The false statement in the following is
The false statement in the following is
- A
$p \wedge (\sim p)$ is a contradiction
- B
$(p \Rightarrow q) \Leftrightarrow (\sim q \Rightarrow \;\sim p)$ is a contradiction
- C
$\sim (\sim p) \Leftrightarrow p$ is a tautology
- D
$p \vee (\sim p)$ is a tautology
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Consider the following three statements :
$P : 5$ is a prime number.
$Q : 7$ is a factor of $192$.
$R : L.C.M.$ of $5$ and $7$ is $35$.
Then the truth value of which one of the following statements is true?
Consider the following three statements :
$P : 5$ is a prime number.
$Q : 7$ is a factor of $192$.
$R : L.C.M.$ of $5$ and $7$ is $35$.
Then the truth value of which one of the following statements is true?
- [JEE MAIN 2019]
If the inverse of the conditional statement $p \to \left( { \sim q\ \wedge \sim r} \right)$ is false, then the respective truth values of the statements $p, q$ and $r$ is
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Contrapositive of the statement:
'If a function $f$ is differentiable at $a$, then it is also continuous at $a$', is
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- [JEE MAIN 2020]