The negation of the converse of p q is

Correct Answer is : ∼p∧∼q p q∼p∧∼q

Correct Answer is : ∼p∧∼q p q∼p∧∼q

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MHTCET 18 Apr 2026 Shift 1 Paper

Question : 112 of 150

Marks: +1, -0

p \vee q

Solution:

Concept:

The converse of a disjunction is obtained by reversing the operands, and its negation uses De Morgan's law.

Explanation:

The converse of

p \vee q

q \vee p

Since disjunction is commutative,

q \vee p \equiv p \vee q

Now negate the converse:

\sim(q \vee p)

Using De Morgan's law,

\sim(q \vee p) \equiv \sim q \wedge \sim p

This is equivalent to

\sim p \wedge \sim q

Answer:

Thus, the correct option is D:

\sim p \wedge \sim q

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