statement_consistency_check - Expert Level: conceptual clarity statement_consistency_check EXPERT

This skill evaluation ⚡ worksheet focuses on statement_consistency_check - a key topic in Binary Logic. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master statement_consistency_check ssc cgl, statement_consistency_check reasoning tricks, and fast statement_consistency_check solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through statement_consistency_check
Worksheet 9 of 10 (88% complete)

Question 1

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

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

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

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

Question 2

Deepa says: 'Divya has the ruby' Divya says: 'I do not have the ruby' Amit 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 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 Deepa.
Then Amit says Deepa lies - but we assumed Deepa tells truth - contradiction!

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

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

Question 3

Rahul says: 'Sunil has the bronze medal' Sunil says: 'I do not have the bronze medal' Vikram 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 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 Rahul.
Then Vikram says Rahul lies - but we assumed Rahul tells truth - contradiction!

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

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

Question 4

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

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

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

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

Question 5

Deepa says: 'Gaurav has the emerald' Gaurav says: 'I do not have the emerald' 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 Gaurav has emerald.
But Gaurav claims not to have it - contradiction if Gaurav tells truth.
If Gaurav lies, then Gaurav 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 Gaurav does NOT have emerald.
Gaurav says the same thing - consistent if Gaurav tells truth.
Manoj says Deepa lies - consistent if Manoj tells truth.

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

Question 6

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

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

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

Question 7

Anita says: 'Divya has the ruby' Divya says: 'I do not have the ruby' Harsha 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 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 Anita.
Then Harsha says Anita lies - but we assumed Anita tells truth - contradiction!

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

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

Question 8

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

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

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

Question 9

Pooja says: 'Neha has the bronze medal' Neha says: 'I do not have the bronze medal' Harsha 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 Neha has bronze medal.
But Neha claims not to have it - contradiction if Neha tells truth.
If Neha lies, then Neha DOES have the item - consistent with Pooja.
Then Harsha says Pooja lies - but we assumed Pooja tells truth - contradiction!

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

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

Question 10

Sanjay says: 'Sunil has the crystal' Sunil says: 'I do not have the crystal' Pooja 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 Sunil has crystal.
But Sunil claims not to have it - contradiction if Sunil tells truth.
If Sunil lies, then Sunil DOES have the item - consistent with Sanjay.
Then Pooja says Sanjay lies - but we assumed Sanjay tells truth - contradiction!

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

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

Question 11

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

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

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

Question 12

Farhan says: 'Sanjay has the diamond' Sanjay says: 'I do not have the diamond' Meera 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 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 Farhan.
Then Meera says Farhan lies - but we assumed Farhan tells truth - contradiction!

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

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

Question 13

Deepa says: 'Anita has the crystal' Anita says: 'I do not have the crystal' Meera 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 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 Deepa.
Then Meera says Deepa lies - but we assumed Deepa tells truth - contradiction!

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

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

Question 14

Divya says: 'Vikram has the emerald' Vikram says: 'I do not have the emerald' Anita 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 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 Divya.
Then Anita says Divya lies - but we assumed Divya tells truth - contradiction!

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

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

Question 15

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

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

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

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

Question 16

Meera says: 'Kiran has the pearl' Kiran says: 'I do not have the pearl' Deepa 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 Kiran has pearl.
But Kiran claims not to have it - contradiction if Kiran tells truth.
If Kiran lies, then Kiran DOES have the item - consistent with Meera.
Then Deepa says Meera lies - but we assumed Meera tells truth - contradiction!

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

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

Question 17

Anita says: 'Harsha has the silver ring' Harsha says: 'I do not have the silver ring' Pooja 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 Harsha has silver ring.
But Harsha claims not to have it - contradiction if Harsha tells truth.
If Harsha lies, then Harsha DOES have the item - consistent with Anita.
Then Pooja says Anita lies - but we assumed Anita tells truth - contradiction!

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

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

Question 18

Anita says: 'Sunil has the gold coin' Sunil says: 'I do not have the gold coin' Divya 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 Sunil has gold coin.
But Sunil claims not to have it - contradiction if Sunil tells truth.
If Sunil lies, then Sunil 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 Sunil does NOT have gold coin.
Sunil says the same thing - consistent if Sunil tells truth.
Divya says Anita lies - consistent if Divya tells truth.

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

Question 19

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

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

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

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

Question 20

Pooja says: 'Meera has the crystal' Meera says: 'I do not have the crystal' Rahul 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 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 Pooja.
Then Rahul says Pooja lies - but we assumed Pooja tells truth - contradiction!

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

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