The negation of the Boolean expression $((\sim q) \wedge p) \Rightarrow ((\sim p) \vee q)$ is logically equivalent to

  • A
    $p \Rightarrow q$
  • B
    $q \Rightarrow p$
  • C
    $\sim(p \Rightarrow q)$
  • D
    $\sim(q \Rightarrow p)$

Explore More

Similar Questions

The converse of "If $3$ is a prime number,then $3$ is odd." is

The negation of the conditional statement,"If it rains,$I$ shall go to school" is:

Given the following two statements:
$(S_{1}): (q \vee p) \rightarrow (p \leftrightarrow \sim q)$ is a tautology.
$(S_{2}): \sim q \wedge (\sim p \leftrightarrow q)$ is a fallacy.
Then:

The compound statement $(\sim(P \wedge Q)) \vee ((\sim P) \wedge Q) \Rightarrow ((\sim P) \wedge (\sim Q))$ is equivalent to

The statement $(p \wedge \sim q) \wedge (\sim p \vee q)$ is which of the following?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo