statement_consistency_check: Worksheet 2 - Beginner Practice statement_consistency_check BEGINNER

Let's test if all statements can be true:

Assumption 1: If Rahul 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 Rahul.
Then Farhan says Rahul lies - but we assumed Rahul tells truth - contradiction!

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Priya lies, Gaurav 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 Divya has sapphire.
But Divya claims not to have it - contradiction if Divya tells truth.
If Divya lies, then Divya DOES have the item - consistent with Priya.
Then Harsha says Priya lies - but we assumed Priya tells truth - contradiction!

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

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

Let's test if all statements can be true:

Assumption 1: If Sanjay 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 Sanjay.
Then Amit says Sanjay lies - but we assumed Sanjay tells truth - contradiction!

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

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

Let's test if all statements can be true:

Assumption 1: If Deepa 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 Deepa.
Then Harsha says Deepa lies - but we assumed Deepa tells truth - contradiction!

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

Assumption 1: If Neha 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 Neha.
Then Harsha says Neha lies - but we assumed Neha tells truth - contradiction!

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

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

Let's test if all statements can be true:

Assumption 1: If Vikram 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 Vikram.
Then Sanjay says Vikram lies - but we assumed Vikram tells truth - contradiction!

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

Therefore, all statements CAN be consistent when Vikram lies, Meera and Sanjay 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 Anita 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.
Anita says Amit lies - consistent if Anita tells truth.

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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