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Olympiad-Level: Advanced Mathematical Logic: Worksheet 6 - Intermediate-Advanced Practice Olympiad-Level: Advanced Mathematical Logic INTERMEDIATE ADVANCED

Ready to master Olympiad-Level: Advanced Mathematical Logic? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve olympiad-level: advanced mathematical logic tricks, handle olympiad-level: advanced mathematical logic shortcut methods, and perfect olympiad-level: advanced mathematical logic bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Olympiad-Level: Advanced Mathematical Logic
Worksheet 6 of 10 (55% complete)

Question 1

7 people (Sam, Artemis, Meena, Pankaj, Ben, Jessica, Willow) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Artemis and Willow are exactly 5 floors apart • The sum of floor numbers of Meena and Pankaj is 6 • Willow lives immediately above Sam • Artemis lives immediately below Meena • Pankaj lives at most 1 floor above Ben On which floor does Ben live?
The unique arrangement (floor: person) is: {1: 'Artemis', 2: 'Meena', 3: 'Ben', 4: 'Pankaj', 5: 'Sam', 6: 'Willow', 7: 'Jessica'}.

Question 2

5 people (Taylor, Sara, William, Daisy, Manish) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • There is exactly one floor between Sara and Daisy • Manish lives at most 1 floor above Taylor • William lives on floor 4 • Daisy lives above Sara On which floor does Sara live?
The unique arrangement (floor: person) is: {1: 'Taylor', 2: 'Manish', 3: 'Sara', 4: 'William', 5: 'Daisy'}.

Question 3

7 people (Sidney, Shweta, Tyr, Parker, Priya, Ritu, John) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Shweta and John is 6 • The sum of floor numbers of Parker and John is 4 • The difference between floor numbers of Priya and Ritu is 4 • Parker and Priya are exactly 3 floors apart • Tyr and John are exactly 3 floors apart On which floor does Ritu live?
The unique arrangement (floor: person) is: {1: 'John', 2: 'Ritu', 3: 'Parker', 4: 'Tyr', 5: 'Sidney', 6: 'Priya', 7: 'Shweta'}.

Question 4

6 people (Logan, Quinn, Akira, Sunil, Barbara, Ben) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Logan lives at most 1 floor above Barbara • Ben lives above Sunil • Barbara lives on floor 3 • Quinn lives immediately above Akira • Quinn lives above Logan On which floor does Barbara live?
The unique arrangement (floor: person) is: {1: 'Sunil', 2: 'Ben', 3: 'Barbara', 4: 'Logan', 5: 'Akira', 6: 'Quinn'}.

Question 5

7 people (Robin, Rahul, Hassan, Hiroshi, Pankaj, Raj, Zeus) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Rahul and Hassan is 11 • Robin and Raj are exactly 2 floors apart • There are exactly two floors between Hiroshi and Raj • The sum of floor numbers of Rahul and Raj is 6 • Pankaj lives above Zeus On which floor does Hassan live?
The unique arrangement (floor: person) is: {1: 'Raj', 2: 'Zeus', 3: 'Robin', 4: 'Hiroshi', 5: 'Rahul', 6: 'Hassan', 7: 'Pankaj'}.

Question 6

6 people (Preeti, Noor, Fatima, Morgan, Ryan, Hiroshi) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Noor and Fatima is 3 • The product of floor numbers of Preeti and Ryan is 20 • The product of floor numbers of Fatima and Hiroshi is 3 • Preeti and Noor are exactly 2 floors apart On which floor does Fatima live?
The unique arrangement (floor: person) is: {1: 'Fatima', 2: 'Noor', 3: 'Hiroshi', 4: 'Preeti', 5: 'Ryan', 6: 'Morgan'}.

Question 7

5 people (Amit, Max, Noor, Holly, Preeti) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Preeti lives above Max • The product of floor numbers of Amit and Preeti is 8 • The sum of floor numbers of Noor and Preeti is 7 • The difference between floor numbers of Amit and Max is 1 On which floor does Holly live?
The unique arrangement (floor: person) is: {1: 'Max', 2: 'Amit', 3: 'Noor', 4: 'Preeti', 5: 'Holly'}.

Question 8

6 people (Ritu, Sam, Hikari, Mary, Daniel, Amy) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Daniel and Amy is 10 • The product of floor numbers of Ritu and Daniel is 30 • Sam lives at most 1 floor above Mary • Sam lives at most 2 floors above Amy On which floor does Daniel live?
The unique arrangement (floor: person) is: {1: 'Hikari', 2: 'Amy', 3: 'Mary', 4: 'Sam', 5: 'Daniel', 6: 'Ritu'}.

Question 9

5 people (Akira, Sunil, Daisy, Cameron, Devin) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Devin lives on the top floor • The difference between floor numbers of Cameron and Devin is 1 • The sum of floor numbers of Daisy and Devin is 6 • The product of floor numbers of Akira and Cameron is 8 On which floor does Devin live?
The unique arrangement (floor: person) is: {1: 'Daisy', 2: 'Akira', 3: 'Sunil', 4: 'Cameron', 5: 'Devin'}.

Question 10

7 people (Eva, Hikari, Sarah, Ahmed, Logan, Joshua, Hermes) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Logan and Joshua are exactly 2 floors apart • Hikari and Hermes are exactly 4 floors apart • Ahmed and Joshua are exactly 3 floors apart • Sarah and Ahmed are exactly 1 floor apart • The product of floor numbers of Joshua and Hermes is 6 • Joshua lives above Eva On which floor does Ahmed live?
The unique arrangement (floor: person) is: {1: 'Eva', 2: 'Joshua', 3: 'Hermes', 4: 'Logan', 5: 'Ahmed', 6: 'Sarah', 7: 'Hikari'}.

Question 11

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

Question 12

7 people (Haruki, Mia, Ankit, Sora, Susan, Pooja, Rose) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Haruki and Sora is 5 • Sora lives immediately below Pooja • Haruki and Susan are exactly 1 floor apart • Haruki lives immediately below Mia • Ankit and Pooja are exactly 2 floors apart On which floor does Susan live?
The unique arrangement (floor: person) is: {1: 'Sora', 2: 'Pooja', 3: 'Rose', 4: 'Ankit', 5: 'Susan', 6: 'Haruki', 7: 'Mia'}.

Question 13

7 people (Haruki, Vikram, Rose, Noor, Zoe, Hassan, Neha) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Noor lives on floor 3 • The product of floor numbers of Rose and Hassan is 14 • Zoe and Neha are exactly 1 floor apart • Rose and Zoe are exactly 4 floors apart • Rose lives above Haruki On which floor does Vikram live?
The unique arrangement (floor: person) is: {1: 'Haruki', 2: 'Rose', 3: 'Noor', 4: 'Vikram', 5: 'Neha', 6: 'Zoe', 7: 'Hassan'}.

Question 14

6 people (Daisy, Kenji, Matthew, Cameron, Eva, Apollo) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Daisy and Matthew is 10 • Daisy and Kenji are exactly 2 floors apart • Matthew lives at most 2 floors above Apollo • Matthew and Cameron are exactly 1 floor apart On which floor does Matthew live?
The unique arrangement (floor: person) is: {1: 'Eva', 2: 'Daisy', 3: 'Apollo', 4: 'Kenji', 5: 'Matthew', 6: 'Cameron'}.

Question 15

6 people (Omar, Pankaj, Dakota, Divya, Mary, Tyr) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • There are exactly two floors between Divya and Tyr • The sum of floor numbers of Pankaj and Dakota is 9 • The product of floor numbers of Dakota and Divya is 6 • The difference between floor numbers of Omar and Dakota is 4 On which floor does Tyr live?
The unique arrangement (floor: person) is: {1: 'Divya', 2: 'Omar', 3: 'Pankaj', 4: 'Tyr', 5: 'Mary', 6: 'Dakota'}.

Question 16

6 people (Rin, Yusuf, Ryan, Jay, Barbara, Manish) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Barbara lives on floor 1 • Jay and Manish live on consecutive floors • Ryan and Manish are exactly 1 floor apart • Yusuf and Jay live on consecutive floors • The product of floor numbers of Yusuf and Barbara is 6 On which floor does Ryan live?
The unique arrangement (floor: person) is: {1: 'Barbara', 2: 'Rin', 3: 'Ryan', 4: 'Manish', 5: 'Jay', 6: 'Yusuf'}.

Question 17

7 people (Ritu, Linda, Iris, Akira, Cameron, Haruki, Noor) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Iris and Akira are exactly 5 floors apart • Ritu lives on floor 1 • There are exactly two floors between Iris and Haruki • The sum of floor numbers of Linda and Haruki is 10 • Iris and Noor are exactly 4 floors apart On which floor does Linda live?
The unique arrangement (floor: person) is: {1: 'Ritu', 2: 'Akira', 3: 'Noor', 4: 'Haruki', 5: 'Cameron', 6: 'Linda', 7: 'Iris'}.

Question 18

5 people (Kenji, Fatima, Apollo, Manish, Neha) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Manish and Neha is 2 • The sum of floor numbers of Kenji and Apollo is 5 • Apollo does not live on floor 4 • Neha lives on floor 5 On which floor does Kenji live?
The unique arrangement (floor: person) is: {1: 'Apollo', 2: 'Fatima', 3: 'Manish', 4: 'Kenji', 5: 'Neha'}.

Question 19

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

Question 20

6 people (Ivy, Sam, Daisy, William, Zoe, Odin) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Zoe and Odin is 30 • Ivy lives at most 1 floor above William • The sum of floor numbers of Sam and Zoe is 8 • The difference between floor numbers of William and Zoe is 4 On which floor does Ivy live?
The unique arrangement (floor: person) is: {1: 'William', 2: 'Ivy', 3: 'Sam', 4: 'Daisy', 5: 'Zoe', 6: 'Odin'}.
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