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Master Olympiad-Level: Advanced Mathematical Logic - Intermediate-Advanced Level Problems Olympiad-Level: Advanced Mathematical Logic INTERMEDIATE ADVANCED

Excel in competitive exams with this self assessment worksheet on Olympiad-Level: Advanced Mathematical Logic. Worksheet 7 of 10 contains 20 intermediate-advanced-level problems. Target your accuracy improvement skills while practicing olympiad-level: advanced mathematical logic shortcut methods, olympiad-level: advanced mathematical logic bank exam questions, and olympiad-level: advanced mathematical logic ssc cgl.

📝 Worksheet 7 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 7 of 10 (66% complete)

Question 1

6 people (Quinn, Michael, Omar, Patricia, Freya, Pooja) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Quinn and Pooja are exactly 3 floors apart • Omar and Pooja are exactly 4 floors apart • Quinn lives immediately above Patricia • Michael lives on the bottom floor On which floor does Pooja live?
The unique arrangement (floor: person) is: {1: 'Michael', 2: 'Pooja', 3: 'Freya', 4: 'Patricia', 5: 'Quinn', 6: 'Omar'}.

Question 2

6 people (Manish, Divya, John, Sara, Ryan, Skyler) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Divya lives immediately below Sara • The sum of floor numbers of Sara and Ryan is 7 • Skyler does not live on floor 1 • The sum of floor numbers of Divya and John is 10 On which floor does John live?
The unique arrangement (floor: person) is: {1: 'Manish', 2: 'Ryan', 3: 'Skyler', 4: 'Divya', 5: 'Sara', 6: 'John'}.

Question 3

5 people (Kenji, Hiroshi, Sara, Elizabeth, Akira) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Kenji lives on an even-numbered floor • The sum of floor numbers of Sara and Elizabeth is 8 • Hiroshi and Elizabeth are exactly 1 floor apart • The sum of floor numbers of Kenji and Akira is 5 On which floor does Akira live?
The unique arrangement (floor: person) is: {1: 'Akira', 2: 'Hiroshi', 3: 'Elizabeth', 4: 'Kenji', 5: 'Sara'}.

Question 4

6 people (Cameron, Akira, Parker, Holly, Yuki, Amit) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Akira lives immediately above Yuki • Cameron lives at most 1 floor above Parker • The product of floor numbers of Akira and Amit is 24 • Cameron lives on an odd-numbered floor On which floor does Amit live?
The unique arrangement (floor: person) is: {1: 'Holly', 2: 'Parker', 3: 'Cameron', 4: 'Amit', 5: 'Yuki', 6: 'Akira'}.

Question 5

6 people (Zoe, Joshua, Blake, Tyr, Meena, Neha) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Zoe lives immediately above Neha • The product of floor numbers of Joshua and Blake is 2 • The product of floor numbers of Blake and Meena is 8 • Blake and Neha are exactly 3 floors apart On which floor does Blake live?
The unique arrangement (floor: person) is: {1: 'Joshua', 2: 'Blake', 3: 'Tyr', 4: 'Meena', 5: 'Neha', 6: 'Zoe'}.

Question 6

7 people (Reese, Holly, Iris, Michael, Sara, Violet, Odin) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Holly and Odin is 10 • Iris lives at most 2 floors above Michael • Odin lives above Reese • Odin lives on an even-numbered floor • The sum of floor numbers of Iris and Sara is 13 On which floor does Violet live?
The unique arrangement (floor: person) is: {1: 'Reese', 2: 'Odin', 3: 'Violet', 4: 'Michael', 5: 'Holly', 6: 'Iris', 7: 'Sara'}.

Question 7

5 people (Elizabeth, Vikram, Hikari, Joshua, Meena) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Elizabeth and Vikram is 20 • The sum of floor numbers of Elizabeth and Joshua is 6 • Hikari's floor number is divisible by 2 • There is exactly one floor between Joshua and Meena On which floor does Meena live?
The unique arrangement (floor: person) is: {1: 'Joshua', 2: 'Hikari', 3: 'Meena', 4: 'Vikram', 5: 'Elizabeth'}.

Question 8

6 people (Jennifer, Pooja, Omar, Odin, Holly, Kavita) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Omar lives on floor 2 • Odin lives on an odd-numbered floor • Jennifer and Omar are exactly 1 floor apart • Odin lives immediately below Holly • Holly and Kavita are exactly 1 floor apart On which floor does Odin live?
The unique arrangement (floor: person) is: {1: 'Jennifer', 2: 'Omar', 3: 'Odin', 4: 'Holly', 5: 'Kavita', 6: 'Pooja'}.

Question 9

7 people (Artemis, Parker, Kaito, Preeti, Alex, Ben, Anjali) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Anjali lives on an odd-numbered floor • Parker and Kaito live on consecutive floors • Artemis lives above Ben • The difference between floor numbers of Artemis and Anjali is 1 • The sum of floor numbers of Parker and Ben is 9 • The difference between floor numbers of Alex and Ben is 2 On which floor does Alex live?
The unique arrangement (floor: person) is: {1: 'Alex', 2: 'Preeti', 3: 'Ben', 4: 'Artemis', 5: 'Anjali', 6: 'Parker', 7: 'Kaito'}.

Question 10

7 people (Kavita, Sunil, Jessica, Jordan, Noor, Yusuf, Divya) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Divya lives immediately above Jordan • Jessica lives immediately below Kavita • The product of floor numbers of Noor and Divya is 7 • The difference between floor numbers of Sunil and Divya is 4 On which floor does Jordan live?
The unique arrangement (floor: person) is: {1: 'Noor', 2: 'Yusuf', 3: 'Sunil', 4: 'Jessica', 5: 'Kavita', 6: 'Jordan', 7: 'Divya'}.

Question 11

7 people (Elizabeth, Preeti, Morgan, Riley, Sarah, Matthew, Rose) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Sarah lives immediately below Morgan • The product of floor numbers of Preeti and Rose is 30 • There are exactly two floors between Preeti and Matthew • The product of floor numbers of Elizabeth and Rose is 42 On which floor does Morgan live?
The unique arrangement (floor: person) is: {1: 'Riley', 2: 'Matthew', 3: 'Sarah', 4: 'Morgan', 5: 'Preeti', 6: 'Rose', 7: 'Elizabeth'}.

Question 12

7 people (Anjali, Meena, Zoe, Rin, Sakura, Fatima, Elizabeth) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Rin and Elizabeth are exactly 1 floor apart • The product of floor numbers of Zoe and Elizabeth is 30 • Sakura lives immediately below Zoe • The sum of floor numbers of Meena and Zoe is 6 • Fatima lives immediately below Sakura On which floor does Rin live?
The unique arrangement (floor: person) is: {1: 'Meena', 2: 'Anjali', 3: 'Fatima', 4: 'Sakura', 5: 'Zoe', 6: 'Elizabeth', 7: 'Rin'}.

Question 13

5 people (Neha, Ritu, Kaito, Sara, Layla) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • Neha and Layla are exactly 1 floor apart • Neha does not live on floor 4 • There are exactly two floors between Neha and Kaito • Sara lives at most 1 floor above Ritu On which floor does Ritu live?
The unique arrangement (floor: person) is: {1: 'Layla', 2: 'Neha', 3: 'Ritu', 4: 'Sara', 5: 'Kaito'}.

Question 14

5 people (Daisy, Holly, David, Preeti, Zoe) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • David and Zoe are exactly 4 floors apart • Preeti lives immediately below Zoe • The difference between floor numbers of Daisy and Zoe is 2 • Zoe lives on a prime-numbered floor On which floor does Preeti live?
The unique arrangement (floor: person) is: {1: 'David', 2: 'Holly', 3: 'Daisy', 4: 'Preeti', 5: 'Zoe'}.

Question 15

7 people (Daisy, Michael, Logan, Preeti, Rohan, Hazel, Ibrahim) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • Rohan and Ibrahim are exactly 1 floor apart • Daisy and Logan are exactly 3 floors apart • The product of floor numbers of Preeti and Rohan is 10 • Logan and Ibrahim are exactly 3 floors apart • Michael lives at most 1 floor above Rohan On which floor does Ibrahim live?
The unique arrangement (floor: person) is: {1: 'Ibrahim', 2: 'Rohan', 3: 'Michael', 4: 'Logan', 5: 'Preeti', 6: 'Hazel', 7: 'Daisy'}.

Question 16

7 people (Meena, Rin, Hermes, Alex, Rose, Holly, Devin) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Hermes and Rose is 1 • The sum of floor numbers of Alex and Holly is 8 • Devin lives at most 2 floors above Rose • Meena and Alex are exactly 1 floor apart • Rose lives immediately above Alex On which floor does Meena live?
The unique arrangement (floor: person) is: {1: 'Meena', 2: 'Alex', 3: 'Rose', 4: 'Hermes', 5: 'Devin', 6: 'Holly', 7: 'Rin'}.

Question 17

7 people (Robert, Omar, Violet, Haruki, John, Reese, Leo) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Robert and Haruki is 6 • Omar and Haruki are exactly 5 floors apart • Robert does not live on floor 7 • The difference between floor numbers of Omar and Leo is 2 • John and Leo live on consecutive floors • Omar and Violet live on consecutive floors On which floor does John live?
The unique arrangement (floor: person) is: {1: 'Robert', 2: 'Omar', 3: 'Violet', 4: 'Leo', 5: 'John', 6: 'Reese', 7: 'Haruki'}.

Question 18

5 people (Susan, Divya, Kenji, Rin, Odin) live on floors 1 to 5. The following mathematical and logical constraints apply: Based on these clues: • The product of floor numbers of Divya and Rin is 8 • Kenji lives on floor 1 • Odin lives at most 2 floors above Susan • The sum of floor numbers of Rin and Odin is 7 On which floor does Odin live?
The unique arrangement (floor: person) is: {1: 'Kenji', 2: 'Rin', 3: 'Susan', 4: 'Divya', 5: 'Odin'}.

Question 19

6 people (Barbara, Charlie, Violet, Ibrahim, Morgan, Willow) live on floors 1 to 6. The following mathematical and logical constraints apply: Based on these clues: • Willow lives at most 2 floors above Morgan • The sum of floor numbers of Barbara and Charlie is 4 • Charlie and Willow are exactly 1 floor apart • Ibrahim lives above Violet On which floor does Ibrahim live?
The unique arrangement (floor: person) is: {1: 'Barbara', 2: 'Morgan', 3: 'Charlie', 4: 'Willow', 5: 'Violet', 6: 'Ibrahim'}.

Question 20

7 people (Violet, Deepak, James, Artemis, Casey, Rin, Sakura) live on floors 1 to 7. The following mathematical and logical constraints apply: Based on these clues: • The difference between floor numbers of Deepak and Sakura is 5 • The difference between floor numbers of Deepak and Casey is 2 • The sum of floor numbers of Deepak and Rin is 6 • Artemis and Sakura are exactly 2 floors apart • Violet and Deepak live on consecutive floors On which floor does Deepak live?
The unique arrangement (floor: person) is: {1: 'Deepak', 2: 'Violet', 3: 'Casey', 4: 'Artemis', 5: 'Rin', 6: 'Sakura', 7: 'James'}.
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