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If the truth values of statements p,q,r are True, True and False respectively
Statement-1: Statement ~(p∨q)∧(p∨~r)∧(~p∨~q) is false.
Statement-2: For given truth values ~(p∨q) is false, (p∨~r)  is true, (~p∨~q) is false.
  • a)
    Statement−1 is True, Statement−2
    is True: Statement−2 is NOT a correct explanation for Statement−1
  • b)
    Statement −1 is True, Statement −2 is True: Statement−2 is a correct explanation for Statement − 1
  • c)
    Statement− 1 is True, Statement−2 is False
  • d)
    Statement − 1 is False, Statement−2 is True
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the truth values of statements p,q,r are True, True and False respe...
We have,
Hence, statement − 1 is True, Statement −2 is True: Statement−2 is a correct explanation for Statement − 1.
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Community Answer
If the truth values of statements p,q,r are True, True and False respe...
Explanation:

Statement 1:
- Given that p is True, q is True, and r is False.
- Substituting these values into the statement ~(p∨q)∧(p∨~r)∧(~p∨~q):
- ~(True∨True)∧(True∨True)∧(False∨False) = ~True∧True∧True = False∧True∧True = False
- Therefore, Statement 1 is True.

Statement 2:
- Given that ~(p∨q) is False, (p∨~r) is True, and (~p∨~q) is False.
- Substituting these values into the statement, we see that all the individual components of Statement 2 hold true.
- ~(True∨True) is False, (True∨False) is True, and (False∨False) is False.
- Therefore, Statement 2 is True.

Explanation of Correct Answer (Option B):
- Statement 1 is True based on the given truth values of p, q, and r.
- Statement 2 is also True as it correctly evaluates the truth values of the individual components of the statement.
- Statement 2 serves as a correct explanation for Statement 1, as it confirms the truth values of the components leading to the overall truth value of the statement.
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If the truth values of statements p,q,r are True, True and False respectivelyStatement-1: Statement ~(p∨q)∧(p∨~r)∧(~p∨~q) is false.Statement-2: For given truth values ~(p∨q)is false, (p∨~r) is true, (~p∨~q)is false.a)Statement−1 is True, Statement−2is True: Statement−2 is NOT a correct explanation for Statement−1b)Statement −1is True, Statement −2 is True: Statement−2is a correct explanation for Statement − 1c)Statement− 1is True, Statement−2 is Falsed)Statement − 1is False, Statement−2 is TrueCorrect answer is option 'B'. Can you explain this answer?
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If the truth values of statements p,q,r are True, True and False respectivelyStatement-1: Statement ~(p∨q)∧(p∨~r)∧(~p∨~q) is false.Statement-2: For given truth values ~(p∨q)is false, (p∨~r) is true, (~p∨~q)is false.a)Statement−1 is True, Statement−2is True: Statement−2 is NOT a correct explanation for Statement−1b)Statement −1is True, Statement −2 is True: Statement−2is a correct explanation for Statement − 1c)Statement− 1is True, Statement−2 is Falsed)Statement − 1is False, Statement−2 is TrueCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the truth values of statements p,q,r are True, True and False respectivelyStatement-1: Statement ~(p∨q)∧(p∨~r)∧(~p∨~q) is false.Statement-2: For given truth values ~(p∨q)is false, (p∨~r) is true, (~p∨~q)is false.a)Statement−1 is True, Statement−2is True: Statement−2 is NOT a correct explanation for Statement−1b)Statement −1is True, Statement −2 is True: Statement−2is a correct explanation for Statement − 1c)Statement− 1is True, Statement−2 is Falsed)Statement − 1is False, Statement−2 is TrueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the truth values of statements p,q,r are True, True and False respectivelyStatement-1: Statement ~(p∨q)∧(p∨~r)∧(~p∨~q) is false.Statement-2: For given truth values ~(p∨q)is false, (p∨~r) is true, (~p∨~q)is false.a)Statement−1 is True, Statement−2is True: Statement−2 is NOT a correct explanation for Statement−1b)Statement −1is True, Statement −2 is True: Statement−2is a correct explanation for Statement − 1c)Statement− 1is True, Statement−2 is Falsed)Statement − 1is False, Statement−2 is TrueCorrect answer is option 'B'. Can you explain this answer?.
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