guilty_or_location_deduction Beginner-Intermediate Worksheet: Focus on common variations practice guilty_or_location_deduction BEGINNER INTERMEDIATE

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Step 1: If Anita is truth-teller, then:
- Rohan took the emerald (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 'Anita is truth-teller' - TRUE, so Leena is truth-teller.
This gives: Anita=T, Rohan=L, Leena=T with Rohan as thief.

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

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

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

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

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

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

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

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

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

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

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

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).
- Manoj says 'Deepa is truth-teller' - TRUE, so Manoj is truth-teller.
This gives: Deepa=T, Rohan=L, Manoj=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.
- Manoj says 'Deepa is truth-teller' - FALSE, so Manoj is liar.
- Rohan says 'I did not take it' - TRUE, so Rohan is truth-teller.
- This gives Deepa=L, Rohan=T, Manoj=L with no thief identified - INCONSISTENT.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Step 1: If Farhan is truth-teller, then:
- Sunil took the silver ring (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).
- Gaurav says 'Farhan is truth-teller' - TRUE, so Gaurav is truth-teller.
This gives: Farhan=T, Sunil=L, Gaurav=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.
- Gaurav says 'Farhan is truth-teller' - FALSE, so Gaurav is liar.
- Sunil says 'I did not take it' - TRUE, so Sunil is truth-teller.
- This gives Farhan=L, Sunil=T, Gaurav=L with no thief identified - INCONSISTENT.

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

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

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

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