If \( p: 4 \) is an even prime number, \( q: 6 \) is a divisor of 12 and \( r \) : the HCF of 4 ... VIDEO
If \( p: 4 \) is an even prime number, \( q: 6 \) is a divisor of 12 and \( r \) : the HCF of 4 and 6 is 2 , then which one of the following is true?
(a) \( (p \wedge q) \)
(b) \( (p \vee q) \wedge \sim r \)
(c) \( \sim(q \wedge r) \wedge p \)
(d) \( \sim p \vee(q \wedge r) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Let \( r \in\{p, q, \sim p, \sim q\} \) be such that the logical statement \( r \vee(\sim p) \Ri... 2023-07-03 The number of choices of \( \Delta \in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\} \), Such th... 2023-07-03 The Boolean expression \( (\sim(p \wedge q)) \vee q \) is equivalent to :
(a) \( q \rightarrow(p... 2023-07-03 Consider the following two proposition:
\[
\begin{array}{l}
P_{1}: \sim(p \rightarrow \sim q) \\... 2023-07-03 the negation of the Boolean expression \( ((\sim q) \wedge p) \Rightarrow \) \( ((\sim p) \vee q... 2023-07-03 Consider the following statement :
\( A: \) Rishi is judge.
\( B: \quad \) Rishi is honest.
\( C... 2023-07-03 Let \( p, q, r \) be three logical statement. Consider the compound statements
\( S_{1}:((\sim p... 2023-07-03 The Boolean expression \( (\sim(p \wedge q)) \vee q \) is equivalent to :
(a) \( q \rightarrow(p... 2023-07-03 the negation of the Boolean expression \( ((\sim q) \wedge p) \Rightarrow \) \( ((\sim p) \vee q... 2023-07-03 Consider the following statement :
\( A \) : Rishi is a judge.
\( B \) : Rishi is honest.
\( C \... 2023-07-03 If \( p: 4 \) is an even prime number, \( q: 6 \) is a divisor of 12 and \( r \) : the HCF of 4 ... 2023-07-03 The propositions \( (p \Rightarrow \sim p) \wedge(\sim p \Rightarrow p) \) is a
(a) Tautology an... 2023-07-03 If \( p \Rightarrow(q \vee r) \) is false, then the truth values of \( p, q, r \) are respective... 2023-07-03 If \( p \) is any statement, \( t \) is tautology and \( c \) is a contradiction, then which of ... 2023-07-03 \( \sim((\sim p) \wedge q) \) is equal to
(a) \( p \vee(\sim q) \)
(b) \( p \vee q \)
(c) \( \si... 2023-07-03 \( (p \wedge \sim q) \wedge(\sim p \wedge q) \) is
(a) A tautology.
(b) A contradiction.
(c) Bot... 2023-07-03 The contrapositive of \( (p \vee q) \Rightarrow r \) is
(a) \( r \Rightarrow(p \vee q) \)
(b) \(... 2023-07-03 Let \( p, q \) and \( r \) be any three logical statements. Which of the following is true?
(a) ... 2023-07-03 The inverse of the statement, If \( x \) is zero then we cannot divide by \( x^{\prime} \) is
(a... 2023-07-03 Which of the following statements is false when \( p \) is true and \( q \) is false?
(a) \( (p ... 2023-07-03 Which of the following is true?
(a) \( p \Rightarrow q=\sim p \Rightarrow \sim q \)
(b) \( \sim(...