Which of the following logical statements is | vedclass

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

Question

(A) Step $1$: $A$ tautology is a statement that is true for all possible truth values of its components.Step $2$: Analyze option $(A)$: $[(p 	o q) \l

Vedclass · Accepted Answer

$[(p 	o q) \land \sim q] 	o \sim p$

Vedclass · Answer

(A) Step $1$: $A$ tautology is a statement that is true for all possible truth values of its components.Step $2$: Analyze option $(A)$: $[(p 	o q) \land \sim q] 	o \sim p$. Step $3$: Construct the truth table for $[(p 	o q) \land \sim q] 	o \sim p$:- If $p=T, q=T$: $[(T 	o T) \land F] 	o F \implies [T \land F] 	o F \implies F 	o F = T$.- If $p=T, q=F$: $[(T 	o F) \land T] 	o F \implies [F \land T] 	o F \implies F 	o F = T$.- If $p=F, q=T$: $[(F 	o T) \land F] 	o T \implies [T \land F] 	o T \implies F 	o T = T$.- If $p=F, q=F$: $[(F 	o F) \land T] 	o T \implies [T \land T] 	o T \implies T 	o T = T$.Step $4$: Since all truth values are $T$, the statement is a tautology.

Which of the following logical statements is a tautology?

Similar Questions

For each of the following compound statements,first identify the connecting words and then break it into component statements.
The sand heats up quickly in the Sun and does not cool down fast at night.

The simplest form of the following switching circuit is:

The statement $(p \wedge (p$ $\rightarrow q) \wedge (q$ $\rightarrow r))$ $\rightarrow r$ is :

Negation of the Boolean statement $(p \vee q) \Rightarrow ((\sim r) \vee p)$ is equivalent to

Write the contrapositive of the following statement:
If you are born in India,then you are a citizen of India.

Vedclass Test Series

Exam Paper Generator

Online Exam Module