For integers $m$ and $n$, both greater than $1$ , consider the following three statements
$P$ : $m$ divides $n$
$Q$ : $m$ divides $n^2$
$R$ : $m$ is prime,
then true statement is
$Q \wedge R \to P$
$P \wedge Q \to R$
$Q \to R$
$Q \to P$
Negation of "If India wins the match then India will reach in the final" is :-
If $p \Rightarrow (\sim p \vee q)$ is false, the truth values of $p$ and $q$ are respectively
Let $p , q , r$ be three logical statements. Consider the compound statements $S _{1}:((\sim p ) \vee q ) \vee((\sim p ) \vee r ) \text { and }$ and $S _{2}: p \rightarrow( q \vee r )$ Then, which of the following is NOT true$?$
Which of the following is not a statement
If $p, q, r$ are simple propositions with truth values $T, F, T$, then the truth value of $(\sim p \vee q)\; \wedge \sim r \Rightarrow p$ is