$p :$ 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?
$q :$ 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$\sim (q \Leftrightarrow (p \wedge \sim r))$
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Similar Questions
If $p$ and $q$ are true statements and $r$ and $s$ are false statements,then the truth values of the statement patterns $(p \wedge q) \vee r$ and $(p \vee s) \leftrightarrow(q \wedge r)$ are respectively
Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
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Write the negation of the following statement and check whether the resulting statement is true:
Australia is a continent.
Australia is a continent.
Easy
View SolutionConsider the following statements:
$P$: Suman is brilliant
$Q$: Suman is rich
$R$: Suman is honest
The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as:
$P$: Suman is brilliant
$Q$: Suman is rich
$R$: Suman is honest
The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as:
DifficultJEE MAIN 2015
View SolutionThe negation of the statement "For every real number $x$,$x^2+5$ is positive" is
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