Which of the following is equivalent to the Boolean expression $p \wedge \sim q$?
- A$\sim(q \rightarrow p)$
- B$\sim p \rightarrow \sim q$
- C$\sim(p \rightarrow \sim q)$
- D$\sim(p \rightarrow q)$
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The negation of $p \rightarrow (\sim p \vee q)$ is
DifficultKCET 2011
View SolutionIf the statement "If two triangles are congruent,then their areas are equal" is given,then what are the contrapositive and the inverse of the given statement?
The negation of the inverse of $\sim p \rightarrow q$ is
Rewrite the following statement in the form "$p$ if and only if $q$":
$p:$ If you watch television,then your mind is free and if your mind is free,then you watch television.
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View SolutionConsider the following three statements:
$P: 11$ is a prime number.
$Q: 7$ is a factor of $176$.
$R$: $LCM$ of $3$ and $7$ is $21$.
Then,the truth value of which one of the following statements is true?
$P: 11$ is a prime number.
$Q: 7$ is a factor of $176$.
$R$: $LCM$ of $3$ and $7$ is $21$.
Then,the truth value of which one of the following statements is true?
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