Negation of the statement $P$ : For every real number, either $x > 5$ or $x < 5$ is
There exist a real number $x$ such that neither $x \geq 5\,$ nor $x \leq 5\,$
For every real number, either $x < 5$ or $x > 5$
There exist a real number $x$ such that neither $x > 5$ nor $x < 5$
None of these
Negation of $(p \Rightarrow q) \Rightarrow(q \Rightarrow p)$ is
The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to
The statement $(p \wedge(\sim q) \vee((\sim p) \wedge q) \vee((\sim p) \wedge(\sim q))$ is equivalent to
Consider the following three statements :
$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$. Then, which of the following statements is correct?
If $p : 5$ is not greater than $2$ and $q$ : Jaipur is capital of Rajasthan, are two statements. Then negation of statement $p \Rightarrow q$ is the statement