statement_consistency_check - Absolute-Beginner Level: core concept mastery statement_consistency_check ABSOLUTE BEGINNER

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Harsha lies, Meera 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 Vikram has emerald.
But Vikram claims not to have it - contradiction if Vikram tells truth.
If Vikram lies, then Vikram DOES have the item - consistent with Amit.
Then Rohan says Amit lies - but we assumed Amit tells truth - contradiction!

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

Assumption 2: If Priya lies, then Anita does NOT have pearl.
Anita says the same thing - consistent if Anita tells truth.
Meera says Priya lies - consistent if Meera tells truth.

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

Assumption 2: If Rohan lies, then Ravi does NOT have emerald.
Ravi says the same thing - consistent if Ravi tells truth.
Farhan says Rohan lies - consistent if Farhan tells truth.

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

Assumption 2: If Anita lies, then Rahul does NOT have sapphire.
Rahul says the same thing - consistent if Rahul tells truth.
Divya says Anita lies - consistent if Divya tells truth.

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Gaurav lies, Leena 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 Rohan has ruby.
But Rohan claims not to have it - contradiction if Rohan tells truth.
If Rohan lies, then Rohan DOES have the item - consistent with Kiran.
Then Meera says Kiran lies - but we assumed Kiran tells truth - contradiction!

Assumption 2: If Kiran lies, then Rohan does NOT have ruby.
Rohan says the same thing - consistent if Rohan tells truth.
Meera says Kiran lies - consistent if Meera tells truth.

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