Q33 / 90 · JEE Main 2019 (12 Jan Shift 2) · Mathematics

The expression $~ (~ p \to q)$ is logically equivalent to

A
$p \land ~ q$
Correct answer
B
$~ p \land ~ q$
C
$p \land q$
D
$~ p \land q$

Solution

We know that $~ (p \to q) = p \land ~ q$ .

Hence, the expression $~ (~ p \to q)$ is logically equivalent to $~ p \land ~ q$ .

Hence, the correct answer is option: 'B'.

Relevant Questions

Negation of p q ~ p q is15 Apr, 2023 (M)Mathematical Reasoning
The negation of the statement ( ( A ( B C ) ) ( A B ) ) A is13 Apr, 2023 (M)Mathematical Reasoning
The statement ( p ( ~ q ) ) ( ( ~ p ) q ) ( ( ~ p ) ( ~ q ) ) is equivalent to _ _ _ _ _13 Apr, 2023 (E)Mathematical Reasoning
Among the two statements S 1 : p q p ~ q is a contradiction and S 2 : p q ~ p q p ~ q ~ p ~ q is a tautology12 Apr, 2023 (M)Mathematical Reasoning
The number of ordered triplets of the truth values of p , q and r such that the truth value of the statement p q p r q r is True, is equal t11 Apr, 2023 (M)Mathematical Reasoning
The converse of ~ p q r is11 Apr, 2023 (E)Mathematical Reasoning