statement_consistency_check: Worksheet 10 - Expert Practice statement_consistency_check EXPERT

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Rohan lies, Ravi and Pooja 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 Anita 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.
Anita says Pooja lies - consistent if Anita tells truth.

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

Let's test if all statements can be true:

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

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

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Manoj lies, Leena 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 artifact.
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 Rohan says Harsha lies - but we assumed Harsha tells truth - contradiction!

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

Assumption 1: If Gaurav tells truth, then Ravi has silver ring.
But Ravi claims not to have it - contradiction if Ravi tells truth.
If Ravi lies, then Ravi 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 Ravi does NOT have silver ring.
Ravi says the same thing - consistent if Ravi tells truth.
Anita says Gaurav lies - consistent if Anita tells truth.

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

Let's test if all statements can be true:

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

Therefore, all statements CAN be consistent when Ravi lies, Rohan and Sanjay 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 Anita 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 Anita.
Then Amit says Anita lies - but we assumed Anita tells truth - contradiction!

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

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

Let's test if all statements can be true:

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

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

Therefore, all statements CAN be consistent when Manoj lies, Ravi and Farhan 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 crystal.
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 Amit says Ravi lies - but we assumed Ravi tells truth - contradiction!

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

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

Let's test if all statements can be true:

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

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

Let's test if all statements can be true:

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

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

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

Let's test if all statements can be true:

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

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

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