Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following:
The match will not be played and weather is not good and ground is wet.
If the match will not be played, then either weather is not good or ground is wet.
The match will not be played or weather is good and ground is not wet.
The match will be played and weather is not good or ground is wet.
Which Venn diagram represent the truth of the statements “No child is naughty”
Where $U$ = Universal set of human beings, $C$ = Set of children, $N$ = Set of naughty persons
If the truth value of the Boolean expression $((\mathrm{p} \vee \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r}) \wedge(\sim \mathrm{r})) \rightarrow(\mathrm{p} \wedge \mathrm{q}) \quad$ is false then the truth values of the statements $\mathrm{p}, \mathrm{q}, \mathrm{r}$ respectively can be:
Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is
Which Venn diagram represent the truth of the statement“No policeman is a thief”
If $p$ and $q$ are simple propositions, then $p \Rightarrow q$ is false when