Consider the following three statement:
p : 5 is a prime number.
q : 7 is a factor of 192.
r : L.C.M. of 5 and 7 is 35.
Then the truth value of which one of the following statements is true?

Options

A. `(P wedge Q) vee (~R)`
B. `P vee (~Q wedge R)`
C. `(~P) vee (Q wedge R)`
D. `(~ P) wedge (~Q wedge R)`

Answer

B

Explanation

Since, the statements
` P : 5` is a prime number, is a true statement.
`Q : 7` is a factor of 192, is false statement
and `R : LCM` of 5 and 7 is 35, is true statement.
So, truth value of
P is T, Q is F, R is T
Now let us check all the options.

Clearly, the truth value of `P vee (~Q wedge R) ` is T.