MHT CET · Maths · Mathematical Reasoning
The logical expression \(p(\sim p \vee \sim q)=\)
- A \(p \vee q\)
- B \(p \wedge q\)
- C F
- D T
Answer & Solution
Correct Answer
(B) \(p \wedge q\)
Step-by-step Solution
Detailed explanation
Solve the given expression by the help of truth table. So, the truth table will be:

As we know that the truth table for \(p \wedge(\sim p \vee \sim q)\) is same as the truth table of \(p \wedge q\).
Therefore, the correct answer is option (B).

As we know that the truth table for \(p \wedge(\sim p \vee \sim q)\) is same as the truth table of \(p \wedge q\).
Therefore, the correct answer is option (B).
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