The contrapositive of \( (p \vee q) \Rightarrow r \) is
(a) \( r \Rightarrow(p \vee q) \)
(b) \(...
The contrapositive of \( (p \vee q) \Rightarrow r \) is
(a) \( r \Rightarrow(p \vee q) \)
(b) \( \sim r \Rightarrow(p \vee q) \)
(c) \( \sim r \Rightarrow \sim p \wedge \sim q \)
(d) \( p \Rightarrow(q \vee r) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
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(... |
2023-07-03 | The statement \( (\sim(p \Leftrightarrow q)) \wedge p \) is equivalent to
(a) \( p \wedge q \)
(... |
2023-07-03 | The inverse of the statement \( (p \wedge \sim q) \rightarrow r \) is
(a) \( \sim(p \vee \sim q)... |
2023-07-03 | The statement \( p \Leftrightarrow q \) is not equivalent to
(a) \( (p \vee q) \Rightarrow(p \we... |
2023-07-03 | Find the derivative of \( \sin x \) from first principle. |
2023-07-03 | The negation of \( (\sim p \wedge q) \vee(p \wedge \sim q) \) is
(a) \( (p \vee \sim q) \vee(\si... |
2023-07-03 | If \( y=1+\frac{x}{1 !}+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\ldots \), then \( \frac{d y}{d x}=\... |