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Olympiad-Level: Advanced Mathematical Logic Advanced Worksheet: Focus on exam-oriented approach Olympiad-Level: Advanced Mathematical Logic ADVANCED

Level up your Olympiad-Level: Advanced Mathematical Logic skills! You're at Worksheet 8 of 10 (77% through this series). This exam hall simulation worksheet features 20 advanced-level problems with a focus on exam-oriented approach. Topics covered: olympiad-level: advanced mathematical logic bank exam questions, olympiad-level: advanced mathematical logic ssc cgl, olympiad-level: advanced mathematical logic reasoning tricks.

📝 Worksheet 8 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Olympiad-Level: Advanced Mathematical Logic
Worksheet 8 of 10 (77% complete)

Question 1

6 people (Shweta, Eva, Mary, Barbara, Kavita, Rahul) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Kavita and Rahul are exactly 4 floors apart • The difference between floor numbers of Barbara and Rahul is 1 • Kavita lives immediately below Mary • The sum of floor numbers of Eva and Kavita is 3 On which floor does Eva live?
The unique arrangement (floor: person) is: {1: 'Eva', 2: 'Kavita', 3: 'Mary', 4: 'Shweta', 5: 'Barbara', 6: 'Rahul'}.

Question 2

6 people (Jasmine, Ahmed, Jennifer, Sakura, Hikari, Devin) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Hikari and Devin are exactly 5 floors apart • Jennifer does not live on floor 2 • The product of floor numbers of Jasmine and Hikari is 18 • The difference between floor numbers of Jasmine and Sakura is 2 On which floor does Devin live?
The unique arrangement (floor: person) is: {1: 'Devin', 2: 'Ahmed', 3: 'Jasmine', 4: 'Jennifer', 5: 'Sakura', 6: 'Hikari'}.

Question 3

5 people (Violet, Mary, Hiroshi, Matthew, Karen) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Matthew lives at most 1 floor above Hiroshi • The product of floor numbers of Mary and Karen is 2 • Violet and Mary are exactly 3 floors apart • Karen does not live on floor 3 On which floor does Mary live?
The unique arrangement (floor: person) is: {1: 'Karen', 2: 'Mary', 3: 'Hiroshi', 4: 'Matthew', 5: 'Violet'}.

Question 4

5 people (Robert, Rin, Joshua, Ritu, Layla) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Layla lives at most 2 floors above Ritu • Robert lives on an even-numbered floor • Ritu lives above Joshua • The sum of floor numbers of Rin and Layla is 6 • Robert and Ritu live on consecutive floors On which floor does Joshua live?
The unique arrangement (floor: person) is: {1: 'Rin', 2: 'Joshua', 3: 'Ritu', 4: 'Robert', 5: 'Layla'}.

Question 5

5 people (Skyler, Leo, Rin, Lily, Joshua) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Skyler and Rin is 4 • Skyler lives immediately below Lily • The product of floor numbers of Lily and Joshua is 6 • Lily and Joshua live on consecutive floors On which floor does Leo live?
The unique arrangement (floor: person) is: {1: 'Skyler', 2: 'Lily', 3: 'Joshua', 4: 'Leo', 5: 'Rin'}.

Question 6

7 people (Amy, Kenji, Kaito, Zoe, Vikram, Ryan, Hassan) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Amy and Kaito are exactly 2 floors apart • The difference between floor numbers of Amy and Zoe is 2 • The difference between floor numbers of Amy and Vikram is 3 • The product of floor numbers of Ryan and Hassan is 28 • The sum of floor numbers of Zoe and Ryan is 9 On which floor does Vikram live?
The unique arrangement (floor: person) is: {1: 'Kaito', 2: 'Kenji', 3: 'Amy', 4: 'Ryan', 5: 'Zoe', 6: 'Vikram', 7: 'Hassan'}.

Question 7

7 people (Rohan, Charlie, Willow, Apollo, Taylor, Holly, Vikram) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Holly lives above Taylor • The difference between floor numbers of Charlie and Vikram is 3 • Holly lives at most 1 floor above Vikram • Apollo and Holly are exactly 3 floors apart • Apollo does not live on floor 7 • Taylor lives at most 1 floor above Willow On which floor does Rohan live?
The unique arrangement (floor: person) is: {1: 'Willow', 2: 'Taylor', 3: 'Charlie', 4: 'Apollo', 5: 'Rohan', 6: 'Vikram', 7: 'Holly'}.

Question 8

7 people (Loki, Kavita, Michael, Shweta, Apollo, Ahmed, Athena) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Loki and Apollo is 1 • The sum of floor numbers of Apollo and Athena is 12 • Kavita lives above Ahmed • Loki and Ahmed are exactly 2 floors apart • Loki lives immediately above Michael On which floor does Apollo live?
The unique arrangement (floor: person) is: {1: 'Shweta', 2: 'Ahmed', 3: 'Michael', 4: 'Loki', 5: 'Apollo', 6: 'Kavita', 7: 'Athena'}.

Question 9

7 people (Jennifer, Rahul, Elizabeth, Devin, Skyler, Ibrahim, Fatima) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Elizabeth lives at most 2 floors above Skyler • The product of floor numbers of Elizabeth and Devin is 18 • The product of floor numbers of Jennifer and Ibrahim is 14 • There is exactly one floor between Skyler and Ibrahim • Skyler and Fatima are exactly 3 floors apart On which floor does Skyler live?
The unique arrangement (floor: person) is: {1: 'Fatima', 2: 'Ibrahim', 3: 'Devin', 4: 'Skyler', 5: 'Rahul', 6: 'Elizabeth', 7: 'Jennifer'}.

Question 10

5 people (Aisha, Joshua, Pooja, Akira, Logan) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Logan lives at most 2 floors above Aisha • Pooja does not live on floor 1 • Logan lives above Akira • The product of floor numbers of Joshua and Akira is 8 On which floor does Aisha live?
The unique arrangement (floor: person) is: {1: 'Aisha', 2: 'Akira', 3: 'Logan', 4: 'Joshua', 5: 'Pooja'}.

Question 11

6 people (Freya, Hermes, Sidney, Matthew, Yusuf, Charlie) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Sidney lives at most 1 floor above Yusuf • Yusuf lives on the bottom floor • Charlie lives immediately above Freya • The difference between floor numbers of Freya and Hermes is 3 On which floor does Freya live?
The unique arrangement (floor: person) is: {1: 'Yusuf', 2: 'Sidney', 3: 'Freya', 4: 'Charlie', 5: 'Matthew', 6: 'Hermes'}.

Question 12

5 people (Ritu, Jay, Ankit, Robert, Jordan) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Jay and Ankit is 8 • Jordan lives at most 2 floors above Ritu • Robert and Jordan are exactly 3 floors apart • The difference between floor numbers of Ritu and Jay is 3 On which floor does Jay live?
The unique arrangement (floor: person) is: {1: 'Robert', 2: 'Ritu', 3: 'Ankit', 4: 'Jordan', 5: 'Jay'}.

Question 13

5 people (Rin, Elizabeth, Riley, Michael, Kaito) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • There is exactly one floor between Rin and Elizabeth • Michael's floor number is divisible by 4 • The sum of floor numbers of Rin and Kaito is 3 • There are exactly two floors between Riley and Kaito On which floor does Michael live?
The unique arrangement (floor: person) is: {1: 'Rin', 2: 'Kaito', 3: 'Elizabeth', 4: 'Michael', 5: 'Riley'}.

Question 14

7 people (Karen, Daniel, Violet, Max, Sam, James, Raj) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The sum of floor numbers of Violet and Raj is 5 • The sum of floor numbers of Karen and Max is 8 • The sum of floor numbers of Karen and Violet is 9 • The sum of floor numbers of Daniel and James is 11 • The product of floor numbers of Violet and James is 10 On which floor does Max live?
The unique arrangement (floor: person) is: {1: 'Max', 2: 'Violet', 3: 'Raj', 4: 'Sam', 5: 'James', 6: 'Daniel', 7: 'Karen'}.

Question 15

5 people (Sam, Anjali, Ryan, Eva, Casey) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Ryan and Eva is 2 • Eva and Casey live on consecutive floors • The product of floor numbers of Sam and Anjali is 15 • Anjali lives at most 2 floors above Sam On which floor does Ryan live?
The unique arrangement (floor: person) is: {1: 'Casey', 2: 'Eva', 3: 'Sam', 4: 'Ryan', 5: 'Anjali'}.

Question 16

6 people (Hikari, Susan, Noor, Kavita, Amit, Casey) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Susan lives on an even-numbered floor • Susan and Noor are exactly 2 floors apart • Casey lives above Amit • Noor and Casey are exactly 4 floors apart • Susan lives immediately above Amit • Kavita does not live on floor 5 On which floor does Kavita live?
The unique arrangement (floor: person) is: {1: 'Kavita', 2: 'Noor', 3: 'Amit', 4: 'Susan', 5: 'Hikari', 6: 'Casey'}.

Question 17

5 people (Mia, Sidney, Daniel, Ankit, Yuki) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Sidney and Yuki is 2 • Yuki lives at most 1 floor above Mia • There is exactly one floor between Daniel and Yuki • Sidney lives at most 2 floors above Yuki On which floor does Mia live?
The unique arrangement (floor: person) is: {1: 'Daniel', 2: 'Mia', 3: 'Yuki', 4: 'Ankit', 5: 'Sidney'}.

Question 18

6 people (Holly, Akira, Morgan, Dakota, Barbara, Taylor) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Akira and Taylor is 15 • Taylor lives immediately above Barbara • The product of floor numbers of Akira and Morgan is 3 • Barbara lives above Dakota On which floor does Dakota live?
The unique arrangement (floor: person) is: {1: 'Morgan', 2: 'Dakota', 3: 'Akira', 4: 'Barbara', 5: 'Taylor', 6: 'Holly'}.

Question 19

5 people (Preeti, Mary, Jordan, Apollo, Morgan) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Apollo and Morgan are exactly 3 floors apart • Morgan lives at most 2 floors above Mary • The sum of floor numbers of Preeti and Mary is 7 • Preeti lives above Morgan On which floor does Morgan live?
The unique arrangement (floor: person) is: {1: 'Apollo', 2: 'Mary', 3: 'Jordan', 4: 'Morgan', 5: 'Preeti'}.

Question 20

5 people (Sunil, Layla, Elizabeth, Divya, Kenji) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Elizabeth lives above Divya • The difference between floor numbers of Sunil and Elizabeth is 3 • Kenji lives on floor 3 • There is exactly one floor between Sunil and Layla On which floor does Divya live?
The unique arrangement (floor: person) is: {1: 'Divya', 2: 'Sunil', 3: 'Kenji', 4: 'Layla', 5: 'Elizabeth'}.
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