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Olympiad-Level: Advanced Mathematical Logic: Worksheet 2 - Beginner Practice Olympiad-Level: Advanced Mathematical Logic BEGINNER

Ready to master Olympiad-Level: Advanced Mathematical Logic? This entry level practice worksheet (2/10) presents 20 beginner-level challenges. Focus area: pattern recognition. Learn to solve olympiad-level: advanced mathematical logic reasoning questions, handle olympiad-level: advanced mathematical logic practice, and perfect olympiad-level: advanced mathematical logic for competitive exams with our step-by-step solutions.

📝 Worksheet 2 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 2 of 10 (11% complete)

Question 1

5 people (Freya, Preeti, Ben, Yuki, Daniel) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Freya and Ben is 3 • There is exactly one floor between Freya and Yuki • Daniel lives on the top floor • Freya does not live on floor 1 On which floor does Daniel live?
The unique arrangement (floor: person) is: {1: 'Ben', 2: 'Yuki', 3: 'Preeti', 4: 'Freya', 5: 'Daniel'}.

Question 2

7 people (Ivy, Rohan, Devin, Yusuf, Loki, Robert, Rahul) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Loki and Robert is 10 • Yusuf and Robert are exactly 1 floor apart • The difference between floor numbers of Ivy and Loki is 3 • Rohan lives at most 1 floor above Devin • Robert lives on floor 4 On which floor does Rohan live?
The unique arrangement (floor: person) is: {1: 'Devin', 2: 'Rohan', 3: 'Ivy', 4: 'Robert', 5: 'Yusuf', 6: 'Loki', 7: 'Rahul'}.

Question 3

6 people (Raj, Lily, Sakura, Loki, Ibrahim, Joshua) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Lily and Sakura are exactly 1 floor apart • The sum of floor numbers of Lily and Loki is 8 • The sum of floor numbers of Loki and Joshua is 7 • Loki lives above Ibrahim • The difference between floor numbers of Raj and Lily is 2 On which floor does Ibrahim live?
The unique arrangement (floor: person) is: {1: 'Joshua', 2: 'Lily', 3: 'Sakura', 4: 'Raj', 5: 'Ibrahim', 6: 'Loki'}.

Question 4

5 people (Vikram, Daniel, Sam, Jennifer, Ryan) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Daniel and Sam is 1 • The product of floor numbers of Sam and Ryan is 12 • Jennifer lives on the bottom floor • The difference between floor numbers of Vikram and Jennifer is 4 On which floor does Vikram live?
The unique arrangement (floor: person) is: {1: 'Jennifer', 2: 'Daniel', 3: 'Sam', 4: 'Ryan', 5: 'Vikram'}.

Question 5

6 people (Avery, James, Hiroshi, Barbara, Odin, Charlie) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • James lives immediately above Hiroshi • The product of floor numbers of Barbara and Charlie is 30 • Barbara and Odin are exactly 4 floors apart • Avery lives above Hiroshi On which floor does James live?
The unique arrangement (floor: person) is: {1: 'Odin', 2: 'Hiroshi', 3: 'James', 4: 'Avery', 5: 'Barbara', 6: 'Charlie'}.

Question 6

6 people (Iris, Athena, Michael, Layla, Jennifer, Ibrahim) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Jennifer lives immediately below Michael • Layla lives at most 1 floor above Iris • Jennifer lives above Layla • The sum of floor numbers of Athena and Michael is 8 • Iris lives above Ibrahim On which floor does Michael live?
The unique arrangement (floor: person) is: {1: 'Ibrahim', 2: 'Athena', 3: 'Iris', 4: 'Layla', 5: 'Jennifer', 6: 'Michael'}.

Question 7

7 people (Ben, Hiroshi, Hassan, Michael, Raj, Ibrahim, Sora) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Hassan and Sora is 6 • The sum of floor numbers of Raj and Sora is 8 • The difference between floor numbers of Hassan and Ibrahim is 5 • The product of floor numbers of Hiroshi and Ibrahim is 12 • The difference between floor numbers of Ben and Hassan is 3 On which floor does Sora live?
The unique arrangement (floor: person) is: {1: 'Hassan', 2: 'Hiroshi', 3: 'Raj', 4: 'Ben', 5: 'Sora', 6: 'Ibrahim', 7: 'Michael'}.

Question 8

7 people (Omar, John, Ryan, Aisha, Hazel, Hikari, Sarah) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Ryan lives immediately below Omar • There are exactly two floors between Hazel and Sarah • John lives on floor 2 • Hazel lives on an odd-numbered floor • John lives above Hikari • Ryan does not live on floor 4 On which floor does Sarah live?
The unique arrangement (floor: person) is: {1: 'Hikari', 2: 'John', 3: 'Aisha', 4: 'Sarah', 5: 'Ryan', 6: 'Omar', 7: 'Hazel'}.

Question 9

7 people (Amit, Cameron, Neha, Ankit, Parker, Rose, Iris) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Amit and Parker is 10 • The sum of floor numbers of Neha and Parker is 13 • Cameron and Parker are exactly 3 floors apart • The product of floor numbers of Cameron and Rose is 15 • The product of floor numbers of Ankit and Parker is 6 On which floor does Parker live?
The unique arrangement (floor: person) is: {1: 'Ankit', 2: 'Iris', 3: 'Cameron', 4: 'Amit', 5: 'Rose', 6: 'Parker', 7: 'Neha'}.

Question 10

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

Question 11

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

Question 12

7 people (Raj, Jennifer, Tom, Violet, Devin, Hermes, Sidney) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Devin and Sidney is 9 • Jennifer lives immediately above Tom • Raj and Tom are exactly 3 floors apart • Raj lives above Violet • Raj and Violet are exactly 6 floors apart • Devin lives above Jennifer On which floor does Jennifer live?
The unique arrangement (floor: person) is: {1: 'Violet', 2: 'Hermes', 3: 'Sidney', 4: 'Tom', 5: 'Jennifer', 6: 'Devin', 7: 'Raj'}.

Question 13

5 people (Athena, Susan, Pankaj, Matthew, Ritu) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Athena and Pankaj are exactly 1 floor apart • Susan and Pankaj are exactly 1 floor apart • The product of floor numbers of Susan and Matthew is 2 • The sum of floor numbers of Athena and Ritu is 9 On which floor does Pankaj live?
The unique arrangement (floor: person) is: {1: 'Matthew', 2: 'Susan', 3: 'Pankaj', 4: 'Athena', 5: 'Ritu'}.

Question 14

7 people (Kaito, Tom, Hassan, Peyton, Yuki, Zoe, Divya) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Tom and Yuki is 6 • Tom and Hassan are exactly 4 floors apart • Peyton lives at most 1 floor above Yuki • The sum of floor numbers of Peyton and Divya is 10 • The difference between floor numbers of Tom and Zoe is 1 On which floor does Tom live?
The unique arrangement (floor: person) is: {1: 'Tom', 2: 'Zoe', 3: 'Divya', 4: 'Kaito', 5: 'Hassan', 6: 'Yuki', 7: 'Peyton'}.

Question 15

7 people (Omar, Mary, Jennifer, Quinn, Violet, Ryan, Patricia) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Omar and Patricia is 6 • Jennifer lives at most 1 floor above Omar • There is exactly one floor between Mary and Ryan • Violet lives above Quinn • Mary lives at most 1 floor above Jennifer On which floor does Patricia live?
The unique arrangement (floor: person) is: {1: 'Omar', 2: 'Jennifer', 3: 'Mary', 4: 'Quinn', 5: 'Ryan', 6: 'Violet', 7: 'Patricia'}.

Question 16

5 people (David, Quinn, Zoe, Sidney, Omar) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Zoe and Omar is 1 • Sidney lives on the top floor • Quinn and Omar are exactly 1 floor apart • The sum of floor numbers of Quinn and Sidney is 7 On which floor does David live?
The unique arrangement (floor: person) is: {1: 'David', 2: 'Quinn', 3: 'Omar', 4: 'Zoe', 5: 'Sidney'}.

Question 17

6 people (Raj, Mia, Zeus, Ahmed, Susan, Fatima) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Susan and Fatima is 6 • The sum of floor numbers of Raj and Zeus is 7 • The difference between floor numbers of Ahmed and Susan is 2 • Fatima lives immediately below Susan • Ahmed lives above Zeus On which floor does Fatima live?
The unique arrangement (floor: person) is: {1: 'Zeus', 2: 'Fatima', 3: 'Susan', 4: 'Mia', 5: 'Ahmed', 6: 'Raj'}.

Question 18

6 people (Kavita, Zeus, Layla, Ryan, Leo, Akira) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Akira lives on an odd-numbered floor • Zeus and Leo are exactly 4 floors apart • Leo and Akira are exactly 3 floors apart • The product of floor numbers of Zeus and Ryan is 10 • The difference between floor numbers of Kavita and Akira is 2 On which floor does Leo live?
The unique arrangement (floor: person) is: {1: 'Kavita', 2: 'Zeus', 3: 'Akira', 4: 'Layla', 5: 'Ryan', 6: 'Leo'}.

Question 19

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

Question 20

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