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Olympiad-Level: Advanced Mathematical Logic - Expert Level: conceptual clarity Olympiad-Level: Advanced Mathematical Logic EXPERT

This skill evaluation ⚡ worksheet focuses on Olympiad-Level: Advanced Mathematical Logic - a key topic in Floor Puzzles. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master olympiad-level: advanced mathematical logic ssc cgl, olympiad-level: advanced mathematical logic reasoning tricks, and fast olympiad-level: advanced mathematical logic solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Olympiad-Level: Advanced Mathematical Logic
Worksheet 9 of 10 (88% complete)

Question 1

5 people (Raj, Peyton, Jasmine, Logan, Mia) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Raj and Logan are exactly 1 floor apart • There is exactly one floor between Jasmine and Logan • Mia does not live on floor 5 • Raj and Mia are exactly 4 floors apart On which floor does Raj live?
The unique arrangement (floor: person) is: {1: 'Mia', 2: 'Jasmine', 3: 'Peyton', 4: 'Logan', 5: 'Raj'}.

Question 2

6 people (Preeti, Thor, Rin, Kaito, Robert, Joshua) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Thor and Kaito is 4 • The sum of floor numbers of Thor and Robert is 3 • The difference between floor numbers of Thor and Joshua is 2 • The sum of floor numbers of Preeti and Robert is 8 On which floor does Preeti live?
The unique arrangement (floor: person) is: {1: 'Thor', 2: 'Robert', 3: 'Joshua', 4: 'Rin', 5: 'Kaito', 6: 'Preeti'}.

Question 3

5 people (Tom, Jennifer, Mary, Charlie, Logan) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Charlie lives at most 1 floor above Mary • Charlie does not live on floor 4 • The sum of floor numbers of Mary and Logan is 7 • The product of floor numbers of Jennifer and Charlie is 10 On which floor does Charlie live?
The unique arrangement (floor: person) is: {1: 'Tom', 2: 'Jennifer', 3: 'Logan', 4: 'Mary', 5: 'Charlie'}.

Question 4

7 people (Athena, Hikari, Jordan, Dakota, Taylor, Hiroshi, Divya) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Jordan lives immediately below Divya • Athena and Taylor live on consecutive floors • Hikari lives above Taylor • The sum of floor numbers of Jordan and Dakota is 11 • The difference between floor numbers of Dakota and Taylor is 2 On which floor does Divya live?
The unique arrangement (floor: person) is: {1: 'Hiroshi', 2: 'Athena', 3: 'Taylor', 4: 'Hikari', 5: 'Dakota', 6: 'Jordan', 7: 'Divya'}.

Question 5

7 people (Ibrahim, Matthew, Reese, Alex, Pooja, Mia, Skyler) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Alex and Skyler is 3 • The sum of floor numbers of Ibrahim and Alex is 10 • The product of floor numbers of Ibrahim and Pooja is 14 • Pooja and Mia live on consecutive floors • There is exactly one floor between Matthew and Pooja On which floor does Matthew live?
The unique arrangement (floor: person) is: {1: 'Mia', 2: 'Pooja', 3: 'Alex', 4: 'Matthew', 5: 'Reese', 6: 'Skyler', 7: 'Ibrahim'}.

Question 6

7 people (Robin, Jordan, Patricia, Cameron, Susan, David, Devin) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Cameron and David is 2 • The product of floor numbers of Cameron and Devin is 14 • The difference between floor numbers of Patricia and Cameron is 4 • The sum of floor numbers of Cameron and Susan is 3 • Jordan does not live on floor 5 On which floor does David live?
The unique arrangement (floor: person) is: {1: 'Susan', 2: 'Cameron', 3: 'Jordan', 4: 'David', 5: 'Robin', 6: 'Patricia', 7: 'Devin'}.

Question 7

6 people (Freya, Deepak, Meena, Loki, Sara, Dakota) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Freya and Loki is 6 • Freya and Sara live on consecutive floors • Loki lives on the bottom floor • The difference between floor numbers of Deepak and Dakota is 1 • There are exactly two floors between Deepak and Sara On which floor does Dakota live?
The unique arrangement (floor: person) is: {1: 'Loki', 2: 'Deepak', 3: 'Dakota', 4: 'Meena', 5: 'Sara', 6: 'Freya'}.

Question 8

7 people (Yuki, Jennifer, Freya, Barbara, Rohan, Hikari, Meena) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Rohan lives at most 2 floors above Hikari • The difference between floor numbers of Freya and Barbara is 2 • There are exactly two floors between Yuki and Freya • The sum of floor numbers of Freya and Barbara is 8 • Yuki lives at most 2 floors above Rohan • Barbara lives above Meena On which floor does Yuki live?
The unique arrangement (floor: person) is: {1: 'Meena', 2: 'Hikari', 3: 'Freya', 4: 'Rohan', 5: 'Barbara', 6: 'Yuki', 7: 'Jennifer'}.

Question 9

7 people (Sara, Deepak, Sora, Ankit, Thor, Elizabeth, Ben) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Sara and Deepak is 10 • Deepak and Ankit are exactly 1 floor apart • Ben does not live on floor 7 • The product of floor numbers of Sora and Thor is 24 • Sora lives immediately above Sara • Ben lives above Deepak On which floor does Thor live?
The unique arrangement (floor: person) is: {1: 'Ankit', 2: 'Deepak', 3: 'Ben', 4: 'Thor', 5: 'Sara', 6: 'Sora', 7: 'Elizabeth'}.

Question 10

7 people (Rose, Apollo, Jennifer, Haruki, Sidney, Taylor, Ivy) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Jennifer lives on the bottom floor • Taylor lives on an odd-numbered floor • Apollo lives at most 2 floors above Rose • Ivy lives at most 2 floors above Taylor • Haruki and Ivy are exactly 1 floor apart • Ivy lives at most 1 floor above Apollo On which floor does Apollo live?
The unique arrangement (floor: person) is: {1: 'Jennifer', 2: 'Rose', 3: 'Taylor', 4: 'Apollo', 5: 'Ivy', 6: 'Haruki', 7: 'Sidney'}.

Question 11

6 people (Robin, Zoe, Haruki, Jasmine, Hazel, Casey) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Zoe lives immediately above Robin • There is exactly one floor between Robin and Haruki • Hazel lives above Haruki • Robin lives on floor 5 • Casey lives on floor 1 On which floor does Haruki live?
The unique arrangement (floor: person) is: {1: 'Casey', 2: 'Jasmine', 3: 'Haruki', 4: 'Hazel', 5: 'Robin', 6: 'Zoe'}.

Question 12

6 people (Riley, Alex, Kenji, Jay, Ibrahim, Sidney) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Kenji lives immediately below Sidney • Ibrahim lives above Jay • There is exactly one floor between Jay and Sidney • Riley and Alex live on consecutive floors • The product of floor numbers of Riley and Sidney is 18 On which floor does Jay live?
The unique arrangement (floor: person) is: {1: 'Jay', 2: 'Kenji', 3: 'Sidney', 4: 'Ibrahim', 5: 'Alex', 6: 'Riley'}.

Question 13

5 people (Joshua, Aisha, Kaito, Violet, Raj) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Aisha lives above Raj • The product of floor numbers of Violet and Raj is 8 • Joshua lives on floor 1 • The difference between floor numbers of Joshua and Kaito is 4 On which floor does Aisha live?
The unique arrangement (floor: person) is: {1: 'Joshua', 2: 'Raj', 3: 'Aisha', 4: 'Violet', 5: 'Kaito'}.

Question 14

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

Question 15

5 people (Daniel, Cameron, Zeus, Morgan, Lily) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Daniel and Cameron are exactly 1 floor apart • Cameron and Lily live on consecutive floors • Morgan lives above Daniel • Lily lives on floor 4 On which floor does Morgan live?
The unique arrangement (floor: person) is: {1: 'Zeus', 2: 'Daniel', 3: 'Cameron', 4: 'Lily', 5: 'Morgan'}.

Question 16

5 people (Rose, Ryan, Haruki, Omar, Sam) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Omar does not live on floor 2 • Rose and Ryan are exactly 4 floors apart • Ryan and Omar are exactly 1 floor apart • Omar and Sam are exactly 2 floors apart On which floor does Haruki live?
The unique arrangement (floor: person) is: {1: 'Rose', 2: 'Sam', 3: 'Haruki', 4: 'Omar', 5: 'Ryan'}.

Question 17

5 people (Tom, Vikram, Haruki, Divya, Parker) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Parker lives at most 1 floor above Divya • Tom and Haruki are exactly 1 floor apart • Parker does not live on floor 3 • Tom lives immediately above Parker On which floor does Haruki live?
The unique arrangement (floor: person) is: {1: 'Divya', 2: 'Parker', 3: 'Tom', 4: 'Haruki', 5: 'Vikram'}.

Question 18

7 people (Deepak, Parker, Odin, Kavita, Sunil, Jay, Jasmine) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Parker and Odin is 42 • The product of floor numbers of Kavita and Jasmine is 12 • Odin and Kavita are exactly 3 floors apart • The product of floor numbers of Kavita and Sunil is 3 • Jay lives above Kavita On which floor does Deepak live?
The unique arrangement (floor: person) is: {1: 'Sunil', 2: 'Deepak', 3: 'Kavita', 4: 'Jasmine', 5: 'Jay', 6: 'Odin', 7: 'Parker'}.

Question 19

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

Question 20

6 people (David, Fatima, Susan, Sarah, Hikari, Meena) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Fatima and Susan is 10 • The difference between floor numbers of David and Hikari is 3 • David and Meena live on consecutive floors • The difference between floor numbers of Fatima and Sarah is 1 • Meena lives above Fatima On which floor does Hikari live?
The unique arrangement (floor: person) is: {1: 'Sarah', 2: 'Fatima', 3: 'David', 4: 'Meena', 5: 'Susan', 6: 'Hikari'}.
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