Which of the following statement patterns is a tautology?
$S_{1} \equiv \sim p \rightarrow (q \leftrightarrow p)$
$S_{2} \equiv \sim p \vee \sim q$
$S_{3} \equiv (p$ $\rightarrow q) \wedge (q$ $\rightarrow p)$
$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$

  • A
    $S_{1}$
  • B
    $S_{2}$
  • C
    $S_{3}$
  • D
    $S_{4}$

Explore More

Similar Questions

Simplify the Boolean function $(x \cdot y)+[(x+y') \cdot y]'$

The proposition $p \rightarrow \sim( p \wedge \sim q )$ is equivalent to

If $(p \wedge \sim r) \rightarrow (\sim p \vee q)$ has a truth value of $False$,then the truth values of $p, q, r$ are respectively:

The proposition $(\sim p) \vee (p \wedge \sim q)$ is equivalent to

If $q$ is false and $p \wedge q \leftrightarrow r$ is true,then which of the following is a tautology?

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