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MHT CET · Maths · Mathematical Reasoning

The logical expression \(p(\sim p \vee \sim q)=\)

  1. A \(p \vee q\)
  2. B \(p \wedge q\)
  3. C F
  4. D T
Verified Solution

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).