Negation of the statement: $\sqrt{5}$ is an integer or $5$ is irrational is
- A$\sqrt{5}$ is an integer or $5$ is irrational
- B$\sqrt{5}$ is not an integer and $5$ is not irrational
- C$\sqrt{5}$ is an integer and $5$ is irrational
- D$\sqrt{5}$ is not an integer or $5$ is not irrational
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Which of the following statements is a tautology?
The statement $(p \wedge (p$ $\rightarrow q) \wedge (q$ $\rightarrow r))$ $\rightarrow r$ is :
Consider 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 dual of the converse of the inverse of the logical statement $p \to (q \to r)$ is equivalent to...
The last column in the truth table of the statement pattern $[p \rightarrow (q \wedge \sim p)] \vee [(p \vee \sim q) \wedge p]$ is
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