guilty_or_location_deduction - Intermediate Level: tricky scenarios handling guilty_or_location_deduction INTERMEDIATE

This expert challenge 📈 worksheet focuses on guilty_or_location_deduction - a key topic in Binary Logic. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve guilty_or_location_deduction, guilty_or_location_deduction tricks, and guilty_or_location_deduction shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

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Your progress through guilty_or_location_deduction
Worksheet 5 of 10 (44% complete)

Question 1

Sunil says: 'Amit took the crystal' Amit says: 'I did not take the crystal' Anita says: 'Sunil is a truth-teller' Sunil says: 'Exactly one of us took the crystal' Who took the crystal?
Step 1: If Sunil is truth-teller, then:
- Amit took the crystal (from statement 1).
- Exactly one person took the item (from statement 4).
- Amit says 'I did not take it' - FALSE, so Amit is liar (consistent).
- Anita says 'Sunil is truth-teller' - TRUE, so Anita is truth-teller.
This gives: Sunil=T, Amit=L, Anita=T with Amit as thief.

Step 2: If Sunil is liar, then:
- Amit did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Amit didn't take it, someone else must have.
- Anita says 'Sunil is truth-teller' - FALSE, so Anita is liar.
- Amit says 'I did not take it' - TRUE, so Amit is truth-teller.
- This gives Sunil=L, Amit=T, Anita=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Amit took the crystal.

Question 2

Ravi says: 'Rahul took the silver ring' Rahul says: 'I did not take the silver ring' Divya says: 'Ravi is a truth-teller' Ravi says: 'Exactly one of us took the silver ring' Who took the silver ring?
Step 1: If Ravi is truth-teller, then:
- Rahul took the silver ring (from statement 1).
- Exactly one person took the item (from statement 4).
- Rahul says 'I did not take it' - FALSE, so Rahul is liar (consistent).
- Divya says 'Ravi is truth-teller' - TRUE, so Divya is truth-teller.
This gives: Ravi=T, Rahul=L, Divya=T with Rahul as thief.

Step 2: If Ravi is liar, then:
- Rahul did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Rahul didn't take it, someone else must have.
- Divya says 'Ravi is truth-teller' - FALSE, so Divya is liar.
- Rahul says 'I did not take it' - TRUE, so Rahul is truth-teller.
- This gives Ravi=L, Rahul=T, Divya=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Rahul took the silver ring.

Question 3

Harsha says: 'Neha took the emerald' Neha says: 'I did not take the emerald' Rohan says: 'Harsha is a truth-teller' Harsha says: 'Exactly one of us took the emerald' Who took the emerald?
Step 1: If Harsha is truth-teller, then:
- Neha took the emerald (from statement 1).
- Exactly one person took the item (from statement 4).
- Neha says 'I did not take it' - FALSE, so Neha is liar (consistent).
- Rohan says 'Harsha is truth-teller' - TRUE, so Rohan is truth-teller.
This gives: Harsha=T, Neha=L, Rohan=T with Neha as thief.

Step 2: If Harsha is liar, then:
- Neha did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Neha didn't take it, someone else must have.
- Rohan says 'Harsha is truth-teller' - FALSE, so Rohan is liar.
- Neha says 'I did not take it' - TRUE, so Neha is truth-teller.
- This gives Harsha=L, Neha=T, Rohan=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Neha took the emerald.

Question 4

Farhan says: 'Sunil took the crystal' Sunil says: 'I did not take the crystal' Harsha says: 'Farhan is a truth-teller' Farhan says: 'Exactly one of us took the crystal' Who took the crystal?
Step 1: If Farhan is truth-teller, then:
- Sunil took the crystal (from statement 1).
- Exactly one person took the item (from statement 4).
- Sunil says 'I did not take it' - FALSE, so Sunil is liar (consistent).
- Harsha says 'Farhan is truth-teller' - TRUE, so Harsha is truth-teller.
This gives: Farhan=T, Sunil=L, Harsha=T with Sunil as thief.

Step 2: If Farhan is liar, then:
- Sunil did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Sunil didn't take it, someone else must have.
- Harsha says 'Farhan is truth-teller' - FALSE, so Harsha is liar.
- Sunil says 'I did not take it' - TRUE, so Sunil is truth-teller.
- This gives Farhan=L, Sunil=T, Harsha=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Sunil took the crystal.

Question 5

Gaurav says: 'Priya took the silver ring' Priya says: 'I did not take the silver ring' Kiran says: 'Gaurav is a truth-teller' Gaurav says: 'Exactly one of us took the silver ring' Who took the silver ring?
Step 1: If Gaurav is truth-teller, then:
- Priya took the silver ring (from statement 1).
- Exactly one person took the item (from statement 4).
- Priya says 'I did not take it' - FALSE, so Priya is liar (consistent).
- Kiran says 'Gaurav is truth-teller' - TRUE, so Kiran is truth-teller.
This gives: Gaurav=T, Priya=L, Kiran=T with Priya as thief.

Step 2: If Gaurav is liar, then:
- Priya did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Priya didn't take it, someone else must have.
- Kiran says 'Gaurav is truth-teller' - FALSE, so Kiran is liar.
- Priya says 'I did not take it' - TRUE, so Priya is truth-teller.
- This gives Gaurav=L, Priya=T, Kiran=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Priya took the silver ring.

Question 6

Amit says: 'Gaurav took the artifact' Gaurav says: 'I did not take the artifact' Priya says: 'Amit is a truth-teller' Amit says: 'Exactly one of us took the artifact' Who took the artifact?
Step 1: If Amit is truth-teller, then:
- Gaurav took the artifact (from statement 1).
- Exactly one person took the item (from statement 4).
- Gaurav says 'I did not take it' - FALSE, so Gaurav is liar (consistent).
- Priya says 'Amit is truth-teller' - TRUE, so Priya is truth-teller.
This gives: Amit=T, Gaurav=L, Priya=T with Gaurav as thief.

Step 2: If Amit is liar, then:
- Gaurav did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Gaurav didn't take it, someone else must have.
- Priya says 'Amit is truth-teller' - FALSE, so Priya is liar.
- Gaurav says 'I did not take it' - TRUE, so Gaurav is truth-teller.
- This gives Amit=L, Gaurav=T, Priya=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Gaurav took the artifact.

Question 7

Ravi says: 'Sanjay took the artifact' Sanjay says: 'I did not take the artifact' Divya says: 'Ravi is a truth-teller' Ravi says: 'Exactly one of us took the artifact' Who took the artifact?
Step 1: If Ravi is truth-teller, then:
- Sanjay took the artifact (from statement 1).
- Exactly one person took the item (from statement 4).
- Sanjay says 'I did not take it' - FALSE, so Sanjay is liar (consistent).
- Divya says 'Ravi is truth-teller' - TRUE, so Divya is truth-teller.
This gives: Ravi=T, Sanjay=L, Divya=T with Sanjay as thief.

Step 2: If Ravi is liar, then:
- Sanjay did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Sanjay didn't take it, someone else must have.
- Divya says 'Ravi is truth-teller' - FALSE, so Divya is liar.
- Sanjay says 'I did not take it' - TRUE, so Sanjay is truth-teller.
- This gives Ravi=L, Sanjay=T, Divya=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Sanjay took the artifact.

Question 8

Sanjay says: 'Neha took the gold coin' Neha says: 'I did not take the gold coin' Manoj says: 'Sanjay is a truth-teller' Sanjay says: 'Exactly one of us took the gold coin' Who took the gold coin?
Step 1: If Sanjay is truth-teller, then:
- Neha took the gold coin (from statement 1).
- Exactly one person took the item (from statement 4).
- Neha says 'I did not take it' - FALSE, so Neha is liar (consistent).
- Manoj says 'Sanjay is truth-teller' - TRUE, so Manoj is truth-teller.
This gives: Sanjay=T, Neha=L, Manoj=T with Neha as thief.

Step 2: If Sanjay is liar, then:
- Neha did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Neha didn't take it, someone else must have.
- Manoj says 'Sanjay is truth-teller' - FALSE, so Manoj is liar.
- Neha says 'I did not take it' - TRUE, so Neha is truth-teller.
- This gives Sanjay=L, Neha=T, Manoj=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Neha took the gold coin.

Question 9

Harsha says: 'Gaurav took the pearl' Gaurav says: 'I did not take the pearl' Neha says: 'Harsha is a truth-teller' Harsha says: 'Exactly one of us took the pearl' Who took the pearl?
Step 1: If Harsha is truth-teller, then:
- Gaurav took the pearl (from statement 1).
- Exactly one person took the item (from statement 4).
- Gaurav says 'I did not take it' - FALSE, so Gaurav is liar (consistent).
- Neha says 'Harsha is truth-teller' - TRUE, so Neha is truth-teller.
This gives: Harsha=T, Gaurav=L, Neha=T with Gaurav as thief.

Step 2: If Harsha is liar, then:
- Gaurav did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Gaurav didn't take it, someone else must have.
- Neha says 'Harsha is truth-teller' - FALSE, so Neha is liar.
- Gaurav says 'I did not take it' - TRUE, so Gaurav is truth-teller.
- This gives Harsha=L, Gaurav=T, Neha=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Gaurav took the pearl.

Question 10

Manoj says: 'Leena took the crystal' Leena says: 'I did not take the crystal' Gaurav says: 'Manoj is a truth-teller' Manoj says: 'Exactly one of us took the crystal' Who took the crystal?
Step 1: If Manoj is truth-teller, then:
- Leena took the crystal (from statement 1).
- Exactly one person took the item (from statement 4).
- Leena says 'I did not take it' - FALSE, so Leena is liar (consistent).
- Gaurav says 'Manoj is truth-teller' - TRUE, so Gaurav is truth-teller.
This gives: Manoj=T, Leena=L, Gaurav=T with Leena as thief.

Step 2: If Manoj is liar, then:
- Leena did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Leena didn't take it, someone else must have.
- Gaurav says 'Manoj is truth-teller' - FALSE, so Gaurav is liar.
- Leena says 'I did not take it' - TRUE, so Leena is truth-teller.
- This gives Manoj=L, Leena=T, Gaurav=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Leena took the crystal.

Question 11

Neha says: 'Amit took the diamond' Amit says: 'I did not take the diamond' Gaurav says: 'Neha is a truth-teller' Neha says: 'Exactly one of us took the diamond' Who took the diamond?
Step 1: If Neha is truth-teller, then:
- Amit took the diamond (from statement 1).
- Exactly one person took the item (from statement 4).
- Amit says 'I did not take it' - FALSE, so Amit is liar (consistent).
- Gaurav says 'Neha is truth-teller' - TRUE, so Gaurav is truth-teller.
This gives: Neha=T, Amit=L, Gaurav=T with Amit as thief.

Step 2: If Neha is liar, then:
- Amit did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Amit didn't take it, someone else must have.
- Gaurav says 'Neha is truth-teller' - FALSE, so Gaurav is liar.
- Amit says 'I did not take it' - TRUE, so Amit is truth-teller.
- This gives Neha=L, Amit=T, Gaurav=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Amit took the diamond.

Question 12

Harsha says: 'Priya took the diamond' Priya says: 'I did not take the diamond' Sunil says: 'Harsha is a truth-teller' Harsha says: 'Exactly one of us took the diamond' Who took the diamond?
Step 1: If Harsha is truth-teller, then:
- Priya took the diamond (from statement 1).
- Exactly one person took the item (from statement 4).
- Priya says 'I did not take it' - FALSE, so Priya is liar (consistent).
- Sunil says 'Harsha is truth-teller' - TRUE, so Sunil is truth-teller.
This gives: Harsha=T, Priya=L, Sunil=T with Priya as thief.

Step 2: If Harsha is liar, then:
- Priya did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Priya didn't take it, someone else must have.
- Sunil says 'Harsha is truth-teller' - FALSE, so Sunil is liar.
- Priya says 'I did not take it' - TRUE, so Priya is truth-teller.
- This gives Harsha=L, Priya=T, Sunil=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Priya took the diamond.

Question 13

Sunil says: 'Kiran took the crystal' Kiran says: 'I did not take the crystal' Ravi says: 'Sunil is a truth-teller' Sunil says: 'Exactly one of us took the crystal' Who took the crystal?
Step 1: If Sunil is truth-teller, then:
- Kiran took the crystal (from statement 1).
- Exactly one person took the item (from statement 4).
- Kiran says 'I did not take it' - FALSE, so Kiran is liar (consistent).
- Ravi says 'Sunil is truth-teller' - TRUE, so Ravi is truth-teller.
This gives: Sunil=T, Kiran=L, Ravi=T with Kiran as thief.

Step 2: If Sunil is liar, then:
- Kiran did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Kiran didn't take it, someone else must have.
- Ravi says 'Sunil is truth-teller' - FALSE, so Ravi is liar.
- Kiran says 'I did not take it' - TRUE, so Kiran is truth-teller.
- This gives Sunil=L, Kiran=T, Ravi=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Kiran took the crystal.

Question 14

Manoj says: 'Divya took the pearl' Divya says: 'I did not take the pearl' Anita says: 'Manoj is a truth-teller' Manoj says: 'Exactly one of us took the pearl' Who took the pearl?
Step 1: If Manoj is truth-teller, then:
- Divya took the pearl (from statement 1).
- Exactly one person took the item (from statement 4).
- Divya says 'I did not take it' - FALSE, so Divya is liar (consistent).
- Anita says 'Manoj is truth-teller' - TRUE, so Anita is truth-teller.
This gives: Manoj=T, Divya=L, Anita=T with Divya as thief.

Step 2: If Manoj is liar, then:
- Divya did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Divya didn't take it, someone else must have.
- Anita says 'Manoj is truth-teller' - FALSE, so Anita is liar.
- Divya says 'I did not take it' - TRUE, so Divya is truth-teller.
- This gives Manoj=L, Divya=T, Anita=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Divya took the pearl.

Question 15

Farhan says: 'Harsha took the ruby' Harsha says: 'I did not take the ruby' Sunil says: 'Farhan is a truth-teller' Farhan says: 'Exactly one of us took the ruby' Who took the ruby?
Step 1: If Farhan is truth-teller, then:
- Harsha took the ruby (from statement 1).
- Exactly one person took the item (from statement 4).
- Harsha says 'I did not take it' - FALSE, so Harsha is liar (consistent).
- Sunil says 'Farhan is truth-teller' - TRUE, so Sunil is truth-teller.
This gives: Farhan=T, Harsha=L, Sunil=T with Harsha as thief.

Step 2: If Farhan is liar, then:
- Harsha did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Harsha didn't take it, someone else must have.
- Sunil says 'Farhan is truth-teller' - FALSE, so Sunil is liar.
- Harsha says 'I did not take it' - TRUE, so Harsha is truth-teller.
- This gives Farhan=L, Harsha=T, Sunil=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Harsha took the ruby.

Question 16

Rohan says: 'Manoj took the bronze medal' Manoj says: 'I did not take the bronze medal' Deepa says: 'Rohan is a truth-teller' Rohan says: 'Exactly one of us took the bronze medal' Who took the bronze medal?
Step 1: If Rohan is truth-teller, then:
- Manoj took the bronze medal (from statement 1).
- Exactly one person took the item (from statement 4).
- Manoj says 'I did not take it' - FALSE, so Manoj is liar (consistent).
- Deepa says 'Rohan is truth-teller' - TRUE, so Deepa is truth-teller.
This gives: Rohan=T, Manoj=L, Deepa=T with Manoj as thief.

Step 2: If Rohan is liar, then:
- Manoj did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Manoj didn't take it, someone else must have.
- Deepa says 'Rohan is truth-teller' - FALSE, so Deepa is liar.
- Manoj says 'I did not take it' - TRUE, so Manoj is truth-teller.
- This gives Rohan=L, Manoj=T, Deepa=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Manoj took the bronze medal.

Question 17

Ravi says: 'Priya took the crystal' Priya says: 'I did not take the crystal' Leena says: 'Ravi is a truth-teller' Ravi says: 'Exactly one of us took the crystal' Who took the crystal?
Step 1: If Ravi is truth-teller, then:
- Priya took the crystal (from statement 1).
- Exactly one person took the item (from statement 4).
- Priya says 'I did not take it' - FALSE, so Priya is liar (consistent).
- Leena says 'Ravi is truth-teller' - TRUE, so Leena is truth-teller.
This gives: Ravi=T, Priya=L, Leena=T with Priya as thief.

Step 2: If Ravi is liar, then:
- Priya did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Priya didn't take it, someone else must have.
- Leena says 'Ravi is truth-teller' - FALSE, so Leena is liar.
- Priya says 'I did not take it' - TRUE, so Priya is truth-teller.
- This gives Ravi=L, Priya=T, Leena=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Priya took the crystal.

Question 18

Harsha says: 'Sunil took the pearl' Sunil says: 'I did not take the pearl' Kiran says: 'Harsha is a truth-teller' Harsha says: 'Exactly one of us took the pearl' Who took the pearl?
Step 1: If Harsha is truth-teller, then:
- Sunil took the pearl (from statement 1).
- Exactly one person took the item (from statement 4).
- Sunil says 'I did not take it' - FALSE, so Sunil is liar (consistent).
- Kiran says 'Harsha is truth-teller' - TRUE, so Kiran is truth-teller.
This gives: Harsha=T, Sunil=L, Kiran=T with Sunil as thief.

Step 2: If Harsha is liar, then:
- Sunil did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Sunil didn't take it, someone else must have.
- Kiran says 'Harsha is truth-teller' - FALSE, so Kiran is liar.
- Sunil says 'I did not take it' - TRUE, so Sunil is truth-teller.
- This gives Harsha=L, Sunil=T, Kiran=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Sunil took the pearl.

Question 19

Anita says: 'Gaurav took the gold coin' Gaurav says: 'I did not take the gold coin' Rahul says: 'Anita is a truth-teller' Anita says: 'Exactly one of us took the gold coin' Who took the gold coin?
Step 1: If Anita is truth-teller, then:
- Gaurav took the gold coin (from statement 1).
- Exactly one person took the item (from statement 4).
- Gaurav says 'I did not take it' - FALSE, so Gaurav is liar (consistent).
- Rahul says 'Anita is truth-teller' - TRUE, so Rahul is truth-teller.
This gives: Anita=T, Gaurav=L, Rahul=T with Gaurav as thief.

Step 2: If Anita is liar, then:
- Gaurav did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Gaurav didn't take it, someone else must have.
- Rahul says 'Anita is truth-teller' - FALSE, so Rahul is liar.
- Gaurav says 'I did not take it' - TRUE, so Gaurav is truth-teller.
- This gives Anita=L, Gaurav=T, Rahul=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Gaurav took the gold coin.

Question 20

Pooja says: 'Deepa took the silver ring' Deepa says: 'I did not take the silver ring' Sunil says: 'Pooja is a truth-teller' Pooja says: 'Exactly one of us took the silver ring' Who took the silver ring?
Step 1: If Pooja is truth-teller, then:
- Deepa took the silver ring (from statement 1).
- Exactly one person took the item (from statement 4).
- Deepa says 'I did not take it' - FALSE, so Deepa is liar (consistent).
- Sunil says 'Pooja is truth-teller' - TRUE, so Sunil is truth-teller.
This gives: Pooja=T, Deepa=L, Sunil=T with Deepa as thief.

Step 2: If Pooja is liar, then:
- Deepa did NOT take the item (statement 1 false).
- 'Exactly one person took it' is FALSE → either 0 or 2+ people took it.
- Since Deepa didn't take it, someone else must have.
- Sunil says 'Pooja is truth-teller' - FALSE, so Sunil is liar.
- Deepa says 'I did not take it' - TRUE, so Deepa is truth-teller.
- This gives Pooja=L, Deepa=T, Sunil=L with no thief identified - INCONSISTENT.

Therefore, the only consistent solution is Deepa took the silver ring.
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