Consider the following three statements:P: 11 | vedclass

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(A) First,determine the truth values of the statements:$P: 11$ is a prime number,which is $T$ (True).$Q: 7$ is a factor of $176$. Since $176 \div 7 =

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$P \vee (\sim Q \wedge R)$

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(A) First,determine the truth values of the statements:$P: 11$ is a prime number,which is $T$ (True).$Q: 7$ is a factor of $176$. Since $176 \div 7 = 25.14$,$7$ is not a factor,so $Q$ is $F$ (False).$R$: $LCM$ of $3$ and $7$ is $21$,which is $T$ (True).Now,evaluate the options:Option $A$: $P \vee (\sim Q \wedge R) \equiv T \vee (\sim F \wedge T) \equiv T \vee (T \wedge T) \equiv T \vee T \equiv T$.Option $B$: $(\sim P) \wedge (\sim Q \wedge R) \equiv F \wedge (T \wedge T) \equiv F \wedge T \equiv F$.Option $C$: $(P \wedge Q) \vee (\sim R) \equiv (T \wedge F) \vee F \equiv F \vee F \equiv F$.Option $D$: $(\sim P) \vee (Q \wedge R) \equiv F \vee (F \wedge T) \equiv F \vee F \equiv F$.Therefore,the statement in option $A$ is true.

Consider 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?

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Consider 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?