Consider the following three statements:P: 5 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

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

Vedclass · Answer

(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?

Similar Questions

The statement pattern $\sim(p \vee q) \vee(\sim p \wedge q)$ is equivalent to

The negation of the statement $(( A \wedge ( B \vee C ))$ $\Rightarrow ( A \vee B ))$ $\Rightarrow A$ is

Write the negation of the following statement and check whether the resulting statement is true:
Every natural number is greater than $0.$

What is the identity element for the conjunction $(AND)$ operation in Boolean algebra of logical statements?

Which of the following is a statement?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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?