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Olympiad-Level: Advanced Mathematical Logic - Absolute-Beginner Level: core concept mastery Olympiad-Level: Advanced Mathematical Logic ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Olympiad-Level: Advanced Mathematical Logic - a key topic in Floor Puzzles. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master olympiad-level: advanced mathematical logic problems, olympiad-level: advanced mathematical logic reasoning questions, and olympiad-level: advanced mathematical logic practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Olympiad-Level: Advanced Mathematical Logic
Worksheet 1 of 10 (0% complete)

Question 1

7 people (Barbara, Iris, Raj, Ritu, Jay, Holly, Artemis) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Iris and Holly is 18 • The sum of floor numbers of Iris and Raj is 8 • The sum of floor numbers of Ritu and Artemis is 12 • Raj and Jay are exactly 1 floor apart • There are exactly two floors between Raj and Artemis On which floor does Iris live?
The unique arrangement (floor: person) is: {1: 'Jay', 2: 'Raj', 3: 'Holly', 4: 'Barbara', 5: 'Artemis', 6: 'Iris', 7: 'Ritu'}.

Question 2

7 people (Riley, Odin, Michael, Willow, Raj, Yusuf, Tom) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Willow and Yusuf is 9 • Riley and Odin are exactly 3 floors apart • Tom lives immediately above Michael • The product of floor numbers of Odin and Michael is 24 • The sum of floor numbers of Yusuf and Tom is 12 On which floor does Yusuf live?
The unique arrangement (floor: person) is: {1: 'Raj', 2: 'Willow', 3: 'Riley', 4: 'Michael', 5: 'Tom', 6: 'Odin', 7: 'Yusuf'}.

Question 3

6 people (Anjali, Iris, Reese, Robin, Amit, Apollo) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Iris and Apollo is 9 • Robin lives immediately above Amit • Anjali lives immediately above Reese • The product of floor numbers of Iris and Amit is 24 On which floor does Iris live?
The unique arrangement (floor: person) is: {1: 'Reese', 2: 'Anjali', 3: 'Apollo', 4: 'Amit', 5: 'Robin', 6: 'Iris'}.

Question 4

6 people (Omar, Sakura, Pankaj, Kavita, Charlie, Sam) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Sakura and Kavita is 3 • Sam lives immediately above Pankaj • The product of floor numbers of Kavita and Charlie is 5 • The sum of floor numbers of Omar and Kavita is 7 On which floor does Sam live?
The unique arrangement (floor: person) is: {1: 'Kavita', 2: 'Sakura', 3: 'Pankaj', 4: 'Sam', 5: 'Charlie', 6: 'Omar'}.

Question 5

6 people (Hikari, Preeti, Avery, Susan, Joshua, Sidney) 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 Joshua is 4 • Hikari and Susan live on consecutive floors • Avery lives on floor 3 • Preeti lives immediately below Avery • Avery and Susan are exactly 2 floors apart On which floor does Avery live?
The unique arrangement (floor: person) is: {1: 'Sidney', 2: 'Preeti', 3: 'Avery', 4: 'Hikari', 5: 'Susan', 6: 'Joshua'}.

Question 6

7 people (Yuki, Omar, Layla, Willow, Kavita, Thor, Shweta) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Shweta lives at most 1 floor above Thor • Layla and Willow are exactly 1 floor apart • The product of floor numbers of Yuki and Layla is 42 • Omar and Kavita are exactly 1 floor apart • Thor lives at most 1 floor above Omar On which floor does Kavita live?
The unique arrangement (floor: person) is: {1: 'Kavita', 2: 'Omar', 3: 'Thor', 4: 'Shweta', 5: 'Willow', 6: 'Layla', 7: 'Yuki'}.

Question 7

5 people (Hassan, Jessica, Skyler, Ryan, Reese) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Jessica and Skyler is 1 • Hassan lives above Ryan • The sum of floor numbers of Hassan and Reese is 8 • The difference between floor numbers of Jessica and Ryan is 3 On which floor does Jessica live?
The unique arrangement (floor: person) is: {1: 'Jessica', 2: 'Skyler', 3: 'Reese', 4: 'Ryan', 5: 'Hassan'}.

Question 8

6 people (Kaito, Hassan, Devin, James, Noor, Ankit) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Kaito and Noor is 3 • Kaito and Devin are exactly 2 floors apart • The sum of floor numbers of Hassan and Devin is 6 • The product of floor numbers of Hassan and James is 4 On which floor does Ankit live?
The unique arrangement (floor: person) is: {1: 'Hassan', 2: 'Ankit', 3: 'Kaito', 4: 'James', 5: 'Devin', 6: 'Noor'}.

Question 9

5 people (Ankit, Ivy, Hazel, Rin, Divya) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Rin and Divya is 20 • Hazel lives immediately above Ankit • Ivy lives on an odd-numbered floor • The sum of floor numbers of Ivy and Rin is 7 On which floor does Ankit live?
The unique arrangement (floor: person) is: {1: 'Ankit', 2: 'Hazel', 3: 'Ivy', 4: 'Rin', 5: 'Divya'}.

Question 10

7 people (Thor, Yusuf, Hazel, Cameron, Akira, Amy, Haruki) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Haruki lives on floor 5 • The difference between floor numbers of Amy and Haruki is 1 • Cameron and Akira are exactly 5 floors apart • The product of floor numbers of Yusuf and Hazel is 21 • There are exactly two floors between Yusuf and Akira On which floor does Haruki live?
The unique arrangement (floor: person) is: {1: 'Cameron', 2: 'Thor', 3: 'Yusuf', 4: 'Amy', 5: 'Haruki', 6: 'Akira', 7: 'Hazel'}.

Question 11

6 people (Cameron, Logan, Pooja, Barbara, Charlie, Karen) 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 Karen is 1 • Cameron lives at most 2 floors above Barbara • Charlie lives on floor 2 • The product of floor numbers of Pooja and Karen is 20 On which floor does Barbara live?
The unique arrangement (floor: person) is: {1: 'Barbara', 2: 'Charlie', 3: 'Cameron', 4: 'Pooja', 5: 'Karen', 6: 'Logan'}.

Question 12

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

Question 13

7 people (Casey, Taylor, Jennifer, Noor, Violet, Fatima, Jay) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Casey and Taylor is 35 • The sum of floor numbers of Jennifer and Noor is 5 • Noor lives at most 1 floor above Fatima • Fatima lives at most 2 floors above Jennifer • Taylor lives immediately below Jay On which floor does Jay live?
The unique arrangement (floor: person) is: {1: 'Jennifer', 2: 'Violet', 3: 'Fatima', 4: 'Noor', 5: 'Taylor', 6: 'Jay', 7: 'Casey'}.

Question 14

6 people (Daniel, Peyton, Alex, Preeti, Sakura, John) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Sakura and John is 4 • Alex lives at most 2 floors above Daniel • There is exactly one floor between Preeti and Sakura • Peyton and Alex are exactly 1 floor apart On which floor does Daniel live?
The unique arrangement (floor: person) is: {1: 'John', 2: 'Preeti', 3: 'Daniel', 4: 'Sakura', 5: 'Alex', 6: 'Peyton'}.

Question 15

5 people (Max, Sunil, Sam, Thor, Aisha) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Sam and Thor are exactly 3 floors apart • Thor lives above Sunil • Max lives on an odd-numbered floor • Thor does not live on floor 5 • Aisha lives on floor 3 On which floor does Max live?
The unique arrangement (floor: person) is: {1: 'Sam', 2: 'Sunil', 3: 'Aisha', 4: 'Thor', 5: 'Max'}.

Question 16

7 people (Jasmine, Max, Parker, Sunil, Barbara, Kenji, Charlie) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Max lives on an odd-numbered floor • The difference between floor numbers of Jasmine and Parker is 1 • The sum of floor numbers of Parker and Sunil is 11 • Sunil and Kenji are exactly 2 floors apart • Kenji lives above Parker • The product of floor numbers of Max and Charlie is 2 On which floor does Barbara live?
The unique arrangement (floor: person) is: {1: 'Max', 2: 'Charlie', 3: 'Jasmine', 4: 'Parker', 5: 'Kenji', 6: 'Barbara', 7: 'Sunil'}.

Question 17

7 people (Vikram, Michael, Raj, Neha, Hazel, Reese, Hermes) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Michael and Hazel is 3 • Neha and Hazel are exactly 5 floors apart • The sum of floor numbers of Vikram and Reese is 5 • The product of floor numbers of Raj and Reese is 3 On which floor does Hazel live?
The unique arrangement (floor: person) is: {1: 'Reese', 2: 'Hazel', 3: 'Raj', 4: 'Vikram', 5: 'Michael', 6: 'Hermes', 7: 'Neha'}.

Question 18

6 people (Holly, Sunil, Artemis, Athena, Quinn, Ritu) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Sunil and Athena is 6 • The product of floor numbers of Holly and Ritu is 6 • Sunil and Artemis live on consecutive floors • The sum of floor numbers of Holly and Quinn is 9 • Ritu lives on the bottom floor On which floor does Athena live?
The unique arrangement (floor: person) is: {1: 'Ritu', 2: 'Athena', 3: 'Quinn', 4: 'Sunil', 5: 'Artemis', 6: 'Holly'}.

Question 19

6 people (Pankaj, Raj, Max, Violet, Casey, Robin) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Violet lives at most 1 floor above Casey • Max and Violet are exactly 3 floors apart • Violet lives at most 2 floors above Robin • Raj and Max live on consecutive floors • Violet lives on an even-numbered floor On which floor does Pankaj live?
The unique arrangement (floor: person) is: {1: 'Pankaj', 2: 'Raj', 3: 'Max', 4: 'Robin', 5: 'Casey', 6: 'Violet'}.

Question 20

7 people (Jessica, David, Apollo, Odin, Sidney, Kenji, Vikram) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Apollo and Kenji are exactly 1 floor apart • The sum of floor numbers of Odin and Sidney is 7 • The difference between floor numbers of Jessica and Odin is 4 • The product of floor numbers of Kenji and Vikram is 20 On which floor does Odin live?
The unique arrangement (floor: person) is: {1: 'Sidney', 2: 'Jessica', 3: 'Apollo', 4: 'Kenji', 5: 'Vikram', 6: 'Odin', 7: 'David'}.
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