Master statement_consistency_check - Intermediate-Advanced Level Problems statement_consistency_check INTERMEDIATE ADVANCED

Let's test if all statements can be true:

Assumption 1: If Neha tells truth, then Gaurav has ruby.
But Gaurav claims not to have it - contradiction if Gaurav tells truth.
If Gaurav lies, then Gaurav DOES have the item - consistent with Neha.
Then Leena says Neha lies - but we assumed Neha tells truth - contradiction!

Assumption 2: If Neha lies, then Gaurav does NOT have ruby.
Gaurav says the same thing - consistent if Gaurav tells truth.
Leena says Neha lies - consistent if Leena tells truth.

Therefore, all statements CAN be consistent when Neha lies, Gaurav and Leena tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Amit tells truth, then Sunil has sapphire.
But Sunil claims not to have it - contradiction if Sunil tells truth.
If Sunil lies, then Sunil DOES have the item - consistent with Amit.
Then Priya says Amit lies - but we assumed Amit tells truth - contradiction!

Assumption 2: If Amit lies, then Sunil does NOT have sapphire.
Sunil says the same thing - consistent if Sunil tells truth.
Priya says Amit lies - consistent if Priya tells truth.

Therefore, all statements CAN be consistent when Amit lies, Sunil and Priya tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Divya tells truth, then Gaurav has emerald.
But Gaurav claims not to have it - contradiction if Gaurav tells truth.
If Gaurav lies, then Gaurav DOES have the item - consistent with Divya.
Then Sunil says Divya lies - but we assumed Divya tells truth - contradiction!

Assumption 2: If Divya lies, then Gaurav does NOT have emerald.
Gaurav says the same thing - consistent if Gaurav tells truth.
Sunil says Divya lies - consistent if Sunil tells truth.

Therefore, all statements CAN be consistent when Divya lies, Gaurav and Sunil tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Gaurav tells truth, then Pooja has silver ring.
But Pooja claims not to have it - contradiction if Pooja tells truth.
If Pooja lies, then Pooja DOES have the item - consistent with Gaurav.
Then Meera says Gaurav lies - but we assumed Gaurav tells truth - contradiction!

Assumption 2: If Gaurav lies, then Pooja does NOT have silver ring.
Pooja says the same thing - consistent if Pooja tells truth.
Meera says Gaurav lies - consistent if Meera tells truth.

Therefore, all statements CAN be consistent when Gaurav lies, Pooja and Meera tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Sanjay tells truth, then Pooja has artifact.
But Pooja claims not to have it - contradiction if Pooja tells truth.
If Pooja lies, then Pooja DOES have the item - consistent with Sanjay.
Then Manoj says Sanjay lies - but we assumed Sanjay tells truth - contradiction!

Assumption 2: If Sanjay lies, then Pooja does NOT have artifact.
Pooja says the same thing - consistent if Pooja tells truth.
Manoj says Sanjay lies - consistent if Manoj tells truth.

Therefore, all statements CAN be consistent when Sanjay lies, Pooja and Manoj tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Amit tells truth, then Divya has pearl.
But Divya claims not to have it - contradiction if Divya tells truth.
If Divya lies, then Divya DOES have the item - consistent with Amit.
Then Harsha says Amit lies - but we assumed Amit tells truth - contradiction!

Assumption 2: If Amit lies, then Divya does NOT have pearl.
Divya says the same thing - consistent if Divya tells truth.
Harsha says Amit lies - consistent if Harsha tells truth.

Therefore, all statements CAN be consistent when Amit lies, Divya and Harsha tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Ravi tells truth, then Gaurav has bronze medal.
But Gaurav claims not to have it - contradiction if Gaurav tells truth.
If Gaurav lies, then Gaurav DOES have the item - consistent with Ravi.
Then Sanjay says Ravi lies - but we assumed Ravi tells truth - contradiction!

Assumption 2: If Ravi lies, then Gaurav does NOT have bronze medal.
Gaurav says the same thing - consistent if Gaurav tells truth.
Sanjay says Ravi lies - consistent if Sanjay tells truth.

Therefore, all statements CAN be consistent when Ravi lies, Gaurav and Sanjay tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Sanjay tells truth, then Neha has emerald.
But Neha claims not to have it - contradiction if Neha tells truth.
If Neha lies, then Neha DOES have the item - consistent with Sanjay.
Then Kiran says Sanjay lies - but we assumed Sanjay tells truth - contradiction!

Assumption 2: If Sanjay lies, then Neha does NOT have emerald.
Neha says the same thing - consistent if Neha tells truth.
Kiran says Sanjay lies - consistent if Kiran tells truth.

Therefore, all statements CAN be consistent when Sanjay lies, Neha and Kiran tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Meera tells truth, then Gaurav has artifact.
But Gaurav claims not to have it - contradiction if Gaurav tells truth.
If Gaurav lies, then Gaurav DOES have the item - consistent with Meera.
Then Divya says Meera lies - but we assumed Meera tells truth - contradiction!

Assumption 2: If Meera lies, then Gaurav does NOT have artifact.
Gaurav says the same thing - consistent if Gaurav tells truth.
Divya says Meera lies - consistent if Divya tells truth.

Therefore, all statements CAN be consistent when Meera lies, Gaurav and Divya tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Leena tells truth, then Divya has pearl.
But Divya claims not to have it - contradiction if Divya tells truth.
If Divya lies, then Divya DOES have the item - consistent with Leena.
Then Kiran says Leena lies - but we assumed Leena tells truth - contradiction!

Assumption 2: If Leena lies, then Divya does NOT have pearl.
Divya says the same thing - consistent if Divya tells truth.
Kiran says Leena lies - consistent if Kiran tells truth.

Therefore, all statements CAN be consistent when Leena lies, Divya and Kiran tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Ravi tells truth, then Harsha has sapphire.
But Harsha claims not to have it - contradiction if Harsha tells truth.
If Harsha lies, then Harsha DOES have the item - consistent with Ravi.
Then Vikram says Ravi lies - but we assumed Ravi tells truth - contradiction!

Assumption 2: If Ravi lies, then Harsha does NOT have sapphire.
Harsha says the same thing - consistent if Harsha tells truth.
Vikram says Ravi lies - consistent if Vikram tells truth.

Therefore, all statements CAN be consistent when Ravi lies, Harsha and Vikram tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Priya tells truth, then Rohan has diamond.
But Rohan claims not to have it - contradiction if Rohan tells truth.
If Rohan lies, then Rohan DOES have the item - consistent with Priya.
Then Gaurav says Priya lies - but we assumed Priya tells truth - contradiction!

Assumption 2: If Priya lies, then Rohan does NOT have diamond.
Rohan says the same thing - consistent if Rohan tells truth.
Gaurav says Priya lies - consistent if Gaurav tells truth.

Therefore, all statements CAN be consistent when Priya lies, Rohan and Gaurav tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Gaurav tells truth, then Rohan has crystal.
But Rohan claims not to have it - contradiction if Rohan tells truth.
If Rohan lies, then Rohan DOES have the item - consistent with Gaurav.
Then Sunil says Gaurav lies - but we assumed Gaurav tells truth - contradiction!

Assumption 2: If Gaurav lies, then Rohan does NOT have crystal.
Rohan says the same thing - consistent if Rohan tells truth.
Sunil says Gaurav lies - consistent if Sunil tells truth.

Therefore, all statements CAN be consistent when Gaurav lies, Rohan and Sunil tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Sunil tells truth, then Leena has crystal.
But Leena claims not to have it - contradiction if Leena tells truth.
If Leena lies, then Leena DOES have the item - consistent with Sunil.
Then Harsha says Sunil lies - but we assumed Sunil tells truth - contradiction!

Assumption 2: If Sunil lies, then Leena does NOT have crystal.
Leena says the same thing - consistent if Leena tells truth.
Harsha says Sunil lies - consistent if Harsha tells truth.

Therefore, all statements CAN be consistent when Sunil lies, Leena and Harsha tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Pooja tells truth, then Anita has crystal.
But Anita claims not to have it - contradiction if Anita tells truth.
If Anita lies, then Anita DOES have the item - consistent with Pooja.
Then Kiran says Pooja lies - but we assumed Pooja tells truth - contradiction!

Assumption 2: If Pooja lies, then Anita does NOT have crystal.
Anita says the same thing - consistent if Anita tells truth.
Kiran says Pooja lies - consistent if Kiran tells truth.

Therefore, all statements CAN be consistent when Pooja lies, Anita and Kiran tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Meera tells truth, then Rahul has artifact.
But Rahul claims not to have it - contradiction if Rahul tells truth.
If Rahul lies, then Rahul DOES have the item - consistent with Meera.
Then Farhan says Meera lies - but we assumed Meera tells truth - contradiction!

Assumption 2: If Meera lies, then Rahul does NOT have artifact.
Rahul says the same thing - consistent if Rahul tells truth.
Farhan says Meera lies - consistent if Farhan tells truth.

Therefore, all statements CAN be consistent when Meera lies, Rahul and Farhan tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Kiran tells truth, then Neha has gold coin.
But Neha claims not to have it - contradiction if Neha tells truth.
If Neha lies, then Neha DOES have the item - consistent with Kiran.
Then Vikram says Kiran lies - but we assumed Kiran tells truth - contradiction!

Assumption 2: If Kiran lies, then Neha does NOT have gold coin.
Neha says the same thing - consistent if Neha tells truth.
Vikram says Kiran lies - consistent if Vikram tells truth.

Therefore, all statements CAN be consistent when Kiran lies, Neha and Vikram tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Deepa tells truth, then Harsha has artifact.
But Harsha claims not to have it - contradiction if Harsha tells truth.
If Harsha lies, then Harsha DOES have the item - consistent with Deepa.
Then Divya says Deepa lies - but we assumed Deepa tells truth - contradiction!

Assumption 2: If Deepa lies, then Harsha does NOT have artifact.
Harsha says the same thing - consistent if Harsha tells truth.
Divya says Deepa lies - consistent if Divya tells truth.

Therefore, all statements CAN be consistent when Deepa lies, Harsha and Divya tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Rahul tells truth, then Farhan has artifact.
But Farhan claims not to have it - contradiction if Farhan tells truth.
If Farhan lies, then Farhan DOES have the item - consistent with Rahul.
Then Meera says Rahul lies - but we assumed Rahul tells truth - contradiction!

Assumption 2: If Rahul lies, then Farhan does NOT have artifact.
Farhan says the same thing - consistent if Farhan tells truth.
Meera says Rahul lies - consistent if Meera tells truth.

Therefore, all statements CAN be consistent when Rahul lies, Farhan and Meera tell truth.
Thus, the statements are consistent.

Let's test if all statements can be true:

Assumption 1: If Vikram tells truth, then Pooja has emerald.
But Pooja claims not to have it - contradiction if Pooja tells truth.
If Pooja lies, then Pooja DOES have the item - consistent with Vikram.
Then Deepa says Vikram lies - but we assumed Vikram tells truth - contradiction!

Assumption 2: If Vikram lies, then Pooja does NOT have emerald.
Pooja says the same thing - consistent if Pooja tells truth.
Deepa says Vikram lies - consistent if Deepa tells truth.

Therefore, all statements CAN be consistent when Vikram lies, Pooja and Deepa tell truth.
Thus, the statements are consistent.