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Olympiad-Level: Advanced Mathematical Logic Beginner-Intermediate Worksheet: Focus on common variations practice Olympiad-Level: Advanced Mathematical Logic BEGINNER INTERMEDIATE

Level up your Olympiad-Level: Advanced Mathematical Logic 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: olympiad-level: advanced mathematical logic for competitive exams, how to solve olympiad-level: advanced mathematical logic, olympiad-level: advanced mathematical logic tricks.

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

What you'll learn in this worksheet:
Your progress through Olympiad-Level: Advanced Mathematical Logic
Worksheet 4 of 10 (33% complete)

Question 1

6 people (Odin, Shweta, Mary, Ben, Sam, Freya) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Shweta and Sam is 3 • Odin lives immediately above Ben • The product of floor numbers of Shweta and Mary is 2 • The product of floor numbers of Shweta and Sam is 10 On which floor does Odin live?
The unique arrangement (floor: person) is: {1: 'Mary', 2: 'Shweta', 3: 'Ben', 4: 'Odin', 5: 'Sam', 6: 'Freya'}.

Question 2

7 people (Avery, Aisha, Jay, Max, John, Haruki, Neha) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Avery and John is 5 • Max and John live on consecutive floors • The product of floor numbers of Aisha and Haruki is 6 • The product of floor numbers of Aisha and Jay is 24 On which floor does Neha live?
The unique arrangement (floor: person) is: {1: 'Haruki', 2: 'John', 3: 'Max', 4: 'Jay', 5: 'Neha', 6: 'Aisha', 7: 'Avery'}.

Question 3

5 people (Quinn, Deepak, Peyton, Matthew, Anjali) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Peyton and Anjali live on consecutive floors • The sum of floor numbers of Quinn and Deepak is 4 • Deepak and Matthew are exactly 1 floor apart • The difference between floor numbers of Quinn and Anjali is 1 On which floor does Peyton live?
The unique arrangement (floor: person) is: {1: 'Deepak', 2: 'Matthew', 3: 'Quinn', 4: 'Anjali', 5: 'Peyton'}.

Question 4

5 people (Sara, Odin, Fatima, Rin, Sakura) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Sakura lives on the bottom floor • The product of floor numbers of Rin and Sakura is 4 • The sum of floor numbers of Sara and Fatima is 7 • The difference between floor numbers of Sara and Rin is 1 On which floor does Sara live?
The unique arrangement (floor: person) is: {1: 'Sakura', 2: 'Fatima', 3: 'Odin', 4: 'Rin', 5: 'Sara'}.

Question 5

6 people (Odin, Mia, Quinn, Ahmed, Jasmine, Cameron) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Mia lives immediately below Odin • The difference between floor numbers of Odin and Quinn is 3 • The product of floor numbers of Odin and Cameron is 3 • There is exactly one floor between Quinn and Jasmine On which floor does Mia live?
The unique arrangement (floor: person) is: {1: 'Cameron', 2: 'Mia', 3: 'Odin', 4: 'Jasmine', 5: 'Ahmed', 6: 'Quinn'}.

Question 6

6 people (Pankaj, Layla, Akira, Meena, Peyton, Cameron) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Layla lives on the top floor • Pankaj and Layla live on consecutive floors • Akira lives above Peyton • The sum of floor numbers of Layla and Akira is 8 • Layla and Cameron are exactly 2 floors apart On which floor does Meena live?
The unique arrangement (floor: person) is: {1: 'Peyton', 2: 'Akira', 3: 'Meena', 4: 'Cameron', 5: 'Pankaj', 6: 'Layla'}.

Question 7

7 people (Pooja, Sarah, Rohan, Layla, Sara, Mary, Leo) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Rohan and Layla is 10 • The difference between floor numbers of Pooja and Rohan is 4 • Sara and Leo are exactly 2 floors apart • Leo lives immediately below Mary • Layla and Mary are exactly 1 floor apart On which floor does Mary live?
The unique arrangement (floor: person) is: {1: 'Sara', 2: 'Rohan', 3: 'Leo', 4: 'Mary', 5: 'Layla', 6: 'Pooja', 7: 'Sarah'}.

Question 8

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

Question 9

5 people (Rahul, Kavita, Sarah, Jasmine, Skyler) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Rahul and Skyler are exactly 1 floor apart • Kavita's floor number is not divisible by 4 • Skyler lives at most 2 floors above Kavita • Jasmine and Skyler are exactly 4 floors apart On which floor does Jasmine live?
The unique arrangement (floor: person) is: {1: 'Jasmine', 2: 'Sarah', 3: 'Kavita', 4: 'Rahul', 5: 'Skyler'}.

Question 10

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

Question 11

7 people (Odin, Sora, Deepak, Jasmine, Charlie, Parker, Michael) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Deepak and Parker is 7 • The product of floor numbers of Charlie and Parker is 15 • The product of floor numbers of Odin and Jasmine is 42 • Michael lives on an odd-numbered floor • Parker does not live on floor 5 • Odin lives on the top floor On which floor does Odin live?
The unique arrangement (floor: person) is: {1: 'Michael', 2: 'Sora', 3: 'Parker', 4: 'Deepak', 5: 'Charlie', 6: 'Jasmine', 7: 'Odin'}.

Question 12

7 people (Max, Ankit, Deepak, Zeus, Zoe, Devin, Matthew) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Zeus and Devin is 24 • There are exactly two floors between Deepak and Zoe • Zeus and Zoe are exactly 4 floors apart • The product of floor numbers of Ankit and Deepak is 5 • Ankit and Matthew are exactly 2 floors apart On which floor does Deepak live?
The unique arrangement (floor: person) is: {1: 'Ankit', 2: 'Zoe', 3: 'Matthew', 4: 'Devin', 5: 'Deepak', 6: 'Zeus', 7: 'Max'}.

Question 13

6 people (Sakura, Rin, Violet, Pooja, Ahmed, Karen) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Sakura and Rin are exactly 1 floor apart • The difference between floor numbers of Sakura and Karen is 1 • Violet does not live on floor 1 • Pooja lives above Violet • Rin lives on floor 5 On which floor does Sakura live?
The unique arrangement (floor: person) is: {1: 'Ahmed', 2: 'Violet', 3: 'Karen', 4: 'Sakura', 5: 'Rin', 6: 'Pooja'}.

Question 14

5 people (Ben, Ivy, Ritu, Hiroshi, Hazel) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Ritu and Hazel is 4 • Hiroshi lives on floor 4 • The sum of floor numbers of Ivy and Hiroshi is 6 • Ritu lives above Ivy On which floor does Ritu live?
The unique arrangement (floor: person) is: {1: 'Hazel', 2: 'Ivy', 3: 'Ben', 4: 'Hiroshi', 5: 'Ritu'}.

Question 15

6 people (Neha, Yuki, Max, Rin, Devin, Robin) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • There is exactly one floor between Rin and Robin • Robin lives immediately above Neha • The sum of floor numbers of Yuki and Robin is 5 • The sum of floor numbers of Max and Rin is 11 On which floor does Yuki live?
The unique arrangement (floor: person) is: {1: 'Yuki', 2: 'Devin', 3: 'Neha', 4: 'Robin', 5: 'Max', 6: 'Rin'}.

Question 16

7 people (Linda, Rin, Pankaj, Robin, Ben, Barbara, Eva) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Linda and Pankaj is 3 • The sum of floor numbers of Rin and Barbara is 12 • There is exactly one floor between Robin and Barbara • The sum of floor numbers of Pankaj and Eva is 7 On which floor does Pankaj live?
The unique arrangement (floor: person) is: {1: 'Pankaj', 2: 'Linda', 3: 'Robin', 4: 'Ben', 5: 'Barbara', 6: 'Eva', 7: 'Rin'}.

Question 17

7 people (Holly, Hazel, James, Ankit, Apollo, Linda, Jay) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Holly and Ankit is 1 • The product of floor numbers of Hazel and Jay is 30 • Apollo lives immediately above Ankit • James lives immediately below Hazel On which floor does Linda live?
The unique arrangement (floor: person) is: {1: 'Holly', 2: 'Ankit', 3: 'Apollo', 4: 'James', 5: 'Hazel', 6: 'Jay', 7: 'Linda'}.

Question 18

7 people (Rahul, Pankaj, Amy, Robin, Dakota, Holly, Sarah) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Holly lives immediately above Dakota • Rahul lives immediately above Sarah • The sum of floor numbers of Amy and Dakota is 10 • Robin lives on floor 2 On which floor does Holly live?
The unique arrangement (floor: person) is: {1: 'Pankaj', 2: 'Robin', 3: 'Dakota', 4: 'Holly', 5: 'Sarah', 6: 'Rahul', 7: 'Amy'}.

Question 19

6 people (Priya, Quinn, Amy, Freya, Rin, Willow) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Freya and Rin is 6 • Amy lives immediately above Rin • The sum of floor numbers of Amy and Willow is 11 • The sum of floor numbers of Quinn and Rin is 5 On which floor does Rin live?
The unique arrangement (floor: person) is: {1: 'Quinn', 2: 'Freya', 3: 'Priya', 4: 'Rin', 5: 'Amy', 6: 'Willow'}.

Question 20

7 people (Cameron, Sunil, Willow, Iris, Blake, Daniel, Devin) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Willow and Iris is 3 • Blake and Daniel are exactly 5 floors apart • Iris lives above Devin • The difference between floor numbers of Daniel and Devin is 3 • The difference between floor numbers of Cameron and Willow is 1 • Sunil lives on an even-numbered floor On which floor does Blake live?
The unique arrangement (floor: person) is: {1: 'Blake', 2: 'Sunil', 3: 'Devin', 4: 'Willow', 5: 'Cameron', 6: 'Daniel', 7: 'Iris'}.
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