Question

The conditional $(p˄q)\Rightarrow p$is

• A. A tautology
• B. A fallacy i.e., contradiction
• C. Neither tautology nor fallacy
• D. None of these

Answer 1

The correct option is A

A tautology

Explanation For The Correct Option:

Determining the correct statement:

There are two decision variable $p\&q$ and each has 2 input

Making truth table:

p	q	$p\wedge q$	$\left(p\wedge q\right)\Rightarrow p$
T	T	T	T
T	F	F	T
F	T	F	T
F	F	F	T

From, Above the table, we can conclude that it is a tautology.

Hence, the correct answer is option (A)