Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.
Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.
- A
If a number is neither rational nor irrational then it is not real
- B
If a number is not a rational or not an irrational, then it is not real
- C
If a number is not real, then it is neither rational nor irrational
- D
If a number is real, then it is rational or irrational
Similar Questions
Let $r \in\{p, q, \sim p, \sim q\}$ be such that the logical statement $r \vee(\sim p) \Rightarrow(p \wedge q) \vee r \quad$ is a tautology. Then ' $r$ ' is equal to
Let $r \in\{p, q, \sim p, \sim q\}$ be such that the logical statement $r \vee(\sim p) \Rightarrow(p \wedge q) \vee r \quad$ is a tautology. Then ' $r$ ' is equal to
- [JEE MAIN 2022]
The negation of the statement
''If I become a teacher, then I will open a school'', is
The negation of the statement
''If I become a teacher, then I will open a school'', is
The logically equivalent proposition of $p \Leftrightarrow q$ is
The statement $p \to ( q \to p)$ is equivalent to
The statement $p \to ( q \to p)$ is equivalent to
- [JEE MAIN 2013]
Which of the following statements is $NOT$ logically equivalent to $\left( {p \to \sim p} \right) \to \left( {p \to q} \right)$?
Which of the following statements is $NOT$ logically equivalent to $\left( {p \to \sim p} \right) \to \left( {p \to q} \right)$?