Let a : sim (p wedge sim r) vee (sim q vee s) | vedclass

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

Question

(C) Given $p = T, q = T, r = F, s = F$. For $a : \sim (p \wedge \sim r) \vee (\sim q \vee s)$: $a \equiv \sim (T \wedge \sim F) \vee (\sim T \vee F)$

Vedclass · Accepted Answer

$F, F$

Vedclass · Answer

(C) Given $p = T, q = T, r = F, s = F$. For $a : \sim (p \wedge \sim r) \vee (\sim q \vee s)$: $a \equiv \sim (T \wedge \sim F) \vee (\sim T \vee F)$ $a \equiv \sim (T \wedge T) \vee (F \vee F)$ $a \equiv \sim T \vee F$ $a \equiv F \vee F$ $a \equiv F$. For $b : (p \vee s) \leftrightarrow (q \wedge r)$: $b \equiv (T \vee F) \leftrightarrow (T \wedge F)$ $b \equiv T \leftrightarrow F$ $b \equiv F$. Thus,the truth values of $a$ and $b$ are $F$ and $F$ respectively.

Let $a : \sim (p \wedge \sim r) \vee (\sim q \vee s)$ and $b : (p \vee s) \leftrightarrow (q \wedge r)$. If the truth values of $p$ and $q$ are true and that of $r$ and $s$ are false,then the truth values of $a$ and $b$ are respectively:

Similar Questions

Which of the following is not a statement?

The logical expression $p \wedge (\sim p \vee \sim q) =$ ?

What is the identity element for the sum (disjunction) in Boolean algebra of logical statements?

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

If $p \Rightarrow (\sim p \vee q)$ is false,the truth values of $p$ and $q$ are respectively

Vedclass Test Series

Exam Paper Generator

Online Exam Module