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(D) First,evaluate the truth values of the given statements:$P: 5$ is a prime number. This is $True$ $(T)$.$Q: 7$ is a factor of $192$. Since $192 \di

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

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(D) First,evaluate the truth values of the given statements:$P: 5$ is a prime number. This is $True$ $(T)$.$Q: 7$ is a factor of $192$. Since $192 \div 7 = 27.42...$,this is $False$ $(F)$.$R: 	ext{L.C.M. of } 5 	ext{ and } 7 	ext{ is } 35$. This is $True$ $(T)$.Now,evaluate the options:$A: (\sim T) \vee (F \wedge T) = F \vee F = F$.$B: (T \wedge F) \vee (\sim T) = F \vee F = F$.$C: (\sim T) \wedge (\sim F \wedge T) = F \wedge (T \wedge T) = F \wedge T = F$.$D: T \vee (\sim F \wedge T) = T \vee (T \wedge T) = T \vee T = T$.Therefore,the statement in option $D$ is true.

Consider the following three statements:
$P: 5$ is a prime number.
$Q: 7$ is a factor of $192$.
$R: \text{L.C.M. of } 5 \text{ and } 7 \text{ is } 35$.
Then,the truth value of which one of the following statements is true?

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Consider the following three statements:$P: 5$ is a prime number.$Q: 7$ is a factor of $192$.$R: \text{L.C.M. of } 5 \text{ and } 7 \text{ is } 35$.Then,the truth value of which one of the following statements is true?