guilty_or_location_deduction: Worksheet 10 - Expert Practice guilty_or_location_deduction EXPERT

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

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

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

Step 1: If Meera is truth-teller, then:
- Farhan took the sapphire (from statement 1).
- Exactly one person took the item (from statement 4).
- Farhan says 'I did not take it' - FALSE, so Farhan is liar (consistent).
- Priya says 'Meera is truth-teller' - TRUE, so Priya is truth-teller.
This gives: Meera=T, Farhan=L, Priya=T with Farhan as thief.

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

Therefore, the only consistent solution is Farhan took the sapphire.

Step 1: If Rohan 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).
- Gaurav says 'Rohan is truth-teller' - TRUE, so Gaurav is truth-teller.
This gives: Rohan=T, Neha=L, Gaurav=T with Neha as thief.

Step 2: If Rohan 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.
- Gaurav says 'Rohan is truth-teller' - FALSE, so Gaurav is liar.
- Neha says 'I did not take it' - TRUE, so Neha is truth-teller.
- This gives Rohan=L, Neha=T, Gaurav=L with no thief identified - INCONSISTENT.

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

Step 1: If Meera is truth-teller, then:
- Kiran took the sapphire (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).
- Rohan says 'Meera is truth-teller' - TRUE, so Rohan is truth-teller.
This gives: Meera=T, Kiran=L, Rohan=T with Kiran as thief.

Step 2: If Meera 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.
- Rohan says 'Meera is truth-teller' - FALSE, so Rohan is liar.
- Kiran says 'I did not take it' - TRUE, so Kiran is truth-teller.
- This gives Meera=L, Kiran=T, Rohan=L with no thief identified - INCONSISTENT.

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

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

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

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

Step 1: If Manoj is truth-teller, then:
- Neha took the artifact (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).
- Harsha says 'Manoj is truth-teller' - TRUE, so Harsha is truth-teller.
This gives: Manoj=T, Neha=L, Harsha=T with Neha as thief.

Step 2: If Manoj 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.
- Harsha says 'Manoj is truth-teller' - FALSE, so Harsha is liar.
- Neha says 'I did not take it' - TRUE, so Neha is truth-teller.
- This gives Manoj=L, Neha=T, Harsha=L with no thief identified - INCONSISTENT.

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

Step 1: If Harsha is truth-teller, then:
- Deepa took the bronze medal (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).
- Neha says 'Harsha is truth-teller' - TRUE, so Neha is truth-teller.
This gives: Harsha=T, Deepa=L, Neha=T with Deepa as thief.

Step 2: If Harsha 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.
- Neha says 'Harsha is truth-teller' - FALSE, so Neha is liar.
- Deepa says 'I did not take it' - TRUE, so Deepa is truth-teller.
- This gives Harsha=L, Deepa=T, Neha=L with no thief identified - INCONSISTENT.

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

Step 1: If Ravi is truth-teller, then:
- Manoj took the emerald (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).
- Rahul says 'Ravi is truth-teller' - TRUE, so Rahul is truth-teller.
This gives: Ravi=T, Manoj=L, Rahul=T with Manoj as thief.

Step 2: If Ravi 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.
- Rahul says 'Ravi is truth-teller' - FALSE, so Rahul is liar.
- Manoj says 'I did not take it' - TRUE, so Manoj is truth-teller.
- This gives Ravi=L, Manoj=T, Rahul=L with no thief identified - INCONSISTENT.

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

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

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

Therefore, the only consistent solution is Ravi took the sapphire.

Step 1: If Harsha is truth-teller, then:
- Kiran took the emerald (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).
- Divya says 'Harsha is truth-teller' - TRUE, so Divya is truth-teller.
This gives: Harsha=T, Kiran=L, Divya=T with Kiran as thief.

Step 2: If Harsha 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.
- Divya says 'Harsha is truth-teller' - FALSE, so Divya is liar.
- Kiran says 'I did not take it' - TRUE, so Kiran is truth-teller.
- This gives Harsha=L, Kiran=T, Divya=L with no thief identified - INCONSISTENT.

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

Step 1: If Manoj is truth-teller, then:
- Farhan took the diamond (from statement 1).
- Exactly one person took the item (from statement 4).
- Farhan says 'I did not take it' - FALSE, so Farhan is liar (consistent).
- Pooja says 'Manoj is truth-teller' - TRUE, so Pooja is truth-teller.
This gives: Manoj=T, Farhan=L, Pooja=T with Farhan as thief.

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

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

Step 1: If Amit is truth-teller, then:
- Leena took the silver ring (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).
- Anita says 'Amit is truth-teller' - TRUE, so Anita is truth-teller.
This gives: Amit=T, Leena=L, Anita=T with Leena as thief.

Step 2: If Amit 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.
- Anita says 'Amit is truth-teller' - FALSE, so Anita is liar.
- Leena says 'I did not take it' - TRUE, so Leena is truth-teller.
- This gives Amit=L, Leena=T, Anita=L with no thief identified - INCONSISTENT.

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

Step 1: If Gaurav is truth-teller, then:
- Divya took the diamond (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).
- Leena says 'Gaurav is truth-teller' - TRUE, so Leena is truth-teller.
This gives: Gaurav=T, Divya=L, Leena=T with Divya as thief.

Step 2: If Gaurav 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.
- Leena says 'Gaurav is truth-teller' - FALSE, so Leena is liar.
- Divya says 'I did not take it' - TRUE, so Divya is truth-teller.
- This gives Gaurav=L, Divya=T, Leena=L with no thief identified - INCONSISTENT.

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

Step 1: If Neha is truth-teller, then:
- Gaurav took the crystal (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).
- Manoj says 'Neha is truth-teller' - TRUE, so Manoj is truth-teller.
This gives: Neha=T, Gaurav=L, Manoj=T with Gaurav as thief.

Step 2: If Neha 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.
- Manoj says 'Neha is truth-teller' - FALSE, so Manoj is liar.
- Gaurav says 'I did not take it' - TRUE, so Gaurav is truth-teller.
- This gives Neha=L, Gaurav=T, Manoj=L with no thief identified - INCONSISTENT.

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

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

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

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

Step 1: If Vikram is truth-teller, then:
- Neha took the diamond (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).
- Priya says 'Vikram is truth-teller' - TRUE, so Priya is truth-teller.
This gives: Vikram=T, Neha=L, Priya=T with Neha as thief.

Step 2: If Vikram 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.
- Priya says 'Vikram is truth-teller' - FALSE, so Priya is liar.
- Neha says 'I did not take it' - TRUE, so Neha is truth-teller.
- This gives Vikram=L, Neha=T, Priya=L with no thief identified - INCONSISTENT.

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

Step 1: If Pooja is truth-teller, then:
- Divya took the ruby (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).
- Harsha says 'Pooja is truth-teller' - TRUE, so Harsha is truth-teller.
This gives: Pooja=T, Divya=L, Harsha=T with Divya as thief.

Step 2: If Pooja 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.
- Harsha says 'Pooja is truth-teller' - FALSE, so Harsha is liar.
- Divya says 'I did not take it' - TRUE, so Divya is truth-teller.
- This gives Pooja=L, Divya=T, Harsha=L with no thief identified - INCONSISTENT.

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

Step 1: If Meera is truth-teller, then:
- Deepa took the pearl (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).
- Leena says 'Meera is truth-teller' - TRUE, so Leena is truth-teller.
This gives: Meera=T, Deepa=L, Leena=T with Deepa as thief.

Step 2: If Meera 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.
- Leena says 'Meera is truth-teller' - FALSE, so Leena is liar.
- Deepa says 'I did not take it' - TRUE, so Deepa is truth-teller.
- This gives Meera=L, Deepa=T, Leena=L with no thief identified - INCONSISTENT.

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

Step 1: If Priya is truth-teller, then:
- Manoj took the gold coin (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).
- Rahul says 'Priya is truth-teller' - TRUE, so Rahul is truth-teller.
This gives: Priya=T, Manoj=L, Rahul=T with Manoj as thief.

Step 2: If Priya 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.
- Rahul says 'Priya is truth-teller' - FALSE, so Rahul is liar.
- Manoj says 'I did not take it' - TRUE, so Manoj is truth-teller.
- This gives Priya=L, Manoj=T, Rahul=L with no thief identified - INCONSISTENT.

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

Step 1: If Pooja 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).
- Gaurav says 'Pooja is truth-teller' - TRUE, so Gaurav is truth-teller.
This gives: Pooja=T, Kiran=L, Gaurav=T with Kiran as thief.

Step 2: If Pooja 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.
- Gaurav says 'Pooja is truth-teller' - FALSE, so Gaurav is liar.
- Kiran says 'I did not take it' - TRUE, so Kiran is truth-teller.
- This gives Pooja=L, Kiran=T, Gaurav=L with no thief identified - INCONSISTENT.

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