Master statement_consistency_check - Beginner Level Problems statement_consistency_check BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on statement_consistency_check. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing statement_consistency_check practice, statement_consistency_check for competitive exams, and how to solve statement_consistency_check.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through statement_consistency_check
Worksheet 3 of 10 (22% complete)

Question 1

Sanjay says: 'Leena has the ruby' Leena says: 'I do not have the ruby' 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 Leena has ruby.
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 Pooja says Sanjay lies - but we assumed Sanjay tells truth - contradiction!

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

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

Question 2

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

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

Question 3

Farhan says: 'Vikram has the pearl' Vikram says: 'I do not have the pearl' Gaurav 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 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 Farhan.
Then Gaurav says Farhan lies - but we assumed Farhan tells truth - contradiction!

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

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

Question 4

Kiran says: 'Ravi has the crystal' Ravi says: 'I do not have the crystal' Vikram 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 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 Kiran.
Then Vikram says Kiran lies - but we assumed Kiran tells truth - contradiction!

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

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

Question 5

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

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

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

Question 6

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

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

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

Question 7

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

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

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

Question 8

Divya says: 'Farhan has the crystal' Farhan says: 'I do not have the crystal' Leena 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 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 Divya.
Then Leena says Divya lies - but we assumed Divya tells truth - contradiction!

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

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

Question 9

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

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

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

Question 10

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

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

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

Question 11

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

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

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

Question 12

Pooja says: 'Vikram has the pearl' Vikram says: 'I do not have the pearl' Sanjay 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 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 Pooja.
Then Sanjay says Pooja lies - but we assumed Pooja tells truth - contradiction!

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

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

Question 13

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

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

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

Question 14

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

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

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

Question 15

Kiran says: 'Vikram has the bronze medal' Vikram says: 'I do not have the bronze medal' Priya 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 Vikram has bronze medal.
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 bronze medal.
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.

Question 16

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

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

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

Question 17

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

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

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

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

Question 18

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

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

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

Question 19

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

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

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

Question 20

Kiran says: 'Leena has the gold coin' Leena says: 'I do not have the gold coin' Amit 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 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 Kiran.
Then Amit says Kiran lies - but we assumed Kiran tells truth - contradiction!

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

Therefore, all statements CAN be consistent when Kiran lies, Leena and Amit tell truth.
Thus, the statements are consistent.
Previous Worksheet Next Worksheet