Consider the following statement :
\( A: \) Rishi is judge.
\( B: \quad \) Rishi is honest.
\( C... VIDEO
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Other Videos By PW Solutions 2023-07-03 Which of the following statements is a tautology?
(a) \( ((\sim p) \vee q) \Rightarrow p \)
(b) ... 2023-07-03 Negation of the Boolean statement \( (p \vee q) \Rightarrow((\sim r) \vee p) \) is equivalent to... 2023-07-03 Which of the following statement is a tautology?
(a) \( ((\sim q) \wedge p) \wedge q \)
(b) \( (... 2023-07-03 Suppose a class has 7 students. The average marks of these students in the mathematics examinati... 2023-07-03 Let \( p, q, r \) be three logical statement. Consider the compound statements
\( S_{1}:((\sim p... 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...
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