If p and q are true and r and s are false sta | vedclass

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

Question

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

Vedclass · Accepted Answer

$(p \rightarrow q) \vee (r \leftrightarrow s)$

Vedclass · Answer

(C) Given: $p = T, q = T, r = F, s = F$. Check Option $(A): (q \wedge r) \vee (\sim p \wedge s) \equiv (T \wedge F) \vee (F \wedge F) \equiv F \vee F \equiv F$. Check Option $(B): (\sim p$ $\rightarrow q)$ $\rightarrow (r \wedge s) \equiv (\sim T$ $\rightarrow T)$ $\rightarrow (F \wedge F) \equiv (F$ $\rightarrow T)$ $\rightarrow F \equiv T$ $\rightarrow F \equiv F$. Check Option $(C): (p$ $\rightarrow q) \vee (r \leftrightarrow s) \equiv (T$ $\rightarrow T) \vee (F \leftrightarrow F) \equiv T \vee T \equiv T$. Check Option $(D): (p \wedge \sim r) \wedge (\sim q \vee s) \equiv (T \wedge \sim F) \wedge (\sim T \vee F) \equiv (T \wedge T) \wedge (F \vee F) \equiv T \wedge F \equiv F$. Thus,option $(C)$ is true.

If $p$ and $q$ are true and $r$ and $s$ are false statements,then which of the following is true?

Similar Questions

Write the following statement in the form of "if-then":
To get an $A^{+}$ in the class,it is necessary that you do all the exercises of the book.

For each of the following compound statements,first identify the connecting words and then break it into component statements.
Square of an integer is positive or negative.

If $p$ and $q$ are true statements and $r$ is a false statement,then which of the following is correct?

Consider the following statement patterns:
$A$. $(q \to p) \vee (p \to q)$
$B$. $(\sim p \vee \sim q) \leftrightarrow \sim (p \wedge q)$
$C$. $[(p \vee q) \wedge \sim p] \wedge \sim q$
$D$. $(p \wedge q) \wedge (\sim p \vee \sim q)$
Which of the following is correct?

Consider the statement patterns:
$A. (q \to p) \lor (p \to q)$
$B. (\sim p \lor \sim q) \leftrightarrow \sim (p \land q)$
$C. [(p \lor q) \land \sim p] \land \sim q$
$D. (p \land q) \land (\sim p \lor \sim q)$
Then identify the nature of these statement patterns.

Vedclass Test Series

Exam Paper Generator

Online Exam Module