Master guilty_or_location_deduction - Beginner Level Problems guilty_or_location_deduction BEGINNER

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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