• # question_answer Consider the following three statements: P : 5 is a prime number. Q : 7 is a factor of 192. R : L.C.M.of5 and 7 is 35. Then the truth value of which one of the following statements is true? A) $(\tilde{\ }P)\vee (Q\wedge R)$ B) $(P\wedge Q)\vee (\tilde{\ }R)$ C) $(\tilde{\ }P)\wedge (\tilde{\ }Q\wedge R)$ D) $P\vee (\tilde{\ }Q\wedge R)$

 P is True Q is False R is True $\therefore$$\tilde{\ }Q$is True $\tilde{\ }Q\wedge R$is True $\therefore$$\tilde{\ }Q\wedge R$is True. $\therefore$$P\vee (\tilde{\ }Q\wedge R)$ is True.