statement_consistency_check Advanced Worksheet: Focus on exam-oriented approach statement_consistency_check ADVANCED

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Ravi lies, Farhan and Kiran 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 pearl.
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 pearl.
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 Neha tells truth, then Harsha has emerald.
But Harsha claims not to have it - contradiction if Harsha tells truth.
If Harsha lies, then Harsha DOES have the item - consistent with Neha.
Then Anita says Neha lies - but we assumed Neha tells truth - contradiction!

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

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

Let's test if all statements can be true:

Assumption 1: If Farhan tells truth, then Sanjay has artifact.
But Sanjay claims not to have it - contradiction if Sanjay tells truth.
If Sanjay lies, then Sanjay 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 Sanjay does NOT have artifact.
Sanjay says the same thing - consistent if Sanjay tells truth.
Manoj says Farhan lies - consistent if Manoj tells truth.

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Neha lies, Farhan 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 Farhan has bronze medal.
But Farhan claims not to have it - contradiction if Farhan tells truth.
If Farhan lies, then Farhan DOES have the item - consistent with Ravi.
Then Pooja says Ravi lies - but we assumed Ravi tells truth - contradiction!

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Farhan lies, Ravi and Kiran 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 crystal.
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 crystal.
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 Kiran tells truth, then Sunil has pearl.
But Sunil claims not to have it - contradiction if Sunil tells truth.
If Sunil lies, then Sunil DOES have the item - consistent with Kiran.
Then Manoj says Kiran lies - but we assumed Kiran tells truth - contradiction!

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

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

Let's test if all statements can be true:

Assumption 1: If Vikram tells truth, then Divya has ruby.
But Divya claims not to have it - contradiction if Divya tells truth.
If Divya lies, then Divya 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 Divya does NOT have ruby.
Divya says the same thing - consistent if Divya tells truth.
Sanjay says Vikram lies - consistent if Sanjay tells truth.

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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