statement_consistency_check - Intermediate Level: tricky scenarios handling statement_consistency_check INTERMEDIATE

This expert challenge 📈 worksheet focuses on statement_consistency_check - a key topic in Binary Logic. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve statement_consistency_check, statement_consistency_check tricks, and statement_consistency_check shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through statement_consistency_check
Worksheet 5 of 10 (44% complete)

Question 1

Amit says: 'Deepa has the gold coin' Deepa says: 'I do not have the gold coin' Manoj says: 'Amit is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 2

Manoj says: 'Harsha has the emerald' Harsha says: 'I do not have the emerald' Sunil says: 'Manoj is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 3

Deepa says: 'Neha has the crystal' Neha says: 'I do not have the crystal' Manoj says: 'Deepa is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 4

Farhan says: 'Meera has the diamond' Meera says: 'I do not have the diamond' Priya says: 'Farhan is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 5

Deepa says: 'Meera has the gold coin' Meera says: 'I do not have the gold coin' Rahul says: 'Deepa is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 6

Meera says: 'Divya has the sapphire' Divya says: 'I do not have the sapphire' Harsha says: 'Meera is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 7

Rohan says: 'Kiran has the emerald' Kiran says: 'I do not have the emerald' Gaurav says: 'Rohan is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 8

Farhan says: 'Meera has the crystal' Meera says: 'I do not have the crystal' Sunil says: 'Farhan is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 9

Farhan says: 'Divya has the silver ring' Divya says: 'I do not have the silver ring' Neha says: 'Farhan is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 10

Ravi says: 'Divya has the pearl' Divya says: 'I do not have the pearl' Sunil says: 'Ravi is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 11

Sanjay says: 'Leena has the pearl' Leena says: 'I do not have the pearl' Sunil says: 'Sanjay is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

Assumption 1: If Sanjay tells truth, then Leena has pearl.
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 Sunil says Sanjay lies - but we assumed Sanjay tells truth - contradiction!

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

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

Question 12

Sanjay says: 'Leena has the artifact' Leena says: 'I do not have the artifact' Anita says: 'Sanjay is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

Assumption 1: If Sanjay tells truth, then Leena has artifact.
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 Anita says Sanjay lies - but we assumed Sanjay tells truth - contradiction!

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

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

Question 13

Rahul says: 'Neha has the ruby' Neha says: 'I do not have the ruby' Kiran says: 'Rahul is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 14

Anita says: 'Priya has the sapphire' Priya says: 'I do not have the sapphire' Rahul says: 'Anita is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 15

Kiran says: 'Farhan has the crystal' Farhan says: 'I do not have the crystal' Leena says: 'Kiran is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

Assumption 1: If Kiran tells truth, then Farhan has crystal.
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 crystal.
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.

Question 16

Pooja says: 'Priya has the emerald' Priya says: 'I do not have the emerald' Amit says: 'Pooja is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 17

Vikram says: 'Rohan has the pearl' Rohan says: 'I do not have the pearl' Harsha says: 'Vikram is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 18

Amit says: 'Pooja has the emerald' Pooja says: 'I do not have the emerald' Farhan says: 'Amit is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

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

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

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

Question 19

Rahul says: 'Farhan has the silver ring' Farhan says: 'I do not have the silver ring' Rohan says: 'Rahul is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

Assumption 1: If Rahul tells truth, then Farhan has silver ring.
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 Rohan says Rahul lies - but we assumed Rahul tells truth - contradiction!

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

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

Question 20

Divya says: 'Sunil has the ruby' Sunil says: 'I do not have the ruby' Gaurav says: 'Divya is lying' Can all these statements be true simultaneously?
Let's test if all statements can be true:

Assumption 1: If Divya tells truth, then Sunil has ruby.
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 Gaurav says Divya lies - but we assumed Divya tells truth - contradiction!

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

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