$p :$ Suman is brilliant.
$q :$ Suman is rich.
$r :$ Suman is honest.
How can the negation of the statement "Suman is rich if and only if Suman is brilliant and dishonest" be represented?

  • A
    $\sim q \Leftrightarrow \sim p \wedge r$
  • B
    $\sim (p \wedge \sim r) \Leftrightarrow q$
  • C
    $\sim p \wedge (q \Leftrightarrow \sim r)$
  • D
    $\sim (q \Leftrightarrow (p \wedge \sim r))$

Explore More

Similar Questions

The statement $[(p \wedge q)$ $\rightarrow p]$ $\rightarrow (q \wedge \sim q)$ is

If the symbolic form of the switching circuit is $[\sim p \vee (p \wedge \sim q)] \vee q$,then the current flows through the circuit only if

Write the contrapositive of the following statement:
If a number is divisible by $9,$ then it is divisible by $3.$

If $p \rightarrow (q \vee r)$ is false,then what are the truth values of $p, q, r$ respectively?

Write the component statements of the following compound statement and check whether the compound statement is true or false.
$A$ line is straight and extends indefinitely in both directions.

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