is 2 • Meena lives on an odd-numbered floor • James lives on an even-numbered floor On which floor does James live?
The unique arrangement (floor: person) is: {1: 'Meena', 2: 'Morgan', 3: 'Iris', 4: 'James', 5: 'Divya'}.

Question 13

5 people (Elizabeth, Sora, Mary, Priya, Kaito) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Elizabeth and Mary is 9 • The sum of floor numbers of Sora and Mary is 6 • There are exactly two floors between Mary and Priya • Mary lives at most 1 floor above Elizabeth On which floor does Priya live?
The unique arrangement (floor: person) is: {1: 'Sora', 2: 'Priya', 3: 'Kaito', 4: 'Elizabeth', 5: 'Mary'}.

Question 14

7 people (Charlie, Mary, Karen, Athena, Hiroshi, Ankit, Matthew) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • There are exactly two floors between Ankit and Matthew • There is exactly one floor between Charlie and Ankit • The product of floor numbers of Karen and Hiroshi is 4 • Karen lives above Mary • The product of floor numbers of Karen and Matthew is 24 On which floor does Ankit live?
The unique arrangement (floor: person) is: {1: 'Hiroshi', 2: 'Mary', 3: 'Ankit', 4: 'Karen', 5: 'Charlie', 6: 'Matthew', 7: 'Athena'}.

Question 15

7 people (Parker, Willow, Jennifer, Alex, Hassan, Charlie, Lily) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Lily lives on floor 2 • The sum of floor numbers of Alex and Lily is 5 • Parker and Charlie are exactly 5 floors apart • Jennifer and Hassan are exactly 3 floors apart • Parker and Jennifer live on consecutive floors On which floor does Jennifer live?
The unique arrangement (floor: person) is: {1: 'Charlie', 2: 'Lily', 3: 'Alex', 4: 'Hassan', 5: 'Willow', 6: 'Parker', 7: 'Jennifer'}.

Question 16

6 people (Akira, Robin, Jay, Rahul, Riley, Hazel) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Rahul lives immediately below Riley • Jay lives at most 1 floor above Robin • The sum of floor numbers of Riley and Hazel is 8 • Akira lives on an even-numbered floor On which floor does Robin live?
The unique arrangement (floor: person) is: {1: 'Robin', 2: 'Jay', 3: 'Hazel', 4: 'Rahul', 5: 'Riley', 6: 'Akira'}.

Question 17

5 people (Violet, Ben, David, Odin, Hazel) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Violet and Ben is 8 • Hazel lives on an even-numbered floor • The product of floor numbers of Ben and David is 20 • Odin's floor number is not divisible by 3 On which floor does Hazel live?
The unique arrangement (floor: person) is: {1: 'Odin', 2: 'Hazel', 3: 'Violet', 4: 'David', 5: 'Ben'}.

Question 18

6 people (Riley, Loki, Violet, Thor, Ryan, Neha) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Riley and Loki is 9 • The sum of floor numbers of Loki and Neha is 5 • Thor and Neha are exactly 1 floor apart • Ryan lives on floor 6 On which floor does Riley live?
The unique arrangement (floor: person) is: {1: 'Neha', 2: 'Thor', 3: 'Violet', 4: 'Loki', 5: 'Riley', 6: 'Ryan'}.

Question 19

5 people (Riley, Omar, David, Sam, Sarah) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Sam and Sarah is 9 • Riley and Sam are exactly 4 floors apart • The difference between floor numbers of Omar and Sarah is 1 • David's floor number is divisible by 2 On which floor does David live?
The unique arrangement (floor: person) is: {1: 'Riley', 2: 'David', 3: 'Omar', 4: 'Sarah', 5: 'Sam'}.

Question 20

6 people (Hermes, Ben, Cameron, Kaito, Taylor, Raj) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Hermes and Taylor are exactly 3 floors apart • Hermes and Raj are exactly 1 floor apart • The sum of floor numbers of Ben and Taylor is 6 • The product of floor numbers of Hermes and Cameron is 5 On which floor does Hermes live?
The unique arrangement (floor: person) is: {1: 'Cameron', 2: 'Taylor', 3: 'Kaito', 4: 'Ben', 5: 'Hermes', 6: 'Raj'}.
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